The graph shows the distribution of the amount of time (in minutes) people spend watching TV shows on a popular streaming service. The distribution is approximately Normal, with a mean of 71 minutes and a standard deviation of 15 minutes.
A graph titled Streaming T V has time (minutes) on the x-axis, going from 11 to 131 in increments of 15. The highest point of the curve is at 71.
What percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service?
a- 13.5%
b- 34%
c- 47.5%
d- 95%
answer:a 13.5

Answers

Answer 1

Using the normal distribution, it is found that the percentage of people spend between 41 and 56 minutes watching TV shows on this streaming service is:

a) 13.5%

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 71, hence [tex]\mu = 71[/tex]The standard deviation is of 15, hence [tex]\sigma = 15[/tex]

The proportion between 41 and 56 minutes is the p-value of Z when X = 56 subtracted by the p-value of Z when X = 41, hence:

X = 56:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{56 - 71}{15}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.16

X = 41:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{41 - 71}{15}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.025

0.16 - 0.025 = 0.135

0.135 x 100% = 13.5%

Hence option a is correct.

A similar problem is given at https://brainly.com/question/25769446


Related Questions

How can I divide 7.86 divide by 0.2

Answers

Answer:

39.3

Step-by-step explanation:

pa brainliest

7.86/0.2
= 393/10
= 39.3

=
Given f(x) = 3x2 + 5x + k, and the remainder when f(x) is divided by
x + 3 is 29, then what is the value of k?

Answers

Answer:

the answer is k=2

Step-by-step explanation:

what is the slope of the line of (8,10) (-7,14)​

Answers

The answer is : -4/15

Answer:

-4/15

Step-by-step explanation:

slope is simply the rise over the run which is the change in y over the change in x.

( (y_2) - (y_1) ) / ( (x_2) - (x_1) )

if you plug in your variables that gives you

(14-10) / (-7-8)

which equals

4/-15

- (4/15)

cuanto es 3/5 menos 1/2

Answers

Answer:

1/10

Step-by-step explanation:

(3/5) - (1/2)

3/5 = 3*2/ 5*2 = 6/10

1/2 = 1*5/ 2*5 = 5/10

(6/10) - (5/10)

= (6-5) / 10

= 1/10

the answer to your question is 1/10

write 2^ 100 as a power with the following base of 16 brianly.
Pls answer quickly

Answers

Answer:

  16^25

Step-by-step explanation:

The applicable relation is ...

  (a^b)^c = a^(bc)

  2^100 = 16^x = (2^4)^x = 2^(4x)

Equating exponents, we have ...

  100 = 4x

  25 = x

Then 2^100 = 16^25.

I need help on this please help

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] = [tex]\sqrt[3]{4*4*4}[/tex]=4

The answer is 4 because if you multiply 4 three time you will get 64

Step by step
4x4=16
16x4=64

3x + 5.5 < 20.5
please help

Answers

Answer:

x < 5

Step-by-step explanation:

[Given] 3x + 5.5 < 20.5

[Subtract 5.5 from both sides] 3x < 15

[Divide both sides by 3] x < 5

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Help I offer all of my points

Answers

Answer:

100 bags

Step-by-step explanation:

You're going to want to multiply each amount of pounds the bags are by two. So 30 × 2 is 60. 15 × 2 = 30. 5 × 2 = 10.

60 + 30 = 90

90 + 10 = 100                            (BRAINLIEST PLEASE OvO)

During a hurricane in Central Florida, the amount of rainfall R, in centimeters, is a function of time. Let R = f(t) define the amount of rain recorded by meteorologists beginning at midnight. Give an interpretation of the statements below, using the appropriate units.

A. (6) = 4.8

B. f'(6)=0.5

C. f(-1)(5) = 14

D. f(-1)'(5) = 1.5

Answers

The amount of rainfall is an illustration of inverse functions, and rates.

The function is given as: R = f(t)

(a) Interpret f(6) = 4.8

This means that:

The amount of rainfall at 6 seconds is 4.8 cm

(b) Interpret f'(6) = 0.5

f'(6) represents the rate of the function

So, this means that:

The rate at which rain falls at 6 seconds is 0.5 cm per second

(c) Interpret f^-1(5) = 14

f^-1(6) represents the inverse function

So, this means that:

The time at which 5 cm of rain falls, is 14 seconds

(d) Interpret f^-1'(5) = 1.5

f^-1'(5) represents the rate of the inverse function

So, this means that:

The rate of time when 5 cm of rain falls is 1.5 seconds per cm

Read more about functions, inverse and rates at:

https://brainly.com/question/15634149

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2?

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I think the answer might be 6 but I’m not really 100% sure

PLEASE HELP!!!!!!!! PLEASE DON’T SEND LINK(S). LOOK AT THE PICTURE HAS ALL THE INFORMATION.

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Answer:

5

Step-by-step explanation:

50÷5=10-5=5

wished it helped.

In one week, a computer shop sold 13 laptop computers and
7 desktop computers. What was the ratio of laptop computers to all
computers that were sold in the week? Describe the ratio using words.

Answers

Answer:

13:7

Step-by-step explanation:

This ratio would be 13 laptop computers for every 7 desktop computers; 13:7


A car travels a distance of 7575 meters in a time of 25 hours. What is the car's speed?

Answers

Answer:

303 miles per hour

Step-by-step explanation:

its a joke but how come hotdog buns are pact in 8 and hotdog meat is pact in 10

Answers

Answer:

every 5 bun packs : 4 hotdog meat pack

5:4

Step-by-step explanation:

Need help! attachment below. will give brainlist

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Answer:

In the graph locate the point (3,0) and draw a line parrallel to Y-axis passing through (3,0) .

Then your line will cut the graph of f(x) at some point, that point's y-coordinate will be your value of f(3).

Step-by-step explanation:

Hope it helps!

how do i do this?
y=- 1/2x + 3

Answers

Answer: y-intercept would be (0,-1/3)

Step-by-step explanation:

I might be wrong

Write the equation of the line graphed below in slope-intercept form.

a. y = 3x +12

b. y = 12x + 3


c. y = 2x + 3


d. y=12x

Answers

Answer:

C

Step-by-step explanation:

c. y = 2x + 3

first you need to find the y-intercept which is 3

and then the slope rise/run which is 2 so y = 2x + 3

math
solve this pls lol

Answers

Answer:

The two triangles are related by congruent angles/similarity, so the triangles are similar.

Have an awesome day! :D

1. Reducing the original price of an item is often called
discounting
selling
bartering
originating

Answers

reducing the original price of an item is called discounting
Yuhh the answer is discounting

I need right answer only please no link no bot

Answers

Answer:

[tex]972 \pi \: {in}^{3} [/tex]

Step-by-step explanation:

volume of container

[tex] = \: \frac{4\pi {r}^{3} }{3} [/tex]

QUICKEST 100 POINTS EVER!

Answers

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² = (5x² + 3x + 2)(5x² + 3x + 2) = 5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 = 25x⁴ + 30x³ + 29x² + 12x + 4

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

Complete the Statement

Answers

triangle JKL is congruent to triangle TRS

At a birthday party, 20% of the guests wear glasses.

If there are 30 guests, how many wear glasses?

Answers

Answer: 6
20x30=600
600/100=6
6 guests were wearing glasses

Answer:

if 100% =30 guests what about 20%=6%


How would the numbers -40, 0, and 40 appear on a horizontal number line?

A. 0 on the left end, -40 in the middle, and 40 on the right end

B. 0 on the left end, and both 40 and -40 on the right end

C. 40 on the left end, 0 in the middle, and -40 on the right end

D. -40 on the left end, 0 in the
middle, and 40 on the right end
SUBMIT

Answers

Check the picture below.

20 EASY POINTS PLUS BRAINLIEST IF YOU ANSWER THIS QUESTION

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Mark me as Brainliest Please

7x when x=3
Please help

Answers

Answer:

21

Step-by-step explanation:

7x, x=3. Plug x in as 3. 7x3=21.

It would be 21 because when two numbers are next to each other it means multiplication when 7x is given and x is 3 it would be 7 x 3 = 21

what is 10 2/1 divided by 2 1/4

Answers

Answer:

5.3 but the three is repeated

Step-by-step explanation:

Answer:

[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]

Penjelasan

[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]

[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]

[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]

Then the answer is 48/9

------------------------------------------

[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]

Multiply or divide. write fractions in simplest form.

2/3 * (-2 1/4) * (-1 1/2)

i really need help with this problem! i will mark you brainliest :)

Answers

Step-by-step explanation:

Okay so, let's turn these into decimals first (rounded to nearest 2 thousandths).

2/3 = 0.66666 (repeating), to the nearest 2 thousandths would be 0.66.

-2 1/4 = -9/4 = -2.25

-1 1/2 = -3/2 = -1.5

then we set up the problem

0.66 × -2.25 × -1.5 = 2.2275 rounded 2.22 as an improper fraction 111/50 and that cannot be simplified any smaller.

julieta drew the triangle that is shown below. julieta rotated the triangle 180 degrees clockwise about the origin. what is the new triangle?​

Answers

Step-by-step explanation:

The coordinates of the rotated triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ABC

Now , the coordinates of the triangle ABC is

The coordinate of A = A ( 1 , 1 )

The coordinate of B = B ( 3 , 2 )

The coordinate of C = C ( 2 , -2 )

Now , on rotating the triangle ABC by 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

Substituting the values in the equation , we get

The rotated triangle will have the coordinates A'B'C'

The coordinate of A' = A' ( -1 , -1 )

The coordinate of B' = B' ( -3 , -2 )

The coordinate of C' = C' ( -2 , 2 )

Hence , the coordinates of the triangle is A' ( -1, -1 ) , B' ( -3 , -2 ) , C' ( -2 , 2 )

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ2

7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets

Answers

Answer:

0.75 is what they each get.

Step-by-step explanation:

You need to divide 3 by 4.

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