Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly selected 8- to 18-year-olds in the United States, 71% had a TV in their bedroom. What is the lower boundary of our confidence interval at the 99% level?

a. 6547
b. 6714
c. 6677
d. 6839

Answers

Answer 1

Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The sample size and estimate are given by:

[tex]n = 2002, \pi = 0.71[/tex]

Hence, the lower bound is given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839[/tex]

Hence the lower bound is of 68.39%, which means that option D is correct.

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Related Questions

50 POINTS AND BRAINLIEST! PLEASE HELP!
Solve and show your work for each question.

Note: Remember per the rule of 9s if you have a repeating and non-repeating
component you need to handle them separately.

What is 0.47 expressed as a fraction in simplest form?

What is 0.47_ expressed as a fraction in simplest form?

What is 0.47__expressed as a fraction in simplest form?

3 parts to this question! answer all honestly and show ur work!

Answers

The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.

How to convert a decimal to a fraction?

Multiply by 100/100 and keep in the form without division.

A. (0.47)

0.47 x 100/100

= 47/100

B. (-0.47)

= -0.47 x 100/100

= -47/100

C. (0.--47)

A minus sign multiplied by another minus sign makes a positive sign

= 0.--47 ⇒ 0.47

= 47/100

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At the state fair,
a person must be at least 138 centimeters tall
to ride the roller coaster. Billy wants to ride
the coaster. He is 4 feet 7 inches tall. Is Billy tall
enough to ride the coaster? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Billy is 4'7

138 centimeters in feet is 4'5

sp billy is 2 inches over the requirment.

Please help! Will mark brainlyest.

Answers

Point A is located at (-2, -6), so since it mentions you must translate 4 units up, you know that the y coordinate will move 4 units up. Hence, -6 + 4 = -2, so the final coordinates of the question is (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

Y-axes gose up and down

x-axes gose side to side

(x,y) is how its written. So -6 +4= -2

brainlyest and five stars, please :)

Solve for the vaule of x:-
[tex]2x+3 = 5[/tex]

Answers

Answer:

The value of x = 1

Step-by-step explanation:

2x+3 = 5

=> 2x = 5-3

=> 2x = 2

=> x = 2/2

=> x = 1

Answer:

x = 1

Step-by-step explanation:

In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .

Solution : -

[tex] \longmapsto \qquad \: 2x + 3 = 5[/tex]

Step 1 : Subtracting with 3 on both sides :

[tex] \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3[/tex]

On further calculations, We get :

[tex] \longrightarrow \qquad \:2x = 2[/tex]

Step 2 : Dividing with 2 on both sides :

[tex] \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }[/tex]

On calculating further, We get :

[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar[/tex]

Henceforth , value of x is 1 .

Verifying : -

Now we are checking our answer by substituting value of x in the given equation . So ,

2x + 3 = 5

2 ( 1 ) + 3 = 5

2 + 3 = 5

5 = 5

L.H.S = R.H.S

Hence , Verified .

Therefore , our answer is correct .

#Keep Learning

A high school has 35 students who play only stringed instruments,
10 students who play only brass instruments, 5 students who play
both, and 5 students who don't play either. What is the probability
that a randomly selected student at this high school plays a stringed
instrument or a brass instrument?

Answers

Answer:

[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Note : the total number of students is 55

___________________________

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

p(A) = 40/55

p(B) = 15/55

[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]

Therefore,

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

               [tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]

               [tex]=\frac{50}{55}[/tex]

               [tex]=\frac{10}{11}[/tex]

Given g(x)=4x-2/5 find the inverse

Answers

Answer:

g^-1(x)=1/4x+1/10

Step-by-step explanation:

y=4x-2/5

x=4y-2/5

4y-2/5=x

20y-2=5x

20y=5x+2

y=1/4x+1/10

g^-1(x)=1/4x+1/10

What is the cost of each filter if eight filters cost $39.922?

Please help!

Answers

Answer:

Your answer is exactly 100% $4.99!

Step-by-step explanation:

Answer:

$4.99 is your answer.

Step-by-step explanation:

                     Have a great morning, afternoon or night!

                                                   ~Dreamer1331~

*Please mark BRAINLIEST if correct and you feel I deserve it, thank you!*

helpppppppppppppppppppppppp

Answers

Answer:

[tex]360\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the bottom rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 12\ cm[/tex]

[tex]A = 120\ cm^2[/tex]

Step 2:  Determine the area of the back rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 5\ cm[/tex]

[tex]A = 50\ cm^2[/tex]

Step 3:  Determine the area of the top rectangle

[tex]A = l * w[/tex]

[tex]A = 10\ cm * 13\ cm[/tex]

[tex]A = 130\ cm^2[/tex]

Step 4:  Determine the area of the triangle

[tex]A = \frac{h*b}{2}[/tex]

[tex]A = \frac{5\ cm * 12\ cm}{2}[/tex]

[tex]A = \frac{60\ cm^2}{2}[/tex]

[tex]A = 30\ cm^2[/tex]

Step 5:  Determine the surface area

[tex]120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)[/tex]

[tex]360\ cm^2[/tex]

Answer: [tex]360\ cm^2[/tex]

What is the measure of angle B in the triangle?

This triangle is not drawn to scale.

Enter your answer in the box.

m∠B=
°

Answers

Answer:

Step-by-step explanation:

(2x-30) + 40 + (x+20)=180

=3x+30=180

=3x=150

=x=50

B=70

Find the area of a sector of a circle with radius 6 centimeters and central angle 4pi/3 radians.​

Answers

The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

What is a circle?

It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).

We have the radius of the circle r = 6 centimeters

Central angle = 4π/3 = 240°

We know the area of the sector :

[tex]\rm =\dfrac{\theta}{360\°}\pi r^2[/tex]

[tex]\rm =\dfrac{240\°}{360\°}\pi (6)^2[/tex]

= 0.667×3.1415×36

= 75.43 square centimeters

Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.​

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Can someone help me please?

Answers

Answer:

its too small to see

Step-by-step explanation:

Pls help! This is due soon! Would appreciate it! :))

Answers

Answer:

Step-by-step explanation:

Solve for the area of the complex figure below. Show your work and explain the steps you used to solve.
Round your answer to the nearest whole number.

Answers

There is a square and a half circle.

To find the radius of the circle: 18in - 12in = 6in
Area of a circle = (pi)r^2 = 3.14 (6in)^2 = 3.14 (36in^2) = 113.04in^2
This is an half circle, so we have to divide by 2 the result
56.52in^2 in what we’re looking for.

Area of the square = (12in)^2 = 144in^2

Total area = (144 + 56.52)in^2 = 200.52in^2
Or 201in^2 to the nearest whole number.

What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)

Answers

Answer:

Q’(–5, –3)

Step-by-step explanation:

This is because the pints of q are this.

Which fraction is closest to 1 1/2?

Answers

Answer:

4/2

Step-by-step explanation:

Find number closest to 1.5

[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]

4/2 is closest to 1.5

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100 Brainliest up for grabs to person who can answer all of these with no links:


Dave has a lawn mowing business. Based on daily sales figures for the past two summers, he has developed the following probability distribution for X = number of lawns mowed on a randomly selected day.


A) What is the probability that he will mow exactly 2 lawns on a randomly selected day?

B) What is the probability that he will mow at least 1 lawn on a randomly selected day?

C) What is the expected value (mean) of lawns mowed on a randomly selected day?

Answers

Using a discrete probability distribution, it is found that:

a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

c) The expected value is of 1.3 lawns mowed on a randomly selected day.

What is the discrete probability distribution?

Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:

P(X = 0) = 0.2.P(X = 1) = 0.4.P(X = 2) = 0.3.P(X = 3) = 0.1.

Item a:

P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.

Item b:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]

There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.

Item c:

The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:

E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.

The expected value is of 1.3 lawns mowed on a randomly selected day.

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2. MGSE7.G.5: What is the value of x?
A. 74°
B. 148°
C. 37°
74€
D. 106°

Answers


The answer is C. 37degrees

help me with this please..!

Answers

Answer:

[tex]y \geq -4[/tex]

Step-by-step explanation:

This is because the lowest the y-coordinate goes to is -4.

difference of -150 and 325​

Answers

Step-by-step explanation:

[tex] - 150 - 325 = - 340[/tex]

write a polynomial function with 3,-2,-5

Answers

Answer:

3x³ - 2x² + x - 5

Hope this helps!

A rectangular prism is pictured below. What is the volume of the rectangular prism?

16 ½ 4 cm 9¼

A. 89 ¼cm³
B. 203 ½cm³
C. 576 ⅛ cm³
D. 610 ½cm³ ​

Answers

Answer:

D: 610 ½cm³

Step-by-step explanation:

16 ½= 16.5

9 ¼= 9.25

V= L x W x H

V=16.5 x 4 x 9.25

16.5x4=66

66x9.25=610.5cm³

610.5cm³ = 610 ½cm³

there is your answer

THAT IS THE CORRECT ANSWER....

A QUESTION

ARE U HIGH SCHOOL?

Can someone help me with this please.

Answers

Answer:  A. Register

Step-by-step explanation:

Each time you write a check or deposit money in your account, its recorded  in your check register.

In 60 seconds, Darrell walks 90 meters.

Select the two answers that describe the unit rate at which he walks.

1.5 seconds per meter


1.5 meters per second


90 meters per second


112 meters every second


30 meters every second


30 seconds per meter

Answers

B, 1.5 METERS per SECOND
The answer is B 1.5 Meters per second

i will give brainliest image below

Answers

Answer:

55°

Step-by-step explanation:

50+75=125. 180-125=55

55+90=145. 180-145=35

90-35=55

Angle ABC (B) is 55°

Method I used:

All lines need to add to 180° so I found the 3rd angle for C. Then I drew an imaginary line perpendicular to lines n and m that intersects line m at point B. The angles of that triangle need to add to 180° so I added 90° (right angle) with the 3rd angle of C (55°) then subtracted that value from 180 to get angle B. Then i found ABC (B).

The answer is 55 degrees

What numbers multiply to get 72 and add to get 12?

Answers

Answer:

9,8,3

Step-by-step explanation:

9×8=72

9+3=12

as you can see the common number is 9 here

hello, can anyone help me, please?

Find the circumference and area of the circle. Each unit on the graph measures 1 centimeter. Round to the nearest tenth, if necessary.

Answers

The circumference of the circle, to the nearest tenth, is: 47.1 cm

The area of the circle, to the nearest tenth, is: 176.7 cm²

What is the Area and Circumference of a Circle?Circumference = 2πrArea = πr², where r is the radius of the circle.

Since each unit = 1 cm on the graph, radius = 7 1/2 = 7.5 cm.

Circumference = 2πr = 2π(7.5)

Circumference = 47.1 cm

Area = πr² = π(7.5²) = 176.7 cm²

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Will mark brainlyest!

Answers

Answer = 4cm^2

8/4=2 2X2=4cm^2

Answer: the answer is D which is 4cm2

Your friend shows you a coin collection. In​ it, 38/50 of the coins are quarters. What percent of the coins are​ quarters?

Answers

Answer: 76%

Step-by-step explanation: 38/50 × 100/1

What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3

Answers

Answer:

6,000 units3

Step-by-step explanation:

got it rt

Solve for x
x= ?
3x-4 3x-8

Answers

Answer:

x = 32

Step-by-step explanation:

=> (3x-4) + (3x-8) = 180° (Linear pair)

=> 6x - 12 = 180

=> 6x = 192

=> x = 192/6

Therefore x = 32

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