According to a survey conducted by Deloitte in 2017, 0.4702 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 54 randomly selected U.S. smartphone owners, what is the probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past?
1) 0.0241.
2) 0.1703.
3) 0.8779.
4) 0.0483.
5) 0.1221.

Answers

Answer 1

Answer: 0.628

Step-by-step explanation:

Probability of U.S. smartphone owners have made an effort to limit their phone use in the past : p = 0.4702

Sample size : n= 54

Mean : [tex]\mu =(54)(0.4702)=25.39[/tex]

Standard deviation:

[tex]\sigma=\sqrt{(54)(0.4702)}=\sqrt{25.39}\\\\\approx5.039[/tex]

The probability that between 22 and 29 (inclusively) will have attempted to limit their cell phone use in the past will be :

[tex]P(22\leq x\leq29)=P(21<x<30)=P(\dfrac{21-25.39}{5.039}<\dfrac{X-\mu}{\sigma}<\dfrac{30-25.39}{5.039})\\\\=P(-0.8712<z<0.914864)\ \ \ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=P(z<0.914864)-P(z<-0.8712)\\\\=P(z<0.914864)-(1-P(z<0.8712))\\\\=0.8198685-(1-0.8081775)\ \ \ [\text{ By p-value table}]\\\\=0.628046[/tex]

Hence, the required probability = 0.628


Related Questions

What number is 16% of 46

Answers

Answer: 7.36

Step-by-step explanation:

16/100 = 0.16

0.16 * 46 = 7.36

Which equation below matches the relationship shown in the table?

Answers

Answer:

y = 3x + 0.5

Step-by-step explanation:

What would be the correlation between the ages of husbands and wives if men always married woman who were(a) 3 years younger than themselves?(b) 2 years older than themselves?(c) half as old as themselves?

Answers

Answer:

the correct answer is a

The correlation between the ages of husbands and wives if men always married woman who were :

(a) 3 years younger than themselves

Correlation occurs as two variables or factors are related, and therefore the change in one variable affects another. In the situation presented there are 2 variables:  According to our constitution,  the legal age of men is 21 years and 18 years for women is 18 years.So according to the question the correlation between the ages of husbands and wives if men always married woman who will always be 3 years younger than themselves.

Therefore, the correct answer is a.

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MOVIES Marcus is a member of a theater club. He pays a monthly fee and his movie tickets are then $5 for an unlimited number of movies that month. The graph shows the cost for each month. Find and interpret the rate of change and the initial value. ​

Answers

Take a picture of you graph so I can assist you

what is the percent increase from 3.5 to 3.5

Answers

Answer:

0

Step-by-step explanation:

There is no increase

Answer:

0

Step-by-step explanation:

there is no increase in percent

For a specific location in a particularly rainy city, the time a new thunderstorm begins to produce rain (first drop time) is uniformly distributed throughout the day and independent of this first drop time for the surrounding days. Given that it will rain during some period on both of the next two days, what is the probability that the first drop of rain will be felt between 9:15 AM and 2:50 PM on both days

Answers

Answer:

The required probability = 0.0541

Step-by-step explanation:

From the given information:

The probability that it will rain throughout the day is uniformly distributed & independent of the surrounding days.

Assuming that (P₁)  represents the probability that it will rain between 9:15 am to 2:50 pm on day 1.

The time interval is 5 hours 35 minutes long.

= 5.583333 hours long

Thus;

P₁ = 5.583333/24

P₁ = 0.2326

Assuming that (P₂)  represents the probability that it will rain between 9:15 am to 2:50 pm on day 2.

P₂ = P₁ = 0.2326

Therefore, the total probability = P₂ × P₁  (independent events)

= 0.2326 × 0.2326

= 0.05410276

0.0541

 

(EASY) Which best describes the relationship between the lines?

Answers

Perpendicular. Also if it’s “easy” then maybe try to do it.

Find the measure of angle A.​

Answers

Answer:

60 degrees sorry if its wrong

Step-by-step explanation:

what is the common ratio for the geometric sequence 32,8,2,1/2?

Answers

The answer you will be dividing by is 4. hope this helps

Samira used the calculator to find 254.3 × 2.5. Which statement best describes her work? Samira is correct. Samira is incorrect. The calculator should not give an answer that includes a decimal point. Samira is incorrect. The correct answer should only be about twice as much as 254.3, and the number on the screen is much larger. Samira is incorrect. The answer on the screen is not large enough to be the correct answer.

Answers

Answer:

A samira is correct

Step-by-step explanation:

Because she did her own expression right, now she has to solve

Answer:

the answer is c

Step-by-step explanation:

I used a caculator

what will be the value of d when an airplane flies at 420 miles per hour for three hours?

Answers

Answer:

1260 I think

Step-by-step explanation:

because if the airplane is travelling at 420 mph for THREE hours then 420x3=1260

What's a common denominator for 1/2 and 1/14 SOMEONE PLEASE HELP IM ABOUT TO TAKE A TEST!!!!!!!!!!!

Answers

Answer: common denominator between 2 and 14 is 28 add 14 twice and you’ll get an even number now find out how many times you multiplied by two

Step-by-step explanation:

Answer: a common denominator for 1/2 would be 4 and for 1/14 it would be 28

Step-by-step explanation: to find common denominator you can either multiply or divide, but in this situation since the numerator is one you can only multiply. i chose to multiply them by 2.

1 x 2 = 2 = 2/4

2 x 2 = 4

1 x 2 = 2 = 2/28

14 x 2 = 28

The value of a ratio

Answers

Answer:

Students understand the value of a ratio A: B is A/B. ... If two ratios are equivalent, they have the same value. Grade 6, Module 1, Lesson 8: Classwork. Recall that when given a ratio A: B, where B ≠ 0, we call the quotient, A/B, the value of the ratio.

Step-by-step explanation:

For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

r. Powell just started an experiment. She will collect data for 8 days. How many hours is this?

Answers

Answer:

192 hours

Step-by-step explanation:

24 hours = 1 day

8 x 24 = 192

A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting
parabola is (6, -3). What is the vertex of the function defined as
g(x) = f(-x) - 3?

Answers

Answer: (-6, - 6)

Step-by-step explanation:

Here we have two transformations, and the first step will be to explain those transformations:

Reflection over the y-axis.

For a function f(x), the reflection over the y-axis is written as:

g(x) = f(-x)

Then if we initially had a point (x, y), the transformed point will be (-x, y).

Vertical translation.

We can define a vertical translation of N units as:

g(x) = f(x) + N

if N > 0, the translation is up.

If N < 0, the translation is down.

Then if we start with a point (x, y), the transformed point will be (x, y + N)

In the case of this problem we have g(x) = f(-x) - 3

This means that N = -3

Then if we initially had the vertex at the point (6, - 3)

The transformed point will be: changing the sign of the x-component and subtracting 3 in the y-component, then the transformed vertex point is:

(-6, -3 - 3) = (-6, - 6)

The vertex of the resulting  parabola will be (-6, -6)

Rule of reflection

Given the function y= f(x), plotted on a graph and the vertex of the resulting

parabola is (6, -3), if this coordinate is reflected over the y-axis, the reflection rule will be:

[tex](x,y) \rightarrow (-x, y)[/tex]The coordinate (6, -3) under this translation will give (-6, -3)

To get the corresponding function [tex]g(x) = f(x) - 3\\[/tex]

[tex]g(x) = [(-6, -3) - 3]\\g(x) = (-6, -3-3)\\g(x) =(-6, -6)[/tex]

Hence the vertex of the resulting  parabola will be (-6, -6)

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Pls answer I will mark

Answers

It’s C or 6x-4=8. Just count the sticks as x and the squares as units.

Answer:

c. 6x - 4 = 8

Step-by-step explanation:

Three questions Please HELP!
At which point do the equations y=−2x+10 and y=x+4 intersect?(1 point)

(1,6)

(2,6)

(2,5)

(1,5)

2.If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?



(1 point)

Their intersection point is the only point where different inputs into both functions yield different outputs.

Their intersection point is the only point where the same input into both functions yields different outputs.

Their intersection point is the only point where different inputs into both functions yield the same output.

Their intersection point is the only point where the same input into both functions yields the same output.


3.Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.(1 point)

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move right 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Use the y-intercept to plot the point (5,0). Then, using the y-intercept as a reference point, move left 3 units and up 1 unit, and plot a second point.

Answers

Answer:

2,6

Step-by-step explanation:

Answer:

1. (2,6)

2. C

3. B

Step-by-step explanation:

y = - 2x + 10

y = x + 4

SInce the two equation both equal y, we can said they are equal.

- 2x + 10 = x + 4

      - 10        - 10

- 2x = x - 6

- x     - x

- 3x = - 6

/-3        /-3

x = 2

Then we plug the x value into the equations and we will get the point that intersects y=-2x+10 and y=x+4.

- 2(2) + 10 = 2 + 4

- 4 + 10 = 6

6 = 6

This is true since both sides are equal.

The point that intersects y=-2x+10 and y=x+4 is (2,6).

2. If the two lines y1=−12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?

C) Their intersection point is the only point where different inputs into both functions yield the same output.

Ex: y=-2x+10 and y=x+4 both have the same solution which is (2,6).

3. Given an equation y=−13x+5, explain the steps for using slope-intercept form to graph this equation.

y = - 1/3x + 5

y = - 1/3(0) + 5

y = 5

Point: (0,5)

Slope: - 1/3

Rise over run (y/x) so up 3 and left 1.

B) Use the y-intercept to plot the point (0,5). Then, using the y-intercept as a reference point, move left 1 unit and up 3 units, and plot a second point.

5x+2y=7 as a ordered pair

Answers

(1, 1), 5 + 2 = 7, not that hard!

Step-by-step explanation:

(1, 1), 5 + 2 = 7

What are the measures of jK andKIJ?
Measure of jk =
Measure ofKIJ=
116°
70°

ANWSER
JK=104°
KIJ=52

Answers

Answer:

JK=104°

KIJ=52

Step-by-step explanation:

The measures of the arc JK and angle KIJ of the given inscribed triangle are; Arc JK = 104° and  ∠KIJ = 52°

What is the measure of the angles?

We have been given the arc KI = 116°, so we can find the angle KJI by intercept property.

Angle KJI = arc KI/ 2

Thus;

Angle KJI = 116°/2

Angle KJI = 58°

Now by angle sum property of a triangle, we get:

∠ K + ∠ I + ∠ J = 180°

70° + ∠I + 58° = 180°

∠I = 52°

By using intercept formula, we get arc KJ;

∠JIK = arc JK/ 2

2(∠ JIK) = arc JK

2(52°) = arc JK

arc JK = 104°

Read more about measure of angles at; https://brainly.com/question/14362353

Nadia is a stockbroker. She earns ​a 12% commission each week. Last​ week, She sold ​$7500 worth of stocks. How much did make last week in​ commission? If she averages that same amount each​ week, how much did she make in commission in​ 2011?

Answers

Answer:900

Step-by-step explanation:

What is the length of the line segments with endpoints (-9,5) and (12,5)

A. 12

B. 9

C. 21

D. 10

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Thayne's credit card bill is $766.85. This includes his charges and interest. If the new charges are $559.45 more than the interest, find the amount in charges and the amount in interest.

Answers

Answer: The answer is 207.4 for the interest

Step-by-step explanation:

766.85 - 559.45= 207.4

The answer 207.4 is the amount of interest on Thayne's credit card bill.

How to solve

We can find this answer by subtracting the amount of charges from the total bill amount.

Total bill amount = $766.85

Amount of charges = $1118.9

Amount of interest = $766.85 - $1118.9 = $207.4

Read more about Amount of charges here:

https://brainly.com/question/25922783

#SPJ2

Please help meeeeeee will brainliest

“ Create two whole number division problems that have a quotient of 9 and a remainder of 5. Justify which is greater using decimal division”

Answers

Answer and equation: If we choose two whole numbers; 8 and 10

We want to divide certain numbers by 8 and 10 to get 9 remainder 5.

In this case; 77 divided by 8 is equal to 9 rem 5

and 95 divided by 10 is equal to 9 rem 5

To justify which is greater, we use decimal division;

= 77 divided by 8 we get 9.625 ( 77 ÷ 8 = 9.625)

and

= 95 divided by 10 is equal to 9.5 (95 ÷10 = 9.5)

Therefore; the first case is greater since 9.625 is greater than 9.5

That is; 9 rem 5 got after dividing 77 by 8 is greater than 9 rem 5 got after dividing 95 by 10.

Santa has many toy to deliver on elm street. If there are 48 kids that live on elm street and 12 of them are boys, what is the ratio of girls to boys ?

Answers

Answer:

36 to 12

Step-by-step explanation:

subtract 12 from 48 an you get 36 girls

Miguel ate 1/4 of a pizza in 1/2 of an hour. How much pizza will Miguel eat in one hour?

Answers

Answer:

he will eat 2/4 or 1/2 in 1 hour

Step-by-step explanation:

X+8=13
That’s my question

Answers

x+8 = 13
subtract 8 from both sides
x= 5
hope this helps! please mark brainliest

Answer:

x = 5

Step-by-step explanation:

x + 8 = 13

x = 13 - 8

x = 5

Hope this helps :)

WILL GIVE BRAINLIEST. It is also worth 34 POINTS!!! PLEASE HELP!!!! Please respond in full sentences. I appreciate your help. Thank you!!

Answers

Answer: 1 orange would be 50 cents.

b) the ordered pairs 12,10 means that there are 12 pounds of oranges and they cost $10 dollars

Step-by-step explanation:

WILL GIVE BRAINLEST PLZZZ HELPP MEEEE

Answers

Answer: its C

Step-by-step explanation:

How many degrees of freedom will the error have in a randomized block design with five treatments and three blocks?
a. 2.
b. It will depend on the total sample size.
c.4.
d. 8.

Answers

Answer:

A. 2

Step-by-step explanation:

Degree of freedom is expressed according to the formula as shown;

Degree of freedom = Sample size (Treatments) - number of parameters(Block)

Given

Number of treatments = 5

Number of blocks = 3

Degree of freedom = 5 - 3

Degree of freedom = 2

Hence the error will have 2 degrees of freedom in the randomized block design.

what is v
v−5/6=−7/8

Answers

Answer:

here,

v-5/6=-7/8

v=-7/8+5/6

v= -1/24

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