In circle S with the measure of arc \stackrel{\Large \frown}{RT}= 156^{\circ} RT ⌢ =156 ∘ , find \text{m} \angle RSTm∠RST

Using the binomial distribution, it is found that she should expect it to land on 3 9 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem:

Then, the expected value is given by:

E(X) = np = 36 x 0.25 = 9.

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Answer:

B

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²

= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c

= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square

Answer:

Sorry let me try to understand the question

Step-by-step explanation:

The domain of the function r(x) is (0, 200).

The revenue earned when the price is $30 is $20400.

The rule for the function r(x) is x(800 - 4x).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Demand:

d(x) = 800 - 4x

Price = x

Revenue = Price x demand

Revenue = r(x)

A)

The rule for r(x).

r(x) = x d(x) = x(800 - 4x)

The domain of r(x) is 0 < x < 200 i.e (0, 200).

B)

x = 30

r(x) = 30(800 - 4 x 30)

r(x) = 30(800 - 120) = 30 x 680 = 20400

C)

r(x) = x(800 - 4x)

Thus,

The answers are given above.

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Steps to finding the line in the diagram with the format 'ax + by = c

1. Find the slope

                  [tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-0}{0-3} =-\frac{4}{3}[/tex]

2. Set up, with any one point on the line and the slope, in point-slope form

        [tex](y-y0)=m(x-x0)\\(y-4)=-\frac{4}{3} (x-0)\\y-4 = -\frac{4}{3} x\\\frac{4}{3}x+y = 4[/tex]

Answer: [tex]\frac{4}{3}x+y = 4[/tex]

Hope that helps!

Answer:

[tex]\sf 4x+3y=12[/tex]

Step-by-step explanation:

Choose two points on the line:

Let [tex]\sf (x_1,y_1)=(0,4)[/tex]

Let [tex]\sf (x_2,y_2)=(3,0)[/tex]

Use the slope formula to find the slope of the line:

[tex]\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-4}{3-0}=-\dfrac43[/tex]

Use the point-slope formula to find the equation of the line:

[tex]\sf y-y_1=m(x-x_1)[/tex]

Substitute values into the formula:

[tex]\sf y-4=-\dfrac43(x-0)[/tex]

Expand the brackets:

[tex]\sf y-4=-\dfrac43x[/tex]

Add 4 to both sides:

[tex]\sf y=-\dfrac43x+4[/tex]

Rearrange into the form [tex]ax+by=c[/tex]

Multiply both sides by 3

[tex]\sf 3y=-4x+12[/tex]

Add 4x to both sides:

[tex]\sf 4x+3y=12[/tex]

Answer:

75 ft³ for K12

Answer:

y=4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b where y is the y vale, m is the slope, x is the x value and b is the y-intercept.

We need to find the slope and y-intercept.

To find slope we will do rise/run

If we start from (3,3) and go up 4 and over 1 we get to (4,7)

4 over 1 is also 4

So m=4 or slope is 4

Now lets find the y-intercept

We can plug in our values and solve for b

3=4*3+b

3=12+b

-9=b

y-intercept is -9

so our answer will be y=4x-9

Answer:

  y = 4x -9

Step-by-step explanation:

The equation of this line is requested in slope-intercept form. The y-intercept is off the bottom of the graph, so we much develop the equation from what we can see.

Exact values are best determined from points where the line crosses grid intersections. We observe two of those are (1, -5) and (2, -1). The slope formula can tell us the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-5))/(2 -1) = 4/1 = 4

The formula for the y-intercept can be used with the first point:

  b = y -mx

  b = -5 -4(1) = -9

Then the equation of the line y = mx +b is ...

  y = 4x -9

Answer:

384800 square centimeters (cm²); 3.848 × 107 square millimeters (mm²); 1.48572E-5 square miles (mi²); 46.0217 square yards (yd²)

Step-by-step explanation:

Answer:

B. 6

Step-by-step explanation:

So in order to find this, you need to find the middle of the first quadrant, and the middle of the third quadrant. In this case, we would do, (11+13)÷2. This would equal 12. Next we do (19+17)÷2=18. Now we do 18-12=6

The volume of the cone that was drawn by Mia is equal to 150.816 cubic inches.

Mathematically, the volume of a cone is given by this formula:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

Where:

Given the following data:

Radius of cone = 4 inches.

Height of cone = 9 inches.

Substituting the given parameters into the formula, we have;

Volume = 1/3 × 3.142 × 4² × 9

Volume = 3.142 × 16 × 3

Volume = 150.816 in³

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Answer:

The answer is (3).

Step-by-step explanation:

Ron and Harry have ages that are consecutive odd integers. The product of their ages is 783. So, the ron's age r is 27.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Ron and harry have ages that are consecutive odd integers. The product of their ages is 783.

r is younger

r + 2 = s

product is 783

783 = rs

s = r +2

783 = r(r+2)

So, the quadratic equation form

783 = r^2 + 2r

0 = r^2 + 2r -783

0 = (r -27)(r +29)

set to zero

r-27 = 0

r = 27

and

r + 29 = 0

r = -29

thus, The age of ron is 27 years old.

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Using it's concept, it is found that the domain and range of the function are given by:

D: [–4, ∞) and R: [0, ∞)

In this problem, the function is:

[tex]g(x) = \sqrt{x + 4}[/tex]

The square root function does not exist for negative values, hence the domain is represented by:

[tex]x + 4 \geq 0 \rightarrow x \geq -4[/tex]

The range of the square root function is [tex]x \geq 0[/tex], which remains the same as there are no vertical translations.

Hence the correct option is given by:

D: [–4, ∞) and R: [0, ∞)

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Answer: C) D: [–4, ∞) and R: [0, ∞)

Step-by-step explanation:

Answer:

translation

Step-by-step explanation:

Step-by-step explanation:

don't mind with my hand writting

Answer:

Step-by-step explanation:

[tex]d=2\sqrt{\frac{A}{\pi}} =2\sqrt{\frac{616}{\pi} }[/tex]≈[tex]28.00563cm[/tex]

rounding 28.00563 to 28.

So hence, your answer is 28cm

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Answer:

28

Step-by-step explanation:

area of a circle

[tex]\pi{r}^{2} [/tex]

616=3•142×r×r

616/3•142=r^2

196=r^2

r=√196

r=14

d=2r

d=2×14

d=28

Answer:

17

Step-by-step explanation:

✌

Option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

Olya would like to find a way to reduce her current debt.  The table below shows Olya’s monthly income, expenses and net income.

Olya could spend less on entertainment each month and put the money towards her credit card payment. By this way she can pay the credit card payment faster.

In the second option, she has to skip the montly payment of her school loan which is not possible.

Olya could spend less on food each month and put the money towards her credit card payment. Similar to first option, this way also she  can pay the credit card payment faster.

Hence, the option which does not help Olya to reduce her debt is to skip a month or two paying for her school loan and put the money towards her credit card debt.

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Answer:

answer is B

Step-by-step explanation:

Answer:

That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^

The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A triangle has sides that measure 2 units, 5 units, and 5.39 units.

The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be

[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]

Then the area of the circle will be

[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]

The area of the circle is 12 square units.

More about the circle link is given below.

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Answer:

19%

Step-by-step explanation:

add all them up then figure out what percent of them are dimes you can do this by taking the number of dimes and dividing it by the total number of coin

46/238 = .19

Answer:

Angles 7, 2, and 6

Step-by-step explanation:

       Angle 7 is congruent by corresponding angles to angle 3.

       Angle 2 is congruent by vertical angles to angle 3.

       Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.

Answer:

7,2,6

Step-by-step explanation:

Answer:

The answer is -28C

Step-by-step explanation:

dont forget to smile today:)

Answer: 4:18

Work:

2:9

2 inch:9 feet

2 · 9 = 18

2 · 2 = 4

4 inch:18 feet

Answer:

physical contact needed

Step-by-step explanation:

need to see you

Answer:

can't explain without you arranging your mathematical expression

Answer:

b

Step-by-step explanation:

a/b=c/d

ad=bc

3/x=x/13

3*13=x*x

√39=√x2

6.244997998398=x

Answer:

e= 2/9

p= 3/9

Step-by-step explanation:

p is the answer

The more likely probability is selecting the letter P from the word “PINEAPPLE.”

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

To determine which letter is more likely to be selected, "E" or "P," we need to compare the number of occurrences of each letter in the word "PINEAPPLE."

In the word "PINEAPPLE," there is only one occurrence of the letter "E."

And , there are three occurrences of the letter "P" in the word "PINEAPPLE."

Therefore, the probability of selecting E = 2/9

And , the probability of selecting P = 3/9

Hence , it is more likely to select the letter P than E

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well, he got 1080, that's for 12 TVs each one with a warranty, let's take out the warranty commission, so each one is 20 bucks so for 12 that'd be 12*20 = 240, so 1080 - 240 = 840 is left.

so the fixed income for all 12 TVs is 840 bucks, how much per each one? well, 840 ÷ 12 = 70.

Answer:

build linear model

When modeling scenarios with linear functions and solving problems involving quantities with a constant rate of change, we typically follow the same problem solving strategies that we would use for any type of function.

fitting linear models to data

A professor is attempting to identify trends among final exam scores. His class has a mixture of students, so he wonders if there is any relationship between age and final exam scores. One way for him to analyze the scores is by creating a diagram that relates the age of each student to the exam score received.

distinguish between linear and nonlinear relations

As we saw in the cricket-chirp example, some data exhibit strong linear trends, but other data, like the final exam scores plotted by age, are clearly nonlinear. Most calculators and computer software can also provide us with the correlation coefficient, which is a measure of how closely the line fits the data.

use a linear model to make predictions

Once we determine that a set of data is linear using the correlation coefficient, we can use the regression line to make predictions. As we learned previously, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data.

key concepts

1. Scatter plots show the relationship between two sets of data.

2. Scatter plots may represent linear or non-linear models.

3. The line of best fit may be estimated or calculated using a calculator or statistical software.

4. Interpolation can be used to predict values inside the domain and range of the data, whereas extrapolation can be used to predict values outside the domain and range of the data.

glossary

correlation coefficient

1. a value, r, between –1 and 1 that indicates the degree of linear correlation of variables or how closely a regression line fits a data set.

extrapolation

1. predicting a value outside the domain and range of the data

Step-by-step explanation: