The histogram shows the number of laps completed by swimmers on a team during practice.
A. which interval contains the most values?
B. How many swimmers are on the team?
C. What percent of the swimmers swam more than 14 laps? Round o the nearest tenth of a percent.
Explain.

Answer:

The number generator is not fair. In most of the experiments, considerably less than 40% of the selected are green

Step-by-step explanation:

Given

[tex]Pr(Green) = 40\%[/tex]

See attachment for plots

Required

Is the number generator fair or not

From the number line, we have the following outcomes:

[tex]0 \to 1[/tex]

[tex]1 \to 1[/tex]

[tex]2 \to 7[/tex]

[tex]3 \to 2[/tex]

[tex]8 \to 1[/tex]

Divide each outcome by 12, to get the proportion of green in each trial

[tex]0 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]1 \to 1[/tex] [tex]\to 8.33\%[/tex]

[tex]2 \to 7[/tex] [tex]\to 58.33\%[/tex]

[tex]3 \to 2[/tex] [tex]\to 16.33\%[/tex]

[tex]8 \to 1[/tex] [tex]\to 8.33\%[/tex]

The above shows that the proportion of green in most of the trial is less than 40%

Hence, the number generator is not fair.

Answer:

D

Step-by-step explanation:

Answer:

4(4+9)

(if you are able to use 4 twice)

Answer:

Step-by-step explanation:

Note: It is not mention what to find so than i am finding the value of x.

Given data:

3/4 : 1/2:: 27x: 14

Now,

[tex]x=\frac{1/2*27}{3/4*14} \\x=4.5[/tex]

Answer:

its (0,-1) ...................................

Answer:

the answer to your first question is 235 degrees or B

the answer to your second question is 83 degrees

Step-by-step explanation:

for the first question simply add all of the angles

for the second question a straight line/angle is 180 degrees so simply subtract 97 from 180 to get 83 degrees

Answer:

the surface area is 263.76 feet²

hope this helps

have a nice day

Answer:

x= 80

Step-by-step explanation:

Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)

50 = 1/2 ( 20+x)

Multiply each side by 2

2*50 = 20+x

100 =20+x

Subtract 20 from each side

80 =x

2ax-6ay+bx-3by

2ax+bx -6ay-3by

x(2a+b) -3y(2a+b)

(2a+b) (x-3y)

Answer:

Step-by-step explanation:

2ax -6ay +bx -3by

take common from first two terms and take common from third and fourth term

=2a(x-3y)+b(x-3y)

take common (x-3y) is common

=(x-3y)(2a*1+b*1)

=(x-3y)(2a+b)

Answer:

Step-by-step explanation:

edge 2021

Answer:

a. 70 gallons of water were leaked each month.

Step-by-step explanation:

Set up an equation:

Variable x = gallons leaked each month

210/3 = x/1

Cross multiply:

210 × 1 = 3 × x

210 = 3x

Divide by 3 to isolate the variable:

70 = x

The division part is only 210 ÷ 3 = x. I wrote it down this way so you can see how I came to this equation.

Check your work:

210/3 = 70/1

210 × 1 = 3 × 70

210 = 210

Correct!

Answer:

Step-by-step explanation:

f(n)= -3n + 2

to find :f(12)

substitute 12 in place of n

f(12)= -3*12 + 2

f(12)=-36 + 2

f(12)= -34

The value of the  f(12) is equal to -46 where the expression is

f(n) = -3n + 2.

Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.

Here, f(n)= -3n + 2 is the given expression.

So, we can find the value of f(12) by putting n=12 in f(n).

Put n=12 in f(n), we get

          f(12)= (-3)×12 + 2

                 = -48 + 2

                 = -46

Hence, the value of f(12) is -46.

To learn more about expressions click here:

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Answer:

A

Step-by-step explanation:

The distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

Fist of all, we would assign variables to the distance between these astronomical objects as follows:

Since the triangle is right-angled, we would use the sine trigonometry to determine the value of the distance between the Sun and the Shooting Star:

Sinθ = Opp/Hyp

Sinθ = EM/y

EM = y × Sinθ

Therefore, the distance between the Shooting Star and planet Earth is equal to the distance between the Sun and the Shooting Star multiplied by the sine of angle x.

Read more on right triangle here: https://brainly.com/question/12955901

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Answer:

owner withdrawal

1.225000

2.3300

Answer:

1757.50

Step-by-step explanation:

First determine the amount of the discount

1850 * 5%

1850 * .05

92.50

Subtract this from the price

1850-92.50

1757.50

Answer:

$1757.5

Step-by-step explanation:

The way I like to do problems like this is by taking the  % and putting it into this formula 100- x =

Then move it down to 2 decimal places and multiply it by the original cost. Then you have your answer.

Answer:

[tex]56.3[/tex]

Step-by-step explanation:

The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is equal to the ratio of all other angles and their respective opposite sides).

Thus, we have:

[tex]\frac{\sin 28^{\circ}}{27}=\frac{\sin 102^{\circ}}{c},\\c=\frac{27\sin 102^{\circ}}{\sin 28^{\circ}}=56.2547070223\approx \boxed{56.3}[/tex]

Answer: 130

Step-by-step explanation:

The five rounds up making it 130

Answer:

16/20=1/4

Step-by-step explanation:

James is 1/4 younger then his brother

4:5 is the ratio which  represents James' age to his brother's age 4 years from now.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that James is 12 years old

James  brother is 16 years old.

We need to find the ratio which represents James' age to his brother's age 4 years from now.

After 4 years the James age is 12+4, 16 years

After 4 years the James brother age is 16+4, 20years

The ratio of James' age to his brother's age is 16/20

4/5

Hence, 4:5 is the ratio which  represents James' age to his brother's age 4 years from now

To learn more on Ratios click:

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Answer:

554400

Step-by-step explanation:

To answer this question, we use combination as we are just interested in selection rather Than arrangement.

Beyonce songs ; 3 from 8 = 8C3

Justin ; 4 from 12 = 12C4

Drake ; 2 from 5 = 5C2

Version of happy birthday = 1 from 2 = 2C1

Recall :

nCr = n! ÷ (n-r)!r!

However, the answers can also be obtained using a calculator :

8C3 * 12C4 * 5C2 * 2C1 = 554400 different mix

Answer:

A. 0.4 , -6

Step-by-step explanation:

equate each of them to 0

5x - 2 =0 , x + 6 = 0

5x = 2 , x = 0 - 6

x = 2/5 , x = -6

x = 0.4 , x = -6

Answer: x=-10, y=-5 or -2/1. And it's dilated by 2. & i believe the scale factor is 2.

Step-by-step explanation:

What i did was simply count from the radius (the tiny dot in the center) up, and   i counted 3, and did the same w/ the A' so I got 6, why makes me assume the scale factor is 2. then i did rise/run and i went  10 left and 5 down. So that makes -10,-5.

Answer:

6 is the coefficient

Step-by-step explanation:

brainliest?

Answer:

C=20° a=10.8 c= 4.3

Step-by-step explanation:

first we need to find the value of angle C by subtracting the sum of angle A and B from 180°.

to find c and a we need to use sin rule which states that sinB/b=sinA/a=sinC/c respectively

Answer:

[tex]x=\frac{-7+-\sqrt{37} }{6}[/tex]

Step-by-step explanation:

This (±) goes between the [tex]-7[/tex] and [tex]\sqrt{37}[/tex]

[tex]3x^{2} +7x+1=0[/tex]

[tex]ax^{2} +bx+c[/tex]

[tex]-b[/tex] ± [tex]\sqrt{b^2-4ac}[/tex]/2a

[tex]-7[/tex] ± [tex]\sqrt{(7)^2-4(3)(1)}[/tex]/2(3)

[tex]-7[/tex] ± [tex]\sqrt{49-12}[/tex]/6

[tex]-7[/tex] ± [tex]\sqrt{37}/6[/tex]

Answer:

35x

Step-by-step explanation:

Start with parentheses, 2 x 1/2 = 1

9 x 4 = 36

36 - 1 = 35

Answer:

A

Step-by-step explanation:

just A

successive y values are 5 TIMES the previous y value

In all the others the y value is an ADDITION of the same amount to the previous y value

Answer:

Option 3

Step-by-step explanation:

Brainliest please~

Answer:

C

Step-by-step explanation:

The verticle line on the left is the minimum and is 4 for both