At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 100 miles per hourâ (mph) and the standard deviation of the serve speeds was 13 mph. If nothing is known about the shape of theâ distribution, give an interval that will contain the speeds of at least eight-ninths of theâ player's serves.

a. 74 mph to 126 mph
b. 61 mph to 139 mph
c. 48 mph to 152 mph
d. 139 mph to 178 mph

Answer:

Step-by-step explanation:

Linear function representing the distance traveled 'y' in 'x' hours is,

y = 13x

Table for the points lying on the line is,

x               y

1               13

2             26

3             39

4             52

5             65

Since, these points are lying on the graph shown in the picture,

Given graph will be the answer.

Answer:

Slope: -34

Point: (4, -3)

Step-by-step explanation:

This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).

We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

ac - ad - bc + bd

Step-by-step explanation:

There aren't very many steps to show, but I'm assuming that you needed to multiply out the equation. So for this, you would use FOIL which means first, inner, outer, last.

I think of it as multiplying the a with c and d, and then multiplying the b with the c and d. When you do this, you get ac - ad - bc + bd.

The computation of triangle ABC and ACD which are both isosceles shows that the value of x will be 36°.

It should be noted that the sum of angles in a triangle is 180°. In this situation two of the three angles have been given.

Therefore, the value of the third angle will be:

86° + 58° + x = 180°

144° + x = 180°

x = 180° - 144°

x = 36°

In conclusion, x is 36°.

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Answer:

B no wrok needed

Step-by-step explanation:

Answer:

39%

Step-by-step explanation:

[tex]\frac{3471}{8900}[/tex] converted to a percentage = 39%, or 0.39 in decimal form.

The number of people she can serve is 10 people.

She made 10 cups of chocolate mousse for dessert.

Her plan was to serve each person of a cup of chocolate mousse.

This means she will serve one person a cup of the chocolate mousse for dessert.

The number of people she will serve can be calculated with the following proportion.

let

x = number of people she can serve

Recall each person must get one

cross multiply

x = 10

Therefore, the number of people she can serve is 10 people.

learn more on algebra here: https://brainly.com/question/690244

Answer:

p=4a

Step-by-step explanation:

Answer:

0.33333333333

1.75 / 5.25 equals: 0.33333333333

Step-by-step explanation:

The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

We have to given that;

The expression to solve.,

⇒ 1.75 divided by 5.25

Now, We can divide as;

⇒ 1.75 divided by 5.25

⇒ 1.75 / 5.25

⇒ 175/525

⇒ 0.33

Thus, The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

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Answer:

x = 32

Step-by-step explanation:

180 - 110 (y) = 70

so corner b = 70 degrees

360 - 282 = 78 (282 = z)

70 + 78 = 148

180 - 148 = 32

180 because all triangles angles add up to 180 degrees

so therefore x = 32 degrees

Answer:

y=-1.25x+45

Step-by-step explanation:

pick 2 points

(4,40) and (8, 35)

use y-y1=m(x-x1)

m=(35-40)/(8-4)=-1.25

y-40=-1.25(x-4)

y=-1.25x+5+40

y=-1.25x+45

m<ABC=m<A'B'C'

Observe both triangles

<ABC=<A'B'C'

Answer:

supplementary

Step-by-step explanation:

angle adds to 180 degrees

Answer:

N=21

Step-by-step explanation:

20-3+12/6x2=N

20-3+2x2=N

20-3+4=N

21=N

N=21

Answer:

yes,it can ................

Answer:

there would be a difference in mean

Answer: A

Step-by-step explanation:
Your answer is A.

Value of 3.78 x 10=37.8

Value of 5.99 x 102=699.98

value of 7.35 x 10-12=61.5

Value of 9.46 x 10-10=84.6.

Least value to greatest value

3.78 x 10=37.8 Least value

7.35 x 10 - 12=61.5 Sencond least value

9.46 x 10 - 10=84.6  Sencond greatest value

5.99 x 102=699.98  Greatest value

Hope it helps have a great day:)

Answer:

3x times 3x

Step-by-step explanation:

Answer:

Answer: 20 feet further

Step-by-step explanation:

Answer:

horse A will have travel 20 feet farther than horse B

The lines in the graph are pretty close to each other, the answer would be the second choice.

There is no association because distribution of lunch preference is approximately the same.

Answer:

B.2 × 7^5

Step-by-step explanation:

two times seven to the fifth = 2 x 7^5

[tex]2 * 7 ^5[/tex]

[RevyBreeze]

Answer:

n = 36

Step-by-step explanation:

First, isolate the variable. Then, use the opposite operations to manipulate the inequality, whatever you do to one side you must to do the other, solve the right side to find your variable.

n - 22 + 22 < 14 + 22

n = 36

Answer:

Center is [tex](7,-4)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] with center [tex](h,k)[/tex] and radius [tex]r[/tex]. Hence, the center is [tex](h,k)\rightarrow(7,-4)[/tex].

just a quick addition to the great reply above by "goddessboi"

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-7)^2+(y+4)=9\implies [x-\stackrel{h}{7}]^2+[y-(\stackrel{k}{-4})]^2=3^2~\hfill \stackrel{vertex}{(7~~,~~-4)}[/tex]

Answer:

75 feet

Step-by-step explanation:

[tex]\frac{2.5ft}{1in} = \frac{x}{30in} \\[/tex]

By using a proportion we can solve this problem.

By isolating x we get x = 2.5(30) so x = 75.

Thus if the wall is 30 in in the model it is 75 feet in actuality.

Answer:B

Step-by-step explanation:

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy