EDGE20 ASSIGNMENT, WILL MARK BRAINLIEST FOR WHOLE ASSIGNMENT Quadratic in Form Polynomials
Assignment
Active
Practice writing as a quadratic.
ASSIGNMENT

EDGE20 ASSIGNMENT, WILL MARK BRAINLIEST FOR WHOLE ASSIGNMENT Quadratic In Form PolynomialsAssignmentActivePractice

Answers

Answer 1

Answer:

[tex] \bold{ \red{{y}^{2} + 7y - 8 = 0}}[/tex]

Step-by-step explanation:

[tex] {(3x + 2)}^{2} + 7 {(3x + 2)} - 8 = 0 \\ \\ plug \: (3x + 2 )= y \\ \\ so \: above \: quadratic \: equation \: \\transforms \: to \\ \\ \bold{ \red{{y}^{2} + 7y - 8 = 0}}[/tex]


Related Questions

Let X be a Poisson random variable with a population mean λ Find the value of λ that satisfies P(X 0 X 2)-1/8.

Answers

Thus, the value of λ that satisfies P(X > 0 and X < 2) = 1/8 is λ = 2.0794 using the Poisson distribution formula.

To find the value of λ that satisfies P(X > 0 and X < 2) = 1/8, we can use the Poisson distribution formula:
P(X = k) = (e^(-λ) * λ^k) / k!

where k is the number of events (in this case, 0 or 1) and λ is the population mean.

We can rewrite P(X > 0 and X < 2) as:
P(0 < X < 2) = P(X = 1)

So we need to find the value of λ that makes P(X = 1) = 1/8.
Plugging in k = 1 and simplifying, we get:
P(X = 1) = (e^(-λ) * λ) / 1!

Setting this equal to 1/8 and solving for λ, we get:
(e^(-λ) * λ) / 1! = 1/8
e^(-λ) * λ = 1/8

Taking the natural logarithm of both sides:
ln(e^(-λ) * λ) = ln(1/8)
-ln(λ) - λ = ln(1/8)
-ln(λ) - λ = -ln(8)

Multiplying both sides by -1 and rearranging, we get:
λ * e^λ = 8

Using trial and error or a calculator, we can find that the value of λ that satisfies this equation is approximately 2.0794.
Therefore, the value of λ that satisfies P(X > 0 and X < 2) = 1/8 is λ = 2.0794 (rounded to four decimal places).

Know more about the Poisson distribution formula

https://brainly.com/question/30388228

#SPJ11

If O is the center of the above circle, H is the midpoint of EG and D is the midpoint of AC, what is the μ(

Answers

The measure of the angle HOL is 35 degrees

How to determine the measure of the angle HOL

From the question, we have the following parameters that can be used in our computation:

O is the center of the circleH is the midpoint of EG D is the midpoint of AC

Also, we have

∠OJA = 125 degrees

By the corresponding angle theorem, we have

∠OLG = 125 degrees

The angle on a straight line is 180 degrees

So, we have

∠OLH = 180 - 125 degrees

∠OLH = 55 degrees

Next, we have

∠HOL = 90 - 55 degrees

Evaluate

∠HOL = 35 degrees

Hence, the measure of the angle HOL is 35 degrees

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

Suppose that f(x,y) = x^2+y^2 at which 0≤ x,y and 5x+7y ≤7Absolute minimum of f(x,y) is :Absolute maximum of f(x,y) is :

Answers

The absolute minimum of f(x,y) is f(5/2, 7/2) = (5/2)² + (7/2)² = 61/4.

The absolute maximum of f(x,y) over the feasible region is f(7/5,0) = 49/25.

We want to minimize and maximize the function f(x,y) = x² + y² subject to the constraint 0 ≤ x,y and 5x + 7y ≤ 7.

First, we can rewrite the constraint as y ≤ (-5/7)x + 1, which is the equation of the line with slope -5/7 and y-intercept 1.

Now, we can visualize the feasible region of the constraint by graphing the line and the boundaries x = 0 and y = 0, which form a triangle.

We can see that the feasible region is a triangle with vertices at (0,0), (7/5,0), and (0,1).

To find the absolute minimum and maximum of f(x,y) over this region, we can use the method of Lagrange multipliers. We want to find the values of x and y that minimize or maximize the function f(x,y) subject to the constraint g(x,y) = 5x + 7y - 7 = 0.

The Lagrangian function is L(x,y,λ) = f(x,y) - λg(x,y) = x² + y² - λ(5x + 7y - 7).

Taking the partial derivatives with respect to x, y, and λ, we get:

∂L/∂x = 2x - 5λ = 0

∂L/∂y = 2y - 7λ = 0

∂L/∂λ = 5x + 7y - 7 = 0

Solving these equations simultaneously, we get:

x = 5/2

y = 7/2

λ = 5/2

These values satisfy the necessary conditions for an extreme value, and they correspond to the point (5/2, 7/2) in the feasible region.

To determine whether this point corresponds to a minimum or maximum, we can check the second partial derivatives of f(x,y) and evaluate them at the critical point:

∂²f/∂x² = 2

∂²f/∂y² = 2

∂²f/∂x∂y = 0

The determinant of the Hessian matrix is 4 - 0 = 4, which is positive, so the critical point corresponds to a minimum of f(x,y) over the feasible region. Therefore, the absolute minimum of f(x,y) is f(5/2, 7/2) = (5/2)² + (7/2)² = 61/4.

To find the absolute maximum of f(x,y), we can evaluate the function at the vertices of the feasible region:

f(0,0) = 0

f(7/5,0) = (7/5)² + 0 = 49/25

f(0,1) = 1

To know more about function, refer to the link below:

https://brainly.com/question/30922124#

#SPJ11

If a correlation coefficient has an associated probability value of .02 thena. There is only a 2% chance that we would get a correlation coefficient this big (or bigger) if the null hypothesis were true.b. The results are importantc. We should accept the null hypothesisd. The hypothesis has been proven

Answers

Option (a) is correct. There is only a 2% chance that we would get a correlation coefficient as big as or bigger than the one observed if the null hypothesis were true.

If a correlation coefficient has an associated probability value of .02, it means that there is only a 2% chance that we would get a correlation coefficient this big (or bigger) if the null hypothesis were true.

This probability value, also known as the p-value, indicates the likelihood of observing the data or more extreme data if the null hypothesis were true. In this case, the null hypothesis would be that there is no correlation between the two variables being analyzed.

Therefore, option (a) is correct. There is only a 2% chance that we would get a correlation coefficient as big as or bigger than the one observed if the null hypothesis were true.

This means that the results are statistically significant, suggesting that there is a relationship between the variables being analyzed.

Option (b) is also correct. The results are important because they suggest that there is a significant relationship between the variables being analyzed.

This information can be used to inform decision-making and further research.

Option (c) is incorrect. We should not accept the null hypothesis because the p-value is less than the commonly used alpha level of 0.05.

This means that we reject the null hypothesis and conclude that there is a relationship between the variables.

Option (d) is also incorrect. The hypothesis has not been proven but is rather supported by the evidence.

Further research is needed to confirm the relationship between the variables and to determine the strength and direction of the relationship.

Know more about the null hypothesis here:

https://brainly.com/question/4436370

#SPJ11

Each bit operation is completed in 10 −9
seconds. You have one second to calculate the value of some function f(n) for the largest possible value of n. a) If calculating f(n) takes nlog 2

(n) big operations, then the largest value of n for which f(n) could be computed in one second is n=. (Round to the nearest million) b) If calculating f(n) takes n 2
big operations, then the largest value of n for which f(n) could be computed in one second is n=. (Round to the nearest thousand) c) If calculating f(n) takes 2 n
bit operations, then the largest value of n for which f(n) could be computed in one second is n=. (Round to the nearest whole number)

Answers

The largest value of n for which function f(n) could be computed in one second is approximately 2.8 million. The largest value of n is 31,623. The largest value of n is 30.

If calculating f(n) takes nlog₂(n) big operations, and each bit operation is completed in [tex]10^{-9}[/tex] seconds, we can calculate the largest value of n that can be computed in one second.

Let's set up the equation:

nlog₂(n) * [tex]10^{-9}[/tex] seconds = 1 second

Simplifying the equation:

nlog₂(n) =  [tex]10^{-9}[/tex]

To approximate the largest value of n, we can use trial and error or numerical methods. By trying different values of n, we can find that when n is around 2.8 million, the left-hand side of the equation is close to  [tex]10^{-9}[/tex] .

Therefore, the largest value of n for which f(n) could be computed in one second is approximately 2.8 million.

If calculating f(n) takes n² big operations, and each bit operation is completed in  [tex]10^{-9}[/tex]  seconds, we can calculate the largest value of n that can be computed in one second.

Let's set up the equation:

n² * [tex]10^{-9}[/tex] seconds = 1 second

Simplifying the equation:

n² =  [tex]10^{-9}[/tex]

Taking the square root of both sides:

n = √ [tex]10^{9}[/tex]

Calculating the value:

n ≈ 31622.7766

Therefore, the largest value of n for which f(n) could be computed in one second is approximately 31,623.

If calculating f(n) takes [tex]2^{n}[/tex] bit operations, and each bit operation is completed in  [tex]10^{-9}[/tex]  seconds, we can calculate the largest value of n that can be computed in one second.

Let's set up the equation:

[tex]2^{n}[/tex] *  [tex]10^{-9}[/tex]  seconds = 1 second

Simplifying the equation:

[tex]2^{n}[/tex] =  [tex]10^{9}[/tex]

Taking the logarithm base 2 of both sides:

n = log₂( [tex]10^{9}[/tex] )

Calculating the value:

n ≈ 29.897

Rounding to the nearest whole number:

n ≈ 30

Therefore, the largest value of n for which f(n) could be computed in one second is approximately 30.

To learn more about function here:

https://brainly.com/question/31966064

#SPJ4

In Exercises 11 and 12, determine if b is a linear combination of a1, a2, and a3 11. a1 a2 12. a a2 a3

Answers

To determine if a vector b is a linear combination of given vectors a1, a2, and a3, set up the equation b = x * a1 + y * a2 + z * a3 (if a3 is given). Solve the system of equations for x, y, and z (if a3 is given). If there exist values for x, y (and z if a3 is given) that satisfy the equations, then b is a linear combination of a1, a2 (and a3 if given).

To determine if b is a linear combination of a1, a2, and a3 in Exercises 11 and 12, you will need to check if there exist scalars x, y, and z such that:
b = x * a1 + y * a2 + z * a3

For Exercise 11:
1. Write down the given vectors a1, a2, and b.
2. Set up the equation b = x * a1 + y * a2, as there is no a3 mentioned in this exercise.
3. Solve the system of equations for x and y.

For Exercise 12:
1. Write down the given vectors a1, a2, a3, and b.
2. Set up the equation b = x * a1 + y * a2 + z * a3.
3. Solve the system of equations for x, y, and z.

If you can find values for x, y (and z in Exercise 12) that satisfy the equations, then b is a linear combination of a1, a2 (and a3 in Exercise 12). Please provide the specific vectors for each exercise so I can assist you further in solving these problems.

Learn more about linear combination:

https://brainly.com/question/30888143

#SPJ11

se newton's method to approximate the indicated root of the equation correct to six decimal places.the positive root of 3 sin x = x2

Answers

The equation of the tangent line to the curve y = 3 sin x - x^2 at x = 1.578 is:y - f(1.578) = f'(1.578)(x - 1.578)

To apply Newton's method, we need to find the equation of the tangent line to the curve at some initial approximation. Let's take x = 2 as the initial approximation.

The equation of the tangent line to the curve y = 3 sin x - x^2 at x = 2 is:

y - f(2) = f'(2)(x - 2)

where f(x) = 3 sin x - x^2 and f'(x) = 3 cos x - 2x.

Substituting x = 2 and simplifying, we get:

y - (-1) = (3 cos 2 - 4)(x - 2)

y + 1 = (-2.369) (x - 2)

Next, we solve for the value of x that makes y = 0 (i.e., the x-intercept of the tangent line), which will be our next approximation:

0 + 1 = (-2.369) (x - 2)

x - 2 = -0.422

x ≈ 1.578

Using this value as the new approximation, we repeat the process:

where f(x) = 3 sin x - x^2 and f'(x) = 3 cos x - 2x.

Substituting x = 1.578 and simplifying, we get:

y + 1.83 ≈ (-0.41) (x - 1.578)

Next, we solve for the value of x that makes y = 0:

-1.83 ≈ (-0.41) (x - 1.578)

x - 1.578 ≈ 4.463

x ≈ 6.041

We can repeat the process with this value as the new approximation, and continue until we reach the desired level of accuracy (six decimal places). However, it is important to note that the convergence of Newton's method is not guaranteed for all functions and initial approximations, and it may converge to a local minimum or diverge entirely in some cases.

Know more about tangent line here:

https://brainly.com/question/31326507

#SPJ11

Let H(x) be an antiderivative of^Sn* i 3+sin x 2 + 2 . If H(5)=? (C) (A) -9.008 (B) -5.867 4.626 (D) 12.150

Answers

Without knowing the value of C or the specific limits of Integration, it is not possible to determine the exact value of H(5).

To find the value of H(5), we need to evaluate the antiderivative H(x) at x = 5.

The antiderivative of the given function f(x) = √(3+sin(2x)) + 2 can be denoted as F(x), where F'(x) = f(x).

To find F(x), we need to find the antiderivative of each term separately. The antiderivative of √(3+sin(2x)) can be challenging to find in closed form, but fortunately, we don't need its explicit expression to evaluate H(5).

Since H(x) is an antiderivative of f(x), we can write:

H'(x) = F(x) = √(3+sin(2x)) + 2

Now, we can find the value of H(5) by evaluating the definite integral of F(x) from some arbitrary constant C to 5:

H(5) = ∫[C,5] F(x) dx

However, without knowing the value of C or the specific limits of integration, it is not possible to determine the exact value of H(5).

Therefore, none of the options (A), (B), (C), or (D) can be determined as the correct answer without additional information.

To know more about Integration.

https://brainly.com/question/988162

#SPJ11

The first tower that you decided to examine was the Eiffel Tower. The Eiffel Tower in Paris, France was part of the 1900 World's Fair. A surveyor set up his transit to measure the angle from the ground to the top of the tower, which was found to be 40 degrees. The distance from the center of the bottom of the tower to the vertex of the 40 degree angle is 202 meters.
How tall is the tower? Round your answer to the nearest full meter.

Answers

The triangle in the image is a right triangle. We are given a side and an angle, and asked to find another side. Therefore, we should use a trigonometric function.

Trigonometric Functions: SOH-CAH-TOA

---sin = opposite/hypotenuse, cosine = adjacent/hypotenuse, tangent = opposite/adjacent

In this problem, looking from the angle, we are given the adjacent side and want to find the opposite side. This means we should use the tangent function.

tan(40) = x / 202

x = tan(40) * 202

x = 169.498

x (rounded) = 169 meters

Answer: the tower is 169 meters tall

Hope this helps!

Consider the differential equation
dy / dt = (y − 1)(1 − t2)
Suppose you wish to use Euler's method to approximate the solution satisfying a particular initial condition: y(0) = y0 = 0.8.
If Δt = 0.7, compute y1 and y2. Enter the exact decimal value of y2.

Answers

Using Euler's method with Δt = 0.7, the approximate values for y1 and y2 are 0.556 and 0.340, respectively.

What are the approximate values of y1 and y2?

To approximate the values of y1 and y2 using Euler's method, we start with the initial condition y(0) = 0.8 and use the given differential equation dy/dt = (y - 1)(1 - t^2) with a step size of Δt = 0.7.

Approximate y1:

Using Euler's method, we compute y1 as follows:

y1 = y0 + Δt * (y0 - 1) * (1 - t0^2) = 0.8 + 0.7 * (0.8 - 1) * (1 - 0^2) = 0.556

Approximate y2:

Using Euler's method again, we calculate y2 as follows:

y2 = y1 + Δt * (y1 - 1) * (1 - t1^2) = 0.556 + 0.7 * (0.556 - 1) * (1 - 0.7^2) = 0.340

Therefore, the approximate value of y2 is 0.340.

Learn more about Euler's method

brainly.com/question/30699690

#SPJ11

1. Given: (x) = x^3− 3x + 1 A. (8 pts) Find the (x,y) coordinates of the critical points.
B. (6 pts) Determine the open intervals where the function is increasing or decreasing. (use interval notation) Show test points used.
C. (4 pts) Identify the (x,y) coordinates of the relative extrema.
D. (8pts) Determine the open intervals where the function is concave up and concave down. (use interval notation) Show test points used.
E. (2 pts) Find (x, y) coordinates of point(s) of inflection.
F. (2 pts) Sketch the graph

Answers

A. The critical points of the function are (1, -1) and (-1, -3).

B. The function is increasing on the intervals (-∞, -1) and (1, ∞), and decreasing on the interval (-1, 1). Test points are used to determine the intervals.

C. The relative maximum occurs at (-1, -3), and there is no relative minimum.

D. The function is concave up on the intervals (-∞, -1) and (1, ∞), and concave down on the interval (-1, 1). Test points are used to determine the intervals.

E. The point(s) of inflection are not provided.

F. The graph will have a relative maximum at (-1, -3), and concave up intervals on (-∞, -1) and (1, ∞), with a concave down interval on (-1, 1).

A. To find the critical points, we take the derivative of the function and set it equal to zero. The derivative of f(x) = x^3 - 3x + 1 is f'(x) = 3x^2 - 3. Solving 3x^2 - 3 = 0 gives x = ±1. Plugging these values back into the original function, we find the critical points as (1, -1) and (-1, -3).

B. To determine where the function is increasing or decreasing, we evaluate the derivative at test points within each interval. Choosing x = 0 as a test point, f'(0) = -3, indicating the function is decreasing on the interval (-1, 1). For x < -1, say x = -2, f'(-2) = 9, indicating the function is increasing. For x > 1, say x = 2, f'(2) = 9, indicating the function is increasing. Hence, the function is increasing on the intervals (-∞, -1) and (1, ∞), and decreasing on the interval (-1, 1).

C. To find the relative extrema, we evaluate the function at the critical points. Plugging x = -1 into f(x) gives f(-1) = -3, which corresponds to the relative maximum. There is no relative minimum.

D. To determine the intervals of concavity, we evaluate the second derivative of the function. The second derivative of f(x) is f''(x) = 6x. Evaluating test points within each interval, we find that f''(-2) = -12, f''(0) = 0, and f''(2) = 12. This indicates concave down on (-1, 1) and concave up on (-∞, -1) and (1, ∞).

E. The point of inflection are not provided, so we cannot determine their coordinates.

F. Based on the information obtained, we can sketch the graph of the function. It will have a relative maximum at (-1, -3), be concave up on (-∞, -1) and (1, ∞), and concave down on (-1, 1).

Learn more about point of inflection here:

https://brainly.com/question/30767426

#SPJ11

The table of values represents a quadratic function f(x).



x f(x)

−8 13

−7 6

−6 1

−5 −2

−4 −3

−3 −2

−2 1

−1 6

0 13


What is the equation of f(x)?

f(x) = (x + 5)2 − 2

f(x) = (x + 4)2 − 3

f(x) = (x − 4)2 − 3

f(x) = (x − 5)2 − 2

.

Answers

The table of values represents a quadratic function f(x), the equation of f(x) is f(x) = (x + 4)² - 3.

To determine the equation of the quadratic function f(x) based on the table of values, we can look for a pattern in the x and f(x) values.

By observing the table, we can see that the f(x) values correspond to the square of the x values with some additional constant term.

Comparing the given table with the options provided, we can see that the equation that fits the given data is:

f(x) = (x + 4)² - 3

This equation matches the f(x) values in the table for each corresponding x value.

Therefore, the equation of f(x) is f(x) = (x + 4)² - 3.

For more details regarding quadratic function, visit:

https://brainly.com/question/18958913

#SPJ1

Express the confidence interval 0. 777 < p< 0. 999 in the form p +_ E

Answers

The confidence interval 0.777 < p < 0.999 can be expressed in the form p ± E, where E represents the margin of error.

A confidence interval is a range of values that provides an estimate of the true value of a parameter, with a certain level of confidence. In this case, the confidence interval is given as 0.777 < p < 0.999, where p represents the parameter of interest.
To express this confidence interval in the form p ± E, we need to find the margin of error (E). The margin of error represents the maximum amount by which the estimate can vary from the true value of the parameter.
To calculate the margin of error, we subtract the lower bound of the confidence interval from the upper bound and divide it by 2. In this case, we have:
E = (0.999 - 0.777) / 2 = 0.111 / 2 = 0.0555.
Therefore, the confidence interval 0.777 < p < 0.999 can be expressed as p ± 0.0555. This means that the estimate for the parameter p can vary by a maximum of 0.0555 units in either direction from the midpoint of the confidence interval.

Learn more about confidence interval here
https://brainly.com/question/32546207



 #SPJ11

ruby corporation’s common stock has a beta of 1.5. if the risk-free rate is 4 percent and the expected return on the market is 10 percent, what is ruby’s cost of equity?

Answers

Ruby Corporation's cost of equity is 13 percent.

To calculate Ruby Corporation's cost of equity, we will use the Capital Asset Pricing Model (CAPM) formula which includes the terms beta, risk-free rate, and expected return on the market.

The CAPM formula is:

Cost of Equity = Risk-Free Rate + Beta * (Expected Return on Market - Risk-Free Rate)

Given the information in your question:

Beta = 1.5

Risk-Free Rate = 4 percent (0.04)

Expected Return on Market = 10 percent (0.10)

Now, let's plug these values into the CAPM formula:

Cost of Equity = 0.04 + 1.5 * (0.10 - 0.04)

Cost of Equity = 0.04 + 1.5 * 0.06

Cost of Equity = 0.04 + 0.09

Cost of Equity = 0.13

So, the cost of equity is 13 percent.

Learn more about Cost of equity:

https://brainly.com/question/30761849

#SPJ11

Give an example of a series [infinity]

n
=
1
c
n
that diverges even though c
n
<
0.0000001
for all n
and lim
n

[infinity]
c
n
=
0.

Answers

One example of such a series is the harmonic series with alternating signs:

∑n1(−1)nn= −1/1 + 1/2 − 1/3 + 1/4 − 1/5 + ...

This series alternates between positive and negative terms, with the magnitude of each term decreasing as n increases. Therefore, we can choose c

n

to be the absolute value of each term, which is always less than 0.0000001 for sufficiently large n.

Additionally, we know that the limit of the sequence of terms is zero, since the terms approach zero as n goes to infinity. However, the series still diverges, as shown by the alternating series test. Therefore, this series satisfies the conditions given in the problem.

Learn more about series here:

https://brainly.com/question/15415793

#SPJ11

let f(p)=18 and f(q)=24 where p=(6,3) and q=(6.03,2.96). approximate the directional derivative of f at p in the direction of q. the directional derivative is approximately

Answers

Thus, the directional derivative of f at p in the direction of q is approximately 72.

To approximate the directional derivative of f at p in the direction of q, we need to compute the gradient of f at p and then take the dot product with the unit vector in the direction of pq.

First, find the vector pq: pq = q - p = (6.03 - 6, 2.96 - 3) = (0.03, -0.04).

Next, find the magnitude of pq: ||pq|| = √(0.03^2 + (-0.04)^2) = √(0.0025) = 0.05.

Now, calculate the unit vector in the direction of pq: u = pq/||pq|| = (0.03/0.05, -0.04/0.05) = (0.6, -0.8).

Since we are given f(p) = 18 and f(q) = 24, we can approximate the gradient of f at p, ∇f(p), by calculating the difference in the function values divided by the distance between p and q:

∇f(p) ≈ (f(q) - f(p)) / ||pq|| = (24 - 18) / 0.05 = 120.

Finally, compute the directional derivative of f at p in the direction of q:
D_u f(p) = ∇f(p) · u = 120 * (0.6, -0.8) = 120 * (0.6 * 0.6 + (-0.8) * (-0.8)) ≈ 72.

So, the directional derivative of f at p in the direction of q is approximately 72.

Know more about the directional derivative

https://brainly.com/question/18722002

#SPJ11

When using the normal distribution (empirical rule) to obtain the bounds for 99.73 percent of the values in a population, the interval generally will be _____ the interval obtained for the same percentage if Chebyshev's theorem is assumed.a. narrower thanb. wider thanc. the same asd. a subset of

Answers

The interval for 99.73% of the values in a population using the normal distribution (empirical rule) will generally be narrower than the interval obtained for the same percentage if Chebyshev's theorem is assumed.

The empirical rule, which applies to a normal distribution, states that 99.73% of the values will fall within three standard deviations (±3σ) of the mean.

In contrast, Chebyshev's theorem is a more general rule that applies to any distribution, stating that at least 1 - (1/k²) of the values will fall within k standard deviations of the mean.

For 99.73% coverage, Chebyshev's theorem requires k ≈ 4.36, making its interval wider. The empirical rule provides a more precise estimate for a normal distribution, leading to a narrower interval.

To know more about normal distribution click on below link:

https://brainly.com/question/29509087#

#SPJ11

Yusuf was given a gift card for a coffee shop. Each morning, Yusuf uses the card to
buy one cup of coffee. Let A represent the amount money remaining on the card after
buying a cups of coffee. The table below has select values showing the linear
relationship between x and A. Determine the amount each cup of coffee costs.
I
A
19

Answers

The requreid cost per cup of coffee is $2.

If we had the table values for at least two amounts of remaining money and the corresponding number of cups of coffee, we could use the slope-intercept form of the linear equation (y = mx + b) to find the cost per cup of coffee.

For example, suppose we have the following table values:

x (cups of coffee) | A (remaining amount on card)

 0                     20

 1                     18

To find the cost per cup of coffee, we first need to calculate the slope of the line:

slope = (A₂ - A₁) / (x₂ - x₁)

= (18 - 20) / (1 - 0)

= -2

The slope tells us that for every cup of coffee purchased, the amount remaining on the card decreases by $2. Therefore, the cost per cup of coffee is $2.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ1

Consider the following.
g(x) = (x + 3)
(a) Find the critical numbers. (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.)
__________=Smallest
__________
__________=Largest
(b) Find the open intervals on which the function is increasing or decreasing. (If you need to use or –, enter INFINITY or –INFINITY, respectively. Enter NONE in any unused answer blanks.)
Increasing=
Decreasing=
(c) Graph the function

Answers

(a) To find the critical numbers, we need to take the derivative of the function g(x). The derivative of g(x) is simply 1. To find the critical numbers, we need to set the derivative equal to zero and solve for x.

1 = 0
There is no solution to this equation, which means that there are no critical numbers for the function g(x).

(b) Since there are no critical numbers, we can't use the first derivative test to determine the intervals on which the function is increasing or decreasing. However, we can still look at the graph of the function to determine the intervals of increase and decrease.

The graph of the function g(x) = (x + 3) is a straight line with a slope of 1. This means that the function is increasing for all values of x, since the slope is positive. Therefore, the interval of increase is from negative infinity to positive infinity, and the interval of decrease is NONE.

(c) The graph of the function g(x) = (x + 3) is a straight line passing through the point (-3, 0) with a slope of 1. The graph starts at (-3, 0) and continues to increase indefinitely. The graph is a line that goes through the origin with a slope of 1.

Learn more about critical numbers here:

https://brainly.com/question/29743892

#SPJ11

4. What is the volume of the prism? Type numbers only, NO UNITS OR SYMBOLS or your answer will be marked wrong.

Answers

The volume of the rectangular prism having a dimensions 12 by 8 by 2 is 192.

What is the volume of the rectangular prism?

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The volume of a rectangular prism is expressed as;

V = w × h × l

Where w is the width, h is height and l is length

From the diagram:

Length l = 12 units

Width w = 8 units

Height h = 2 units

Plug these values into the above formul and solve for the volume:

Volume V = w × h × l

Volume V = 8 × 2 × 12

Volume V = 192 cubic units.

Therefore, the volume is 192.

Learn more about volume of prism here: https://brainly.com/question/9796090

#SPJ1

ds dt = 12t (3t^2 - 1)^3 , s(1) = 3

Answers

One solution is t ≈ 0.4515, which corresponds to s ≈ 4.2496.

To solve this differential equation, we can use separation of variables:

ds/dt = 12t(3t^2 - 1)^3

ds/(3t(3t^2 - 1)^3) = 4dt

Integrating both sides:

∫ds/(3t(3t^2 - 1)^3) = ∫4dt

Using substitution, let u = 3t^2 - 1, du/dt = 6t

Then, we can rewrite the left-hand side as:

∫ds/(3t(3t^2 - 1)^3) = ∫du/(2u^3)

= -1/(u^2) + C1

Substituting back in u = 3t^2 - 1:

-1/(3t^2 - 1)^2 + C1 = 4t + C2

Using the initial condition s(1) = 3, we can solve for C2:

-1/(3(1)^2 - 1)^2 + C1 = 4(1) + C2

C2 = 2 - 1/16 + C1

Substituting C2 back into the equation, we get:

-1/(3t^2 - 1)^2 + C1 = 4t + 2 - 1/16 + C1

Simplifying:

-1/(3t^2 - 1)^2 = 4t + 2 - 1/16

Multiplying both sides by -(3t^2 - 1)^2:

1 = -(4t + 2 - 1/16)(3t^2 - 1)^2

Expanding and simplifying:

49t^6 - 48t^4 + 12t^2 - 1 = 0

This is a sixth-degree polynomial, which can be solved using numerical methods or approximations. One solution is t ≈ 0.4515, which corresponds to s ≈ 4.2496.

Learn more about solution here:

https://brainly.com/question/15757469

#SPJ11

show that the continuous function f : r - r given by /(x) = 1 /(l x) is bounded but has neither a maximum value nor a minimum value.

Answers

The function f(x) = 1/(lx) is bounded but does not have a maximum or minimum value due to its behavior near x = 0.

To show that the function f(x) = 1/(lx) is bounded, we need to find a number M such that |f(x)| ≤ M for all x in the domain of f. Since the function is defined for all real numbers except for x = 0, we can consider two cases: when x is positive and when x is negative.

When x is positive, we have f(x) = 1/(lx) ≤ 1/x for all x > 0. Therefore, we can choose M = 1 to bind the function from above.

When x is negative, we have f(x) = 1/(lx) = -1/(-lx) ≤ 1/(-lx) for all x < 0. Therefore, we can choose M = 1/|l| to bind the function from below.

Since we have found a number M for both cases, we conclude that f(x) is bounded for all x ≠ 0.

However, the function does not have a maximum or minimum value. This is because as x approaches 0 from either side, the function becomes unbounded. Therefore, no matter how large or small we choose our bounds, there will always be a point near x = 0 where the function exceeds these bounds.

You can learn more about function at: brainly.com/question/14418346

#SPJ11

what is the probability that z is between 1.57 and 1.87

Answers

The probability that z is between 1.57 and 1.87 is approximately 0.0275. This would also give us a result of approximately 0.0275.

Assuming you are referring to the standard normal distribution, we can use a standard normal table or a calculator to find the probability that z is between 1.57 and 1.87.

Using a standard normal table, we can find the area under the curve between z = 1.57 and z = 1.87 by subtracting the area to the left of z = 1.57 from the area to the left of z = 1.87. From the table, we can find that the area to the left of z = 1.57 is 0.9418, and the area to the left of z = 1.87 is 0.9693. Therefore, the area between z = 1.57 and z = 1.87 is:

0.9693 - 0.9418 = 0.0275

So the probability that z is between 1.57 and 1.87 is approximately 0.0275.

Alternatively, we could use a calculator to find the probability directly using the standard normal cumulative distribution function (CDF). Using a calculator, we would input:

P(1.57 ≤ z ≤ 1.87) = normalcdf(1.57, 1.87, 0, 1)

where 0 is the mean and 1 is the standard deviation of the standard normal distribution. This would also give us a result of approximately 0.0275.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ11

let f be a function with third derivative (4x 1)^3/2 what is the coeffecient of (x-2)^4 in the fourth degree taylor polynomial

Answers

The fourth-degree Taylor polynomial of f(x) is  [tex]27/(160 * 5^{(5/2)}).[/tex]

How can we determine the coefficient of [tex](x - 2)^4[/tex] in the fourth-degree Taylor polynomial of f(x)?

To find the coefficient of[tex](x - 2)^4[/tex]in the fourth-degree Taylor polynomial of the function f(x), we need to compute the derivatives of f(x) up to the fourth derivative and evaluate them at x = 2.

Given that f(x) has the third derivative [tex](4x + 1)^{(3/2)}[/tex], we can start by calculating the first four derivatives:

[tex]f'(x) = 3(4x + 1)^{(1/2)}\\f''(x) = 6(4x + 1)^{(-1/2)}\\f'''(x) = -12(4x + 1)^{(-3/2)}\\f''''(x) = 36(4x + 1)^{(-5/2)}\\[/tex]

Next, we evaluate each derivative at x = 2:

[tex]f'(2) = 3(4(2) + 1)^{(1/2)} = 15^({1/2)} = \sqrt15\\f''(2) = 6(4(2) + 1)^{(-1/2)} = 6/\sqrt15\\f'''(2) = -12(4(2) + 1)^{(-3/2)} = -12/(15^{(3/2)})\\f''''(2) = 36(4(2) + 1)^{(-5/2)} = 36/(15^{(5/2)})\\[/tex]

Finally, we use these values to calculate the coefficient of [tex](x - 2)^4[/tex] in the fourth-degree Taylor polynomial, which corresponds to the fourth derivative:

coefficient =[tex]f''''(2) * (4!) / (4)^4[/tex]

Simplifying the expression:

coefficient =[tex](36/(15^{(5/2)})) * 24 / 256[/tex]

coefficient =[tex](9/(5^{(5/2)})) * 3 / 32[/tex]

coefficient [tex]= 27/(160 * 5^{(5/2)})[/tex]

Therefore, the coefficient of [tex](x - 2)^4[/tex] in the fourth-degree Taylor polynomial of f(x) is  [tex]27/(160 * 5^{(5/2)}).[/tex]

Learn more about Taylor polynomials

brainly.com/question/30481013

#SPJ11

does anyone know the answer?! ​

Answers

The sum of angles in any triangle is 180 degrees.

We are given that;

The line AB parallel to CD

Now,

angle ACD = angle A (alternate interior angles) angle BCD = angle C (corresponding angles) angle ACD + angle BCD + angle B = 180 (sum of angles in a straight line)

Substituting angle A for angle ACD and angle C for angle BCD, we get:

x + z + y = 180

which is equivalent to:

x + y + z = 180

Therefore, by the angles the answer will be 180 degrees.

Learn more about angles here:

https://brainly.com/question/27458498

#SPJ1

consider the integral: ∫π/20(8 4cos(x)) dx solve the given equation analytically. (round the final answer to four decimal places.)

Answers

The integral value is approximately 4(π + 1) ≈ 16.5664 when rounded to four decimal places.

To solve the integral ∫(8 + 4cos(x)) dx from π/2 to 0, first, find the antiderivative of the integrand. The antiderivative of 8 is 8x, and the antiderivative of 4cos(x) is 4sin(x). Thus, the antiderivative is 8x + 4sin(x). Now, evaluate the antiderivative at the upper limit (π/2) and lower limit (0), and subtract the results:
(8(π/2) + 4sin(π/2)) - (8(0) + 4sin(0)) = 4π + 4 - 0 = 4(π + 1).
The integral value is approximately 4(π + 1) ≈ 16.5664 when rounded to four decimal places.

Learn more about upper limit here:

https://brainly.com/question/31030658

#SPJ11

you have fifteen slices of bread and five servings of peanut butter. how many sandwiches can you make

Answers

Answer: 5

Step-by-step explanation:

15 odd number

closest even is 14

14/2 =7 but you only have 5 servings of PB

so its 5

Troy and Ronnye wrote down how much time they spent at play rehearsal each week for six weeks. Troy spent 6, 4, 8, 5, 10, and nine hours at play rehearsal. Ronnye spent 4, 6, 3, 7, 7, and three hours at play rehearsal how old is the range of hours Troy spent at play rehearsal? Answer the question of find out

Answers

The range of hours Troy spent at play rehearsal can be found by subtracting the minimum number of hours from the maximum number of hours he spent over the six weeks.

To find the range of hours Troy spent at play rehearsal, we need to determine the minimum and maximum number of hours he spent.

Troy spent 6, 4, 8, 5, 10, and 9 hours at play rehearsal over the six weeks. The minimum number of hours is 4 (which occurred in the second week), and the maximum number of hours is 10 (which occurred in the fifth week).

To find the range, we subtract the minimum from the maximum: 10 - 4 = 6.

Therefore, the range of hours Troy spent at play rehearsal is 6 hours. This means that the difference between the minimum and maximum number of hours he spent is 6.

Learn more about range here:

https://brainly.com/question/29204101

#SPJ11

if we find that the null hypothesis, h0:βj=0h0:βj=0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should:

Answers

If we find that the null hypothesis, H0: βj = 0, cannot be rejected when testing the contribution of an individual regressor variable to the model, we usually should consider removing that variable from the model.

When the null hypothesis cannot be rejected, it suggests that there is not enough evidence to support the claim that the specific regressor variable has a significant impact on the model's outcome. In such cases, including the variable in the model may not improve the model's predictive power or provide meaningful insights.

Removing the non-significant variable can help simplify the model and reduce complexity. It can also improve interpretability by focusing on the variables that have a more substantial effect on the response variable.

However, it is important to carefully consider the context, theoretical relevance, and potential confounding factors before removing a variable solely based on its lack of significance. Additionally, consulting with domain experts and considering the overall model performance are crucial steps in the decision-making process.

learn more about "domain ":- https://brainly.com/question/26098895

#SPJ11

find the gs’s of the following 3 des: ′′ − 2 ′ = 0

Answers

Thus, the general solutions of the differential equation ′′ − 2 ′ = 0 are y(t) = c1 + c2 e^(2t).

To find the general solutions of the differential equation ′′ − 2 ′ = 0, we first need to solve for the characteristic equation.

To do this, we assume that the solution is in the form of y = e^(rt), where r is a constant.

We then take the first and second derivatives of y with respect to t, and substitute them into the differential equation to get:
r^2 e^(rt) - 2re^(rt) = 0

We can then factor out e^(rt) to get:
e^(rt) (r^2 - 2r) = 0

Solving for the roots of the characteristic equation r^2 - 2r = 0, we get r = 0 and r = 2. These roots correspond to two possible general solutions:
y1(t) = e^(0t) = 1
y2(t) = e^(2t)

Therefore, the general solution of the differential equation is given by:
y(t) = c1 + c2 e^(2t)
where c1 and c2 are constants determined by initial conditions or boundary conditions.

Know more about the differential equation

https://brainly.com/question/1164377

#SPJ11

Other Questions
Find the remainder when 2x^3 + 15x^2 + 31x + 12 is divided by (x-1) Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of 13 cm. (round to the nearest whole number) A family wants to rent a car to go on vacation. Company a charges $70.50 and $.50 per mile. Company B charges $35.50 and nine cents per mile. How much moreDoes Company a charge for X miles then company b? Many factors limit the growth of populations in ecosystems. Human activity can cause changes in ecosystems and can affect the limiting factors that act on populations. Which of the following factors that can limit population growth has been most affected by humans? A.size of natural habitatsB.drought and floodingC.parasitismD.predator-prey relationships The equations 3x - 4y = -2,4x-y-4, 3x+4y= 2, and 4x+y=-4 are shown on the graph below.-505 XWhich is the approximate solution for the system of equations 3x+4y = 2 and 4x+y=-4? Why are feathers "easy to repair"? 6. The distribution of electrical charges of an atom to form a bond. Problem 17-1A Comparing costs using ABC with the plantwide overhead rate LO P1, P3, A1, A2 3x+2=14 what number makes the equation true? Which is equivalent to 72 inches?O A 0.72 yardsO B. 2 yardsO c. 6 yardsO D. 7.2 yardsO E. 36 yards Suppose that you are running a business and you need some extra space for one year. Your bank offers you a loan of $200,000 at 0% interest. You consider borrowing this amount, buying the building, using it for one year, and then selling the building to pay back the loan. Unfortunately, the economy in which you are operating is experiencing deflation at a rate of 10% per year.After one year, you should be able to sell the building for _.Suppose that owning the building for a year would earn you $5,000. To decide whether or not you will be better off by owning it for one year and then selling it, you sought advice from three different people: (1) Your brother says that you should not buy the building because in one year it will cost you $100,000. (2) Your accountant says that you should definitely buy the building because you can borrow $100,000 at zero interest while the building will generate $5,000 in extra income. Then when you sell it, you will be $5,000 richer. (3) Your bookkeeper says that if you sell the building in a year, you will have to come up with more money to pay off the loan than you will make in extra income. Keeping in mind that the economy experiences deflation at the rate of 10%, yourbookkeeper is right because: ________a. When the nominal interest rate is zero, you do not incur any cost when you take out a loan. b. The extra income you will earn will be less than the cost of owning the building for the year. c. When the nominal interest rate is zero, the cost of a building is its full purchase price Thetellyou which element it is.Atoms of the same element with a different number of NEUTRONS areAtoms of the same element with a different number of ELECTRONS areThe PROTONS and NEUTRONS Can/Can't leave an atom during achemical reaction. The Electrons Can/Can't leave an atom during achemical reaction.In a balanced atom, theequal the Does the graph represent a function? (will give BRAINLIEST) Internet Is Not a Substitute for Libraries Earlier, students could only scan libraries to research for their essays and reports. However, living in the age of the internet has made accessing information easier than ever. The internet as a source of information has enabled many students, researchers, professionals, and even teachers to effectively and quickly improve their work. But it is not the best source of research. People can write whatever they think or feel about a subject and publish it on the internet, which can be biased, inaccurate, and even insensitive. Libraries, on the other hand, only house selective and original resource materials that have been thoroughly researched and reviewed before being published. A major problem with the internet is that the information is uncatalogued and saturated with a lot more information than what is needed. For instance, a search engine will provide an ample amount of recent content regardless of how useful. Libraries have not only a proper classifying system to organize all the information but also a person to sort and filter that information. Still, many people argue that libraries are not ideal for research because they do not work around the clock, but the originality and many benefits of libraries are undeniable. Therefore, the internet, despite being an essential tool for modern life, should not be the only nof research for students to explore. 3 Select the correct answer. What claim does the author make about the resource materials available on the internet? A. The information is exclusive and provides an in-depth analysis of a topic. B. The information is unreliable because the internet lacks quality control. C. The information is unfiltered and provides a platform for opposing views and opinions. D. The information is instant because of how easy it is to upload information on the internet. PLEASE HELP ONLY IF YOUR FOR SURE!! PLEASE HELP!!! I need an urgent answer and I'll give brainiest just please answer this easy question! Implement a class Car with the following properties. A car has a certain fuel efficiency (measured in miles/gallon or liters/kmpick one) and a certain amount of fuel in the gas tank. The efficiency is specified in the constructor, and the initial fuel level is 0. Supply a function drive that simulates driving the car for a certain distance, reducing the fuel level in the gas tank, and functions get_gas, to return the current fuel level, and add_gas, to tank up. Sample usage:Car my_beemer(29); // 29 miles per gallonmy_beemer.add_gas(20); // Tank 20 gallonsmy_beemer.drive(100); // Drive 100 milescout 2. En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. Cul es el ancho real del castillo? What questions do you think remain unanswered in "The Wife's Lament"? Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 2 1 2 4 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 6 1 2 3Required:a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch.b. What proportion of batches in the sample have at most six nonconforming transducers?c. What proportion have fewer than six? (Enter your answer to three decimal places.)d. What proportion have at least six nonconforming units?