Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach's serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson's serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain's hypotheses are: H o: p = 90% and H a: p < 90%, where p = the true proportion of Coach Elyson's serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test? ​

Answer:

Friend C would be 20 years old

Step-by-step explanation:

Consecutive integers are integers that follow each other

In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:

A + B + C = 57

If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:

A + (A + 1) + (A + 2) = 57

3A + 3 = 57

3A = 54

A = 18

So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.

Answer:

20 years old

Step-by-step explanation:

3x + 3 = 57

3x = 54

x = 18

X + 2 = 18 + 2

Answer = 20 years old

Answer:

C. The mode of the number of miles Ian skated in July is less than the mode of the number of miles Ian skated in August.

Step-by-step explanation:

A. is not correct because the least amount he skated in July was 1 which is not greater than the least amount In August, 5

B. is  not correct because the median number for July was 8 which is not greater than the median of August, 10

C. is correct because 8 is the most common number in July which is less than 10, the most common number in August.

D. is not correct because the range in July is 14 (15-1=14) which is not less than the range in August, 8 (13-5=8)

Answer:

330

Step-by-step explanation:

Because he runs 6 yards in 1 minute so if we multiply 55 x 6 we get 330.

Answer:

330

Step-by-step explain

12/2=6  

55x6=330

Considering the provided information in the given question we have,

We need to find the volume of the gift box. Since it is in the shape of a cube, we wee need to apply the formula of the volume of a cube. We know that,

→ Volume of cube = l × l × l

→ Volume of cube = 4.5 in × 4.5 in × 4.5 in

→ Volume of cube = [tex] \sf 91.125 \: in^3 [/tex]

Therefore, volume of the gift box is [tex] \bf 91.125 \: in^3 [/tex].

Answer:

Step-by-step explanation:sdf

Answer:

24 bows can be made with 4 yards of ribbon

Answer:

G

Step-by-step explanation:

Select G, it does not show ratio of students to teachers is 13:3.

3s=13t means 3 students to 13 teachers

Answer:    -3

-2x-6=0

-2x=6

x=-3

Step-by-step explanation:

Answer:

The new standard deviation will be greater than $26

Step-by-step explanation:

The new bicycle has a price much larger than the price of the others. In fact it is almost double the price of the other bicycles. It causes a large increase as a result. Also, I took the quiz.

Answer:

1) x = 5√3, y = 5

2) x = 16, y = 8

3) x = 10, y = 5

4) m = 9√15/10, n = 9√5/10

5) x = 3√3/2, y = 3/2

6) x = 6√5, y = 3√5

7) x = 5, y = 5

8) x = 5√2, y = 5

9) a = 2, b = √2

10) m = 10√6/3, n = 5√6/3

Explanation:

For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.

For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.

For 45° - 45° - 90° triangles (Isosceles Right),

Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.

This is all computed as a result of the trigonometric functions:

SOH CAH TOA.

This is a shortcut for these specific triangles.

If you do not have the side marked as x, just do the inverse operation to get it.

90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)

Answer:

x=49

<A=90

<E=147

Step-by-step explanation:

Answer:

Step-by-step explanation:

B is the correct answer.

Answer:

B

Step-by-step explanation:

im smart

9514 1404 393

Answer:

  3/10

Step-by-step explanation:

  (3/8)/(1 1/4) = (3/8)/(5/4) = (3/8)/(10/8) = 3/10

Q) (3/8) ÷ (1 1/4) = ?

→ (3/8) ÷ (1 1/4)

→ (3/8) ÷ (5/4)

→ (3/8) ÷ (10/8)

→ (3/8) × (8/10)

→ 3/10 {final answer}

9514 1404 393

Answer:

  13.  (A, b, C) = (30.66°, 91.042, 25.34°)

  14.  insufficient information

Step-by-step explanation:

13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.

  b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59

  b ≈ 91.042

__

  A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°

  C = 180° -124° -30.66° = 25.34°

The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).

__

14. One side and one angle do not define a unique triangle. There is insufficient information to find f.

Answer:

6.4,,,,,,,,,,,,,,****

Answer:x>2

Step-by-step explanation:

4x/4>8/4

Answer:

=5b-3

Step-by-step explanation:

(7b -4) + (-2b+1).

Remove parenthesis;

7b-4+-2b+1

Group like terms;

=7b-2b-4+1

Add similar element

7b-2b=5b

=5b-4+1

Add/subtract the numbers

=5b-3

Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO

HOPE THIS HELPED!!!

Answer:

1800

Step-by-step explanation:

21 rounds to 20

85 rounds to 90

20*90=1800

21*85=1785

1800-1785=15 nail difference

Answer:

The vertical distance is 1.

Explanation:

Coordinates are structured as ( x , y )

The "x" is horizontal and the "y" is vertical, when placed onto a graph.

In the question, 8 is "x" and 1 is "y". Meaning the vertical number is 1.

Answer:

B

Step-by-step explanation:

The sum of the values of Point A and Point B is zero since Maya plotted Point B a distance that is exactly as far from zero as Point A is.

Answer: B) The sum of the values of Point A and Point B is zero.

Step-by-step explanation:

They are equally distant from 0, so they cancel eachother out.

Answer:

20°

Step-by-step explanation:

;b

Answer:

x=40

Step-by-step explanation:

The measure of the angle <RTS is half the difference of the measures of the intercepted arcs (mRS and mQP).

<RTS=(1/2)(mQP-mRS)

(x/2)=(1/2)((x+70)-(x+30))

x=x+70-x-30

x=40

Answer: the probability will be 3 because 8-5=3 and there was 8 trix bars and 5 crunch bars and which means it will be 3

Step-by-step explanation:

Answer:

(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)

Here we have the equation:

[tex]sin^4(x) + cos^4(x)[/tex]

We can rewrite this as:

[tex](sin^2(x))^2 + (cos^2(x))^2[/tex]

Now we can add and subtract cos^2(x)*sin^2(x) to get:

[tex](sin^2(x))^2 + (cos^2(x))^2 + 2*cos^2(x)*sin^2(x) - 2*cos^2(x)*sin^2(x)[/tex]

We can complete squares to get:

[tex](cos^2(x) + sin^2(x))^2 - 2*cos(x)^2*sin(x)^2[/tex]

and we know that:

cos^2(x) + sin^2(x) = 1

then:

[tex]1 - 2*sin(x)^2*cos(x)^2[/tex]

This is the closest expression to what you wrote.

We also know that:

sin(x)*cos(x) = (1/2)*sin(2*x)

If we replace that, we get:

[tex]1 - \frac{sin^2(2*x)}{2}[/tex]

Then the simplification is:

[tex]cos^4(x) + sin^4(x) = 1 - \frac{sin^2(2*x)}{2}[/tex]

Answer:

Hello, this would be a vertical angle graph. Since this graph is a supplementary graph since it stretches about 180 degrees, you would take both 7x and x+20 and set it equal to 180 like this:

7x+x+20=180

Then, you combine the xs and you would get this:

8x+20=180

Then, subtract 20 from both sides like this:

8x=160

Lastly, you would divide 8 by both sides and get x which is:

x=20

Step-by-step explanation:

I hope this helped you!

Answer:

Rate of change = -0.2

Step-by-step explanation:

Given:

(-3, 3.6) and (5, 2)

Required:

Rate of change

Solution:

Formula for rate of change = change in y/change in x = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

(-3, 3.6) = (x_1, y_1)

(5, 2) = (x_2, y_2)

Plug in the values into the equation:

Rate of change = [tex] \frac{2 - 3.6}{5 -(-3)} [/tex]

Rate of change = [tex] \frac{-1.6}{8} [/tex] = -0.2

answer = 560 profited