X = 1 means that we roll exactly 6 in the 3 trials. This means that the probability of rolling a 6 in this situation is 3(0.4)(0.6)2.
The probability of rolling a 6 in any given trial is 0.6 since Mrs. Chauvet's cube is unfair. The probability of getting a 6 in two of the three trials is 3(0.4)(0.6)2, while the probability of rolling a 6 in all three trials is 1(0.6)3. This means that the chance of rolling a 6 in any combination among three trials is the sum of the probabilities of rolling a 6 in each trial (0.6 + 0.6 + 0.6 = 1.8).
The probability of rolling a 6 exactly once in three trials is 3(0.4)(0.6)2, which is the probability of getting a 6 in one of the three trials and not getting a 6 in the other two.
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Nancy and Bill collect coins. Nancy has x coins. Bill has 2 coins fewer than four times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.
An expression for the total number of coins Nancy and Bill have is
5x - 2 coins.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Nancy has x coins. Bill has 2 coins fewer than four times the number of coins Nancy has.
The numerical form of the statement will be for the total number of coins they both have is,
= x + (4x - 2).
= 5x - 2 coins.
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How to Convert Cubic Feet to Cubic Yards
9 feet is equivalent to 3 total yards since 3 feet is 1 yard. 3 feet wide is equivalent to 1 yard.
How much are yards in cubic feet?9 feet is equivalent to 3 total yards since 3 feet = 1 yard. 3 feet wide is equivalent to 1 yard. The dimensions are 12 inches tall by 1 foot deep, or one-third of a yard.A cubic yard is 3 × 3 x 3, or 27 cubic feet, as a yard is 3 feet or 36 inches (ft3).Measurements in feet: Length, Width, and Depth (inches divided by 12). Divide the total sum by 27. (the amount of cubic feet in a yard). The projected number of cubic yards needed will be the final value.9 feet is equivalent to 3 total yards since 3 feet is 1 yard. 3 feet wide is equivalent to 1 yard.To learn more about Cubic Feet refer to:
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A theater can be rented for exactly 2,3, or 4 hours. The cost is a $100 deposit plus $200 per hour. Write a function to describe the situation. Find the reasonable domain and range for the function
The function that represent the cost of the rent per hour is f(h) = 200h + 100
The domain is {0, 2, 3, 4} and the range for the function is {0$, 500$, 700$, 900$}
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
To solve this problem, we have to state the equation using the information of the problem:
Information about the problem:
Let be (h) as the hours that the theater can be rented
The function will be as follow:
f(h) = 200h + 100 where:
Domain = {0, 2, 3, 4}
Range = {0$, 500$, 700$, 900$}
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indicate whether the statement is true or false. (a) z ⊂ r (b) z ⊆ r (c) z ⊆ r (d) n ⊂ r (e) z ⊂ n
a) z ⊂ r - True
b) z ⊆ r - True
c) z ⊆ r - True
d) n ⊂ r - True
e) z ⊂ n - False
What is the subset?
A subset is a set of elements that are contained within another set. The elements of the subset are referred to as its members or elements, and the set that contains the subset is called the superset.
In mathematical notation, if A is a subset of B, it is written as A ⊆ B. If A is not a subset of B, it is written as A ⊈ B.
Given the definitions:
z = {...-3,-2,-1,0,1,2,3,...} - The set of all integers.
n = {1,2,3,4, ...} - The set of all positive integers.
r = set of real numbers - The set of all real numbers (positive, negative, and zero).
(a) z ⊂ r - True. The set of integers is a subset of the set of real numbers.
(b) z ⊆ r - True. The set of integers is a subset of the set of real numbers.
(c) z ⊆ r - True. This is the same statement as in (b).
(d) n ⊂ r - True. The set of positive integers is a proper subset of the set of real numbers.
(e) z ⊂ n - False. The set of integers is not a subset of the set of positive integers.
Hence,
a) z ⊂ r - True
b) z ⊆ r - True
c) z ⊆ r - True
d) n ⊂ r - True
e) z ⊂ n - False
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The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
y=
3x108
X
What is the wavelength for radio waves with frequency 3 × 109?
01x10-1 m
O 3× 10-¹ m
O3x1017
O 9x1017 m
The wavelength for radio waves with frequency 3 × 10^9 is given as follows:
3 x 10^-1 m.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
y = (3 x 10^8)/x.
The wavelength for radio waves with frequency x = 3 × 10^9 is given as follows:
y = (3 x 10^8)/(3 x 10^9).
y = 3 x 10^(-1).
(keep the base and subtract the exponents).
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Consider the set of all possible five-card poker hands dealt fairly from a standard deck of fifty-two cards.
How many atomic events are there in the joint probability distribution (i.e., how many five-card hands are there)?
Total atomic events or count = 2598960
Now, According to the question:
A joint probability distribution represents a probability distribution for two or more random variables. Instead of events being labelled A and B, the condition is to use X and Y as given below. f(x, y) = P(X = x, Y = y) The main purpose of this is to look for a relationship between two variables.
In a deck of cards there are 52 cards having 4 different suits each having 13 different ranks.
In a joint probability distribution of 5 cards hand from a 52 deck of cards is calculated as shown below:
Total atomic events or count = ⁵²C₅
= 52!/5! * (52-5)!
= 52!/5! * 47!
= (48 x 49 x 50 x 51 x 52)/5!
= 311875200/120
= 2598960
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if h(x)=∫sin2x−π4csc(t4 1)ⅆt for −π4≤x≤π4, then h′(x)=
The derivatives of h(x) is h'(x) = √2 csc ([tex]x^4[/tex] + 1).
We have,
To find h'(x), we need to take the derivative of h(x) with respect to x using the Fundamental Theorem of Calculus.
Given that h(x) = ∫sin(2x - π/4) csc([tex]x^4[/tex] + 1) dt, we can rewrite it as:
h(x) = ∫[a, x] sin(2t - π/4) csc([tex]t^4[/tex] + 1) dt
Now, we'll apply the Fundamental Theorem of Calculus:
h'(x) = d/dx [∫[a, x] sin(2t - π/4) csc([tex]t^4[/tex] + 1) dt]
Using the Leibniz integral rule, we have:
h'(x) = sin(2x - π/4) csc([tex]x^4[/tex] + 1) - sin(2a - π/4) csc([tex]a^4[/tex] + 1)
However, we need to evaluate this derivative at x = π/4 and x = -π/4, so we substitute these values in:
h'(π/4) = sin(2(π/4) - π/4) csc((π/4)^4 + 1) - sin(2a - π/4) csc([tex]a^4[/tex] + 1)
h'(-π/4) = sin(2(-π/4) - π/4) csc((-π/4)^4 + 1) - sin(2a - π/4) csc(a^4 + 1)
Since the derivative is evaluated at the endpoints, the term with sin(2a - π/4) cancels out in both expressions.
Therefore, the derivative simplifies to:
h'(x) = sin(π/4) csc([tex]x^4[/tex] + 1) - sin(-π/4) csc([tex]x^4[/tex] + 1)
simplifying further:
h'(x) = (√2/2) csc([tex]x^4[/tex] + 1) + (√2/2) csc([tex]x^4[/tex] + 1)
Combining like terms, we have:
h'(x) = (√2/2) (csc([tex]x^4[/tex] + 1) + csc([tex]x^4[/tex] + 1))
h'(x) = (√2/2) (2csc([tex]x^4[/tex] + 1))
Finally, simplifying:
h'(x) = √2 csc([tex]x^4[/tex] + 1)
Therefore,
The derivatives of h(x) is h'(x) = √2 csc([tex]x^4[/tex] + 1).
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The complete question:
If h(x) = ∫sin 2x − π/4 csc (x^4 - 1) dt for −π/4 ≤ x ≤ π/4, then h′(x)?
the set of all objects of interest is called a. event b. survey c. sample d. population e. experiment
The set of all objects of interest is called population.
What do you mean of population?Any whole group that shares at least one trait is referred to be a population. People do not make up all populations. Populations can include, but are not limited to, individuals, animals, organisations, structures, buildings, cars, farms, objects, or occasions.The term "population" refers to all citizens who are either permanently residing in a country or who are just passing through. This indicator reveals how many people typically reside in a certain area. Growth rates are the population changes that occur each year as a result of births, deaths, and net migration.Age-sex distributions can be used to generate three different types of population pyramids: expanding, constrictive, and stationary.
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consider the cardiod r=1 sintheta determine the values wehre teh curve has a horizontal and vertical tangents
So, if the curve has a horizontal tangent, the values are = k, where k is an integer, and where the curve has a vertical tangent, the values are = (2k + 1)/2, where k is an integer.
What is cardiod?A cardiod is a curve defined by the equation r = 1 + cos(θ), where r is the radial coordinate and θ is the angular coordinate. The equation can be re-written as r = 1 + cos(θ) = 1 + 2cos^2(θ/2) for 0 <= θ <= 2π. A curve has a horizontal tangent when its derivative with respect to θ is equal to zero, which means the slope of the tangent line is 0. The derivative of r with respect to θ is dr/dθ = -sin(θ). Thus, the curve has a horizontal tangent when -sin(θ) = 0, or θ = kπ, where k is an integer.
Here,
A curve has a vertical tangent when its second derivative with respect to θ is equal to zero, which means the rate of change of the slope is 0. The second derivative of r with respect to θ is d^2r/dθ^2 = -cos(θ). Thus, the curve has a vertical tangent when -cos(θ) = 0, or θ = (2k + 1)π/2, where k is an integer.
So, the values of θ where the curve has a horizontal tangent are θ = kπ, where k is an integer, and the values of θ where the curve has a vertical tangent are θ = (2k + 1)π/2, where k is an integer.
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let a1 , a2 , and b . for what value(s) of h is b in the plane spanned by a1 and a2?
-17 is value(s) of h is b in the plane .
A straightforward explanation of a vector ?
A quantity or phenomena with both magnitude and direction being independent of one another is called a vector. Additionally, the phrase designates how such a quantity is represented mathematically or geometrically.
Velocity, momentum, force, electromagnetic fields, and weight are some natural examples of vectors.
For the plane spanned by a1 and a2, y is a linear combination of a1 and a2 if it is in the plane.
y = a a1 + b a2 where a and b are constants.
[4,1,h] = a[1,4,-2] + b[-2,-3,7]
[4,1,h] = [a - 2b,4a -3b,-2a+ 7b] by the rules of vector addition and multiplication. Vectors are equal if their components are equal
4 = a - 2b
1 = 4a - 3b
h = -2a + 7b
We can solve for a and b from the first two equations to find h:
a = -2
b = -3
h = -17
We see that -2[1,4,-2] - 3[-2,-3,7] = [4,1,-17].
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The complete question is -
For what value(s) of h is b in the plane spanned by a1 and a2?
a1 = [1, 4, -2] a2 = [-2, -3, 7] b = [4, 1, h]
Is nitrogen trigonal pyramidal?
The Nitrogen is commonly considered as a Trigonal Pyramidal molecule .
In a Trigonal Pyramidal arrangement, there are three atoms attached to the central atom at the corners of a triangular plane, with the fourth atom attached above or below the plane.
This molecular geometry is commonly observed in compounds where the central atom has five valence electrons, such as nitrogen in its most common oxidation state of +3.
The Nitrogen in this oxidation state forms compounds like nitrogen triiodide (NI₃) and nitrogen trioxide (NO₃), which have a trigonal pyramidal geometry.
Therefore , Yes , Nitrogen is trigonal pyramidal .
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Help I don’t know what to do
The rhombus have the meeting of the side length CD to be equal to 15.
What is a rhombusA rhombus is a two-dimensional geometric shape with four equal sides and four equal angles, but the angles are not necessarily 90 degrees. It is a type of parallelogram.
Since all the sides of the rhombus are equal, then;
AD = AB = CD
4x - 9 = 2x + 3 = CD
we can solve for x as follows:
4x - 9 = 2x + 3
4x - 2x = 9 + 3 {collect like terms}
2x = 12
x = 12/2 {divide through by 2}
x = 6
so;
AD = 4(6) - 9
AD = 15.
Therefore, the rhombus have the meeting of the side length CD to be equal to 15.
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The height of a tree at time t is given by a twice-differentiable function H, where H(t) is measured in meters and t is measured in years. Selected values of H(t) are given in the table above.
(a) Use the data in the table to estimate H'(6). Using correct units. interpret the meaning of H'(6) in the context of the problem.
(b) Explain why there must be at least one time t, for 2 < t < 10, such that H'(t) = 2.
(c) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate the average height of the tree over the time interval 2 ≤ t ≤ 10.
(d) The height of the tree, in meters, can also be modeled by the function G, given by
G(x) = 100x/(1+x), where x is the diameter of the base of the tree, in meters. When the tree is 50 meters tall, the diameter of the base of the tree is increasing at a rate of 0.03 meter per year. According to this model, what is the rate of change of the height of the tree with respect to time, in meters per year, at the time when the tree is 50 meters tall?
(This was on the no-calculator section of the recently-released AP Calculus AB 2018 exam so I appreciate it if you tried to limit calculator usage)
(a) H'(6) is the rate of change of the height of the tree at time t=6, which is the slope of the line tangent to the graph of H(t) at that point. Using the data in the table, we can estimate H'(6) to be 3.2 meters per year. This means that, at t=6, the height of the tree is increasing at a rate of 3.2 meters per year.
(b) H'(t) is the rate of change of the height of the tree at time t. Since H'(t) is twice-differentiable, it is continuous and can take any value between its minimum and maximum values. Therefore, there must be at least one time t, for 2 < t < 10, such that H'(t) = 2.
(c) To approximate the average height of the tree over the time interval 2 ≤ t ≤ 10, we can use a trapezoidal sum with the four subintervals indicated by the data in the table. We have:
Subinterval 1: Height = 10; Width = 2 Subinterval 2: Height = 14; Width = 2 Subinterval 3: Height = 18; Width = 3 Subinterval 4: Height = 22; Width = 3Therefore, the average height of the tree over the time interval 2 ≤ t ≤ 10 can be approximated by the trapezoidal sum:
(10 + 14 + 18 + 22) × (2 + 2 + 3 + 3) / 8 = 196/8 = 24.5 meters.
(d) According to the given model, G(x) = 100x/(1+x), if the tree is 50 meters tall, then the diameter of the base of the tree is x = 2, and the rate of change of the height of the tree with respect to time, in meters per year, is given by G'(2) = 100(1 - 2)/(1 + 2)² = -100/9. Therefore, the rate of change of the height of the tree with respect to time, in meters per year, at the time when the tree is 50 meters tall is -100/9 meters per year.
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What is the sum of the infinite geometric series? (2 points) 16 - 12 + 9 - 27/4+...
The sum of the infinite geometric series is 64/7.
What is Geometric Progression?Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.
This ratio is common ratio.
Geometric series is the sum of the numbers in the geometric progression.
Sum of an infinite geometric series can be found by the formula,
S = a / (1 - r)
where a is the first term and r is the common ratio.
Given series is 16 - 12 + 9 - 27/4 + ...
a = 16
r = -12 / 16 = -3/4
S = 16 / (1 - -3/4)
= 16 / (1 + 3/4)
= 16 / (7/4)
= 64/7
Hence the required sum is 64/7.
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In each of Problems 1 through 4, draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t → 0. If this behavior depends on the initial value of y at t = 0, describe the dependency.
A. y' = 3 – 2y B. y' = 2y – 3
C. y'= -1 -2y D. y' =1+2y
The collection of short line segments with a slope that should satisfy the specified differential equation at each point is referred to as the direction field.
The stated differential equation is :
y' = 2y – 3 => dy/dx = 2y – 3
Find equilibrium solution, at dy/dx = 0.
2y – 3 = 0
y = 3/2
At y = 3/2, the intervals are: ]3/2, ∞[
Put any value of y in this differential equation,
2y – 3 at y = 2
2*2 – 3 = 1 > 0
Thus, slope becomes positive for y > 3/2 .
As, the relation between t and the obtained solution y are increases.
Thus, y < 3/2 : intervals are: ]- ∞, 3/2[
Put any value of y in this differential equation,
2y – 3 at y = 1
2*1 – 3 = -1 < 0
Thus, slope becomes negative for y < 3/2 .
As, the relation between t and the obtained solution y in decreases.
Therefore, the direction field for the stated differential equation is obtained.
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the correct question is-
Draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t → 0. If this behavior depends on the initial value of y at t = 0, describe the dependency.
y' = 2y – 3
Carlie's stock rose by points in trading today. Let represent yesterday's stock price at closing and represent today's stock price at closing.
i) What is a formula that correctly relates and ?
ii) If yesterday's closing price was , what was today's closing price?
i. The formula that correctly relates Y and T is T=Y+1 and today's closing price is 33.
Given information is that:
Carlie's stock rose by 1 point in trading today.
Let Y represent yesterday's stock price at closing
Let T represent today's stock price at closing
=> formula that correctly relates Y and T is:
T=Y+1
ii) If yesterday's closing price was 32 what was today's closing price?
today's closing price = yesterday's closing price + 1
<=> T=Y+1
<=> T=32+1=33.
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Find the equation of the plane passing through the points (1,−1,2) and (2,−2,2) and which is perpendicular to the plane 6x−2y+2z=9
The equation of plane will be x+y-2z=4.
Write about a plane.
A plane in geometry can go on forever in two dimensions. The absence of width. An illustration of coordinate geometry is a plane. The coordinates of a point in a plane determine its position.
In mathematics, a plane is a two-dimensional, flat surface that never ends. A plane is a two-dimensional equivalent that includes three spatial dimensions, a line, and a point. In some higher-dimensional environments, planes can resemble subspaces, as though the room's walls had been greatly extended. These walls possess a distinct existence all their own, just as in the framework of Euclidean geometry.
The equation of plane can be used to represent a plane surface in three dimensions. There are numerous methods that can be used to find the equation for a plane depending on the input values given. The equation for the plane can be expressed in either cartesian form or vector form.
Hence, the general form of the equation is A(x−x1)+B(y−y1)+C(z−z1)=0
Now,
The solution is provided in image.
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find the area of equilateral triangle would length of one side is 4√3
The area of the equilateral triangle is A = 12*√3 square units.
How to find the area of the triangle?We know that for a equilateral triangle of side length S is given by the formula below:
A = (√3/4)*S²
Here we know that the sidelength is 4√3, then we can replace that on the expression above to get:
A = (√3/4)*(4√3)²
A = (√3/4)*16*3
A = √3*(4*3)
A = 12*√3
That is the area of the equilateral triangle.
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I need to know the expressions to the correction location on the model
The given expression (5x² + 25x + 20) / 7x is equivalent to the expression [(x² + 2x + 1) / (x - 1)] × [(5x² + 15x - 20) / (7x² + 7x)].
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The given expression is - (5x² + 25x + 20) / 7x
The other two expression are -
(x² + 2x + 1) / (7x² + 7x)
Let the unknown expression be x.
So according to the question -
(x² + 2x + 1) / (7x² + 7x) × x = (5x² + 25x + 20) / 7x
Cross multiply the polynomials -
x = [(5x² + 25x + 20) / 7x] × [(7x² + 7x) / (x² + 2x + 1)]
Here, it can be seen that (x² + 2x + 1) is the expansion of (x + 1)² and (7x² + 7x) = 7x (x + 1).
Substitute these values into the equation -
x = [(5x² + 25x + 20) / 7x] × [7x (x + 1) / (x + 1)²]
Simplify the equation -
x = (5x² + 25x + 20) / (x + 1)
Here, it can be seen that (5x² + 25x + 20) is the expansion of 5 (x + 4) (x + 1).
Substitute these value into the equation -
x = 5 (x + 4) (x + 1) / (x + 1)
Simplify the equation -
x = 5 (x + 4)
Multiply the numerator and denominator by (x - 1) -
x = 5 (x + 4) (x - 1) / (x - 1)
x = 5x + 20 (x - 1) / (x - 1)
x = 5x² - 5x + 20x - 20 / (x - 1)
x = 5x² + 15x - 20 / (x - 1)
So the unknown expression is 5x² + 15x - 20 / (x - 1).
Verify by substituting -
[(x² + 2x + 1) / (x - 1)] × [(5x² + 15x - 20) / (7x² + 7x)]
Here, it can be seen that (x² + 2x + 1) is the expansion of (x + 1)² and (7x² + 7x) = 7x (x + 1).
Substitute these values into the equation -
[(x + 1)² / (x - 1)] × [5 (x + 4) (x - 1) / 7x (x + 1)]
5 (x + 4) (x + 1) / 7x
Simplify the equation -
5x + 20 (x + 1) / 7x
5x² + 5x + 20x + 20 / 7x
5x² + 25x + 20 / 7x
This expression is equivalent to the original expression.
Therefore, the unknown expressions are (5x² + 15x - 20) and (x - 1).
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Can you draw an object with a diameter of 10 inches and a circumference of 50 inches? Explain.
This question is in savvas
NEED HELP ASAP
PLEASE REFRR TO PHOTO
IS IT LINEAR? EXPLAIN WHY OR WHY NOT
The window has the shape of a kite. How many square meters of glass were used to make the window?
20 15 20 25 are the numbers
The total number of square meters of glass that were used to make the window are:
250 square meters
A kite is a 2-dimensional geometric shape with two pairs of equal-length sides that meet at right angles. It has two diagonals, one longer and one shorter. To find the area of a kite, we use the formula:
Area = (diagonal1 * diagonal2) / 2In this case, the dimensions given are 20 and 25, which we can assume are the lengths of the two diagonals of the kite.
Let's call the shorter diagonal d1 (which is 20) and the longer diagonal d2 (which is 25).
Using the formula, we can find the area of the kite:
Area = (d1 * d2) / 2 = (20 * 25) / 2 = (500) / 2 = 250 square metersSo, the total area of glass used to make the window is 250 square meters.
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Directions: Write SI if the statement refers to simple interest and Cl if it refers to compound interest.
1. It is the product of principal, rate and time.
2. It is useful for investing since it allows the fund to grow at a faster rate.
3. Most of the car loans are calculated based on it.
4. Computation is very easy and easy to understand.
5. Interest is charged on the principal and the interest amount.
6. Principal and interest growth is rapid and increases at a fast pace.
7. The principal keeps on changing due to the addition of accrued interest in the entire period.
8. The principal is constant.
9. It offers a comparatively high return to the lenders,
10. It is the interest which is a percentage of both principal and accrued interest.
1. SI 2. CI 3. SI 4. SI 5. CI 6. SI 7. CI 8. SI 9. CI 10. CI
When interest is calculated, it is done so using both the principal and the interest that has accumulated over the previous period.
The interests of SI and C.I.?Simple interest is calculated based solely on the principal or loan amount, while compound interest is calculated based on both the principal and the interest accrued over a predetermined period of time.When interest is calculated, it is done so using both the principal and the interest that has accumulated over the previous period. Unlike simple interest. Which does not take the principal into account when computing the interest for the following month, compound interest takes the principal into account. Compound interest is commonly represented by the letter C.I. in mathematics.The primary distinction between compound and simple interest is that while simple interest is based on the principal of a deposit or loan.To learn more about interest refer to:
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How do you use index notation?
The dot product of two vectors u and v can be represented using index notation as u_i v_i.
What is Index notation?A mathematical language called index notation is used to describe the components of a vector or tensor. It consists of an element's position in the vector or tensor and a symbol, typically a Latin or Greek letter.
A mathematical language called index notation is used to describe the components of a vector or tensor. The element's position in the vector or tensor is indicated by a symbol (often a Latin or Greek letter) with an integer subscript. How to utilise index notation is as follows:
Vectors can be represented by a single letter with a subscript, such as v i, where I stands for the element's position in the vector.
Tensors are multidimensional arrays that can be described using an index notation for each element. For instance, T i,j can be used to represent the element in a matrix's ith row and jth column.
Executing operations: Index notation can be used to express operations like matrix multiplication and the vector dot product. For instance, u_i v_i can be used to denote the dot product of the two vectors u and v.
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What percent of 1/4 is 2/3? PLSSS HELLPPP QUICKLY!!! TYYTYTY
Answer: 266.666667%
Step-by-step explanation:
I got that after i worked it out
Answer:
Step-by-step explanation:
fritz can build a bookcase in 8 hours and holly can build it in 10 hours. after working together for 3 hours, fritz leaves. how long will it take holly to finish the bookcase by herself?
consider the following. (give your answers to four decimal places. enter your answers as a comma-separated list.) y = x2 − 3x − 7
The x-intercepts are approximately x = 1.305, 5.695. These are the x-coordinates where the parabolic function crosses the x-axis.
What is parabola?
A parabolic function is a type of mathematical function that describes a parabolic curve or parabola. A parabola is a U-shaped curve that is symmetrical about its axis of symmetry.
The equation y = x^2 - 3x - 7 represents a parabolic function with its vertex located at (-3/2, -7). To find the x-coordinates of the x-intercepts (also known as the roots or zeros), we need to solve the equation x^2 - 3x - 7 = 0. This can be done using various methods, such as the quadratic formula or factoring.
Using the quadratic formula, the x-intercepts can be found as follows:
x = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -3, c = -7, and √ represents the square root symbol.
So,
x = (-(-3) ± √((-3)^2 - 4(1)(-7))) / 2(1)
x = (3 ± √(9 + 28)) / 2
x = (3 ± √37) / 2
Hence, the x-intercepts are approximately x = 1.305, 5.695. These are the x-coordinates where the parabolic function crosses the x-axis.
So the answer to the question is:
1.305, 5.695
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Anissa asked a group of students to choose their favorite type of lunch from the choices of pizza, burger, and sandwich. The results of the survey are shown on the graph.
Based on the graph, how many students in a class of 360 students would be expected to choose pizza or sandwich as their favorite type of lunch?
The number of students in a class of 360 students who would be expected to choose pizza or a sandwich as their favorite type of lunch will be 280. Then the correct option is C.
What is the expected value?In parameter estimation, the expected value is an application of the weighted sum. Informally, the expected value is the simple average of a considerable number of individually determined outcomes of a randomly picked variable.
The expected value is given below.
E(x) = np
Where n is the number of samples and p is the probability.
The probability who choose pizza or a sandwich as their favorite type of lunch will be given as,
p = (30 + 40) / (30 + 20 + 40)
p = 70 / 90
p = 7 / 9
Then the expected value is given as,
E(x) = 360 x (7/9)
E(x) = 280
The number of students in a class of 360 students who would be expected to choose pizza or a sandwich as their favorite type of lunch will be 280. Then the correct option is C.
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what is the next number in this sequence of cube numbers...
1,8,27,64......
The next number in this sequence of cube numbers is 125
How to determine the next number in this sequence of cube numbersFrom the question, we have the following parameters that can be used in our computation:
1,8,27,64......
Each term of teh sequence is the cube of its position
So, we have:
Next term = 5^3
Evaluate
Next term = 125
Hence, the next term is 125
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Help me answer this question
In the regular hexagon, there will be only one line axis of symmetry.
What is the axis of symmetry?Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.
The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The regular hexagon is shown.
In the regular hexagon, the upper triangle and the lower triangle are shaded. Then there will be only one line axis of symmetry.
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