Social scientists discovered that 1,013 General Social Survey (GSS) respondents in 2010 watched television for an average of 3.01 hours per day, with a standard deviation of 2.65 hours per day. Answer the following questions, assuming the distribution of the number of television hours is normal.

Required:
a. What is the Z score for a person who watches more than 8 hr/day?
b. What proportion of people watch television less than 5 hr/day? How many does this correspond to in the sample?
c. What number of television hours per day corresponds to a Z score of +1?
d. What is the percentage of people who watch between 1 and 6 hr television per day?

Answers

Answer 1

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]


Related Questions

HELP EDCITEE !! PLEASE !!!

Answers

Answer:

75.3074525 dgrees

Step-by-step explanation:

law of sines

29/sin(115 degrees) = 13/sin(B)

==> B = 0.418374736 rad

or 75.3074525 dgrees

11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т

Answers

Answer:

D is the answer

Step-by-step explanation:

find two numbers whose ratios is 3 to 5 and whose sum is 88​

Answers

Answer:

33 and 55

Step-by-step explanation:

[tex]\frac{x}{y}: \frac{3}{5}[/tex]

x + y = 88

3 + 5 = 8

[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]

[tex]x= \frac{3}{5}y[/tex]

[tex]y+\frac{3}{5}y=88[/tex]

[tex]\frac{8y}{5}=88[/tex]

[tex]5(\frac{8y}{5})=5(88)[/tex]

8y = 440

8y ÷ 8 = 440 ÷ 8

y = 55

x + y = 88

x + 55 = 88

x + 55 - 55 = 88 - 55

x = 33

What is the horizontal distance between (−5/3, -2) and (4, -2)?


ANSWER QUICK GIVING BRAIN LEST

Answers

Answer:

-2?

Step-by-step explanation:

use y2-y1 over x2-x1 to find the answer. So you would do -2--5/3 over 4--2. The two negitives turn into a positive. SO it is now -2+5/3 over 4+2. -2+5/3= -1/3 over 4+2=6 it is now -1/3/6 which equals -2. So I think the answer is -2. I do not know if you should trust me on this but I tried.

ratios that are equivalent to 7/6

Answers

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Answer:

14 : 12 , 21 : 18 and 28 : 24 .

Step-by-step explanation:

Therefore, 14 : 12 , 21 : 18 and 28 : 24

Find an expression which represents the difference when (-4x – 3y) is subtracted
from (-2x – 10y) in simplest terms.

Answers

-4x-3y+2x+10y
you can add like terms here

Answer: (-2x-10y)-(-4x-3y)

-2x-10y-(-4x-3y)

-2x-10y+4x+3y

-2x+4x-10y+3y

-2x+4x-10y+3

Answer =2x-7y

Step-by-step explanation:

Shine has some money in his account.Every Month, he used the same amount of money from his account to pay for his music classes. The table below shows the amount of money left in his account after a certain amount of time, in months:

Option 4) -$45 per month; the amount of money withdrawn per month

Answers

Answer:

Option 4) -$45 per month; the amount of money withdrawn per month.

Step-by-step explanation:

The rate of change is 45. Before he began taking money out to pay for his classes[month 0], he had $190. Since then, every month, $45 have been withdrawn.

Giving out brainliestttt answer !!! help me out?!!!

Answers

Answer:

F= 60.256

D = 29.744

Step-by-step explanation:

This is a completely different from the way usually I do it

B = arcsin(b·sin(A)a)

= 1.05166 rad = 60.256°

180-60.256-90 = 29.744°

Which statement is true about the graphed function?
O Fx) < 0 over the interval (-0, 4)
OFx) < 0 over the interval (-0, -3)
O F(x) > 0 over the interval (-00, -3)
O F(x) > 0 over the interval (-0, 4)

Answers

Answer:

D is the answer to the question

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ= 7. Compute the probability.

Answers

Complete question is;

Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. What is the probability P (X > 42)?

Answer:

P(X > 42) = 0.1271

Step-by-step explanation:

We are given;

mean; μ = 50

Standard deviation; σ = 7

Formula for the z-score is;

z = (x - μ)/σ

Thus;

z = (42 - 50)/7

z = -1.14

Since we are looking for P (X > 42), then let's look up this z-value from the z-distribution table attached.

We have;

P(X > 42) = 0.1271

find the product. write your answer in exponential form 9²•9-⁶​

Answers

Answer:

9^8

Step-by-step explanation:

9²•9⁶​ = 9^(2+6) = 9^8

Answer:

IF the 6 is negative : [tex]9^{2}[/tex] · [tex]9^{-6}[/tex] then the answer is 1/[tex]9^{4}[/tex]

If the 6 is positive then the answer is [tex]9^{8}[/tex]

Step-by-step explanation:

Exponents are add when their bases are similar.

how are they the same

Answers

Answer:

Step-by-step explanation:

The ways that they are the same are.

The slope is the same.Since the slope is the same for both of them, there is no possible solution meant for both of them. The slope is 1/4They are both written in slope y intercept form.The only difference is the y intercept is different. y intercept for y = 1/4 x is 0,0y intercept for y = 1/4 x is 0,5

Please help quickly I really don’t understand this question and i’m freaking out.

Answers

Answer:

[tex] \frac{4 \sqrt{3x} }{9} [/tex]

Step-by-step explanation:

[tex] \frac{4 \sqrt{ {21x}^{2} } }{3 \sqrt{63x} } [/tex][tex] \frac{4 \sqrt{ \frac{21 {x}^{2} }{63x} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x}{3} } }{3} [/tex][tex] \frac{4 \sqrt{ \frac{x \times 3}{3} } }{3} [/tex][tex] \frac{\frac{4 \sqrt{3x} }{3} }{3} [/tex][tex] \frac{4 \sqrt{3x} }{3} \times \frac{1}{3} [/tex][tex] \frac{4 \sqrt{3x} }{9} [/tex]Hope it is helpful...

In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB  266, then mAPB 

Answers

Answer: 86 degrees

Step-by-step explanation:

While watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race. What is the probability you choose all three places correctly

Answers

Answer:

1/17

Step-by-step explanation:

I he had even got 1 out of the 3 places the probability would be 3/17

But as he is guessing all three places it becomes 1/17

The probability of getting the 1st,2nd, and 3rd position will be 1/17.

What is the probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that while watching the Kentucky Derby horse races, you decide to guess who will win 1st, 2nd, and 3rd place. There are 17 horses in the race.

The probability is calculated by the formula,

Probability = Number of favorable outcomes / Number of sample

Number of favorable outcomes = 1

Number of samples = 17

Probability = Number of favorable outcomes / Number of sample

Probability = 1/17

Therefore, the probability of getting the 1st,2nd, and 3rd position will be 1/17.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ5

Type the correct answer in each box.

Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6

Answers

Answer X=0
AnswerY=2

Answer:

X=0

Y=2

Step-by-step explanation:

Just finished and i got it right

Multiply x^2+2x+3 times 4x^2-2x+1

Answers

Answer:

4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Answer:

answer for this solution is 4x^4+6x^3+9x^2-4x+3

PLEASE HELP MEEEEEEEEEEEEEE
triangle area ?​

Answers

25 root 3 divided by 2
Base is 5. Height is 5 root 3
Multiply then divide by 2

Answer:

A= 21.65063509

Step-by-step explanation:

triangle area is =base*hight/2

Because we have a right triangle we can apply the trigonometric functions

sin30 =base/hypothenuse = base/10

cos 30 = hight/hypothenuse =hight/10

sin30 = base /10  ; multiply both sides by 10

base = 10*sin30

cos 30 = hight /10 ; multiply both sides by 10

hight = 10 cos 30

A= 10*sin30*10*cos30/2 =

      100*sin 30*cos 30/2=

            50*sin30*cos30 = ; use calculator make sure is set up in degrees

A= 21.65063509

Samuel made a list of his test scores: 88, 100, 92, 80, 85, 94, and 90. What is the lowest test score he can get on his next test to have mean score of 90?

Answers

Answer:

he needs to get a 91 to have a mean score of 90

Step-by-step explanation:

add up all the known scores to get 629

let 's' = lowest test score

(629 + s) ÷ 8 = 90   [we divide by 8 because there are 7 known and 1 unknown score)

cross-multiply to get:

629 + s = 720

s = 720-629

s = 91

What is the slope of the line graphed below?
(-2,2)
(3, 1)

Answers

Answer:

hey. your questions is not complete. pls add an attachment of the graph to your question

Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]

Hope this helps



A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of
40 employees is taken, determine the standard error.
948.68
325.25
9328.71
none of these



Answers

Answer:

umm not sure on this one either 9328.71

Step-by-step explanation:

PLEASE HELP !! WILL MARK BRAINLIEST !!!

Answers

Answer:

5

Step-by-step explanation:

We can write the equation 7y=3y+20, because the top and bottom lemgths are equivalent

Now isolate x:

7y=3y+20

7y-3y=3y+20-3y (subtract 3y, subtraction property of equality)

7y-3y=20

4y=20 (simplify)

4y/4=20/4 (divide by 4, division property if equality)

y=5

What is the x-intercept of the line y = 2x – 10?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

(5,0)

»»————- ★ ————-««  

Here’s why:  

I have graphed the equation in a program. When graphed, the point crosses through the point (5,0). This means that (5,0) is the x-intercept. See the graph attached below.  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Select all the pairs of expressions that are equivalent.
•14d + 21 and 7(2d + 3)
•9(5r - 2) and 14r - 7
•8(69 - 9) and 489 - 72
•16 + 4w and 2(2w + 8)
•32t + 16 and 16(2 – t)

Answers

Answer:

14d + 21 = 7(2d + 3)

16 + 4w = 2(2w + 8)

Step-by-step explanation:

14d + 21

7(2d + 3)

14d + 21

14d + 21 = 7(2d + 3)

9(5r - 2)

45r - 18

14r - 7

9(5r - 2) ≠ 14r - 7

8(69 - 9)

552 - 72

489 - 72

8(69 - 9) ≠ 489 - 72

16 + 4w

2(2w + 8)

4w + 16

16 + 4w = 2(2w + 8)

32t + 16

16(2 - t)

32 - 16t

32t + 16 ≠ 16(2 - t)

The pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

How to determine the equivalent expressions?

To do this, we test each pair of expression.

This is done as follows

14d + 21 = 7(2d + 3)

Expand

14d + 21 = 14d + 21 --- this is true

9(5r - 2) = 14r - 7

Expand

45r - 18 = 14r - 7 --- this is false

8(69 - 9) = 489 - 72

Expand

552 - 72 = 489 - 72 --- this is false

16 + 4w = 2(2w + 8)

Expand

16 + 4w = 4w + 16 ---- this is true

32t + 16 = 16(2 – t)

Expand

32t + 16 = 32 - 16t --- this is false

Hence, the pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ6

Solve the system of equations.
y=8x-6
y=5x+9​

Answers

Answer:

x= 5 , y = 34

Step-by-step explanation:

8x-6=5x+9

3x-6=9

3x=15

x=5

-

8(x5) - 6 =

34

25(x5) +9 =

34

Answer:

x = 5 and y = 34

Step-by-step explanation:

I used substitution method and did this ;

8x - 6 = 5x + 9 .....put like terms together

8x - 5x = 9 + 6

3x = 15

x = 5

y = 8 (5) - 6

y = 40 - 6

y = 34

write a quadratic function f whose zeros are 2 and -6

Answers

Answer:

hope this will help u

Step-by-step explanation:

⇒  Given zeros are α=2 and β=−6.

⇒  Sum of zeros =α+β=2+(−6)=−4

⇒  Product of zeros =α×β=2×(−6)=−12

⇒  Quadratic polynomial =x  

2

−(α+β)x+(α×β)

⇒  Quadratic polynomial =x  

2

−(−4)x+(−12)

∴   Quadratic polynomial =x  

2

+4x−12

The quadratic function having 2 and -6 as zeros is f(x) = x² + 4x - 12.

What is the quadratic function with roots 2 and -6?

Given the parameters:
Zeros of the function: 2 and -6.

To find the quadratic function f(x) with zeros at 2 and -6, first set up the equation:

x = 2 and x = -6

These are the real solutions to the quadratic equation:

This means that; ( x - 2 ) and ( x + 6 ) are the factors of the quadratic equation:

Hence:

( x - 2 )( x + 6 ) = 0

Expand using distributive property:

x( x + 6 ) - 2(x + 6 )  = 0

x² + 6x - 2x - 12 = 0

Collect and add like terms:

x² + 4x - 12 = 0

Therefore, the function will be:
f(x) = x² + 4x - 12.

The quadratic function is f(x) = x² + 4x - 12.

Learn more about quadratic equations here: brainly.com/question/1863222

#SPJ6

Which table represents a linear function?
c
2
0
1
2
y
0
-1
4
-9
0
1
2
3
y
3
1
1
-3
2
0
y
0
1
4
9
y
1
3
0
1
2
3
1
--3
2
3
-1

Answers

Answer:

Table C is the answer

Step-by-step explanation:

find the value of x and y in the parallelogram ​

Answers

Answer:

x=14

y=40

Step-by-step explanation:

A parallelogram is like a rectangle 2 parallel sides are equal.

so x+3=17 and y-2=38

x+3=17

x=17-3

x=14

y-2=38

y=38+2

y=40

Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer​

Answers

Answer:

YES

Step-by-step explanation:

PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four

Step-by-step explanation:

it has no factor excluding 1 and itself

Can you help me please

Answers

Answer:

no solution

Step-by-step explanation:

[tex]\dfrac{2x - 6}{4} > \dfrac{x - 3}{2}[/tex]

The LCD is 4, so multiply both sides of the inequality by 4.

[tex]4 \times \dfrac{2x - 6}{4} > 4 \times \dfrac{x - 3}{2}[/tex]

[tex]2x - 6 > 2 \times (x - 3)[/tex]

[tex]2x - 6 > 2x - 6[/tex]

Subtract 2x from both sides.

[tex]-6 > -6[/tex]

Since -6 = -6, the above statement is false, so there are no solutions.

Answer: no solution

Other Questions
Can anyone help? I am having trouble. can someone help please!!find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1 "" good morning what is illuminati?? "" the trapezium is drawn on a centimetre grid T F Credit reports are issued monthly, so you know how much money topay toward your credit card bill. Which principle of the free enterprise system states that consumers ultimately havethe power to decide if a business will succeed or fail?A) Profit motiveB) Supply and demandC) Free competitionD) Consumer sovereignty Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions please yelp me find the area Briefly explain why adding insulation to an attic helps reduce heating costs. One floor is randomly taken from avase containing 5 red flowers,2 white flowers, and 3 pink flowers.Find the probability of taking a redor a pink flower. The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake? Evaluate the expression below when x = 7 and y = 8.5x23y which of the following experiments raises ethical concerns Point M is located at (3,-2) on the coordinate plane. Point M is reflected over thex-axis to create point M'. What ordered pair describes the location of M'? When she was nine, my daughter Kathleen asked if I had ever killed anyone. She knew about the warshe knew I'd been a soldier. "You keep writing war stories," she said, "so I guess you must've killedsomebody." It was a difficult moment, but I did what seemed right, which was to say, "Of course not," and thento take her onto my lap and hold her for a while. Someday, I hope, she'll ask again. But here I want to pretendshe's a grown-up. I want to tell her exactly what happened, or what I remember happening, and then I want tosay to her that as a little girl she was absolutely right. This is why I keep writing war stories:The author most likely includes paragraph 1 in order to do the following:To use a flashback to show how the story is a reflection of his past?To show how the actions of the narrator affect his daughter?To explain the author's motivation for becoming a writer?To show how the author's narrative techniques make him a great writer? What are the two main components of the cell cycle Kiran's father is 65 years old. He is 8 years older than threetimes Kiran's age. Find Kiran's age? An advantage of asexual reproduction is that it __________. Group of answer choices allows a species to easily rid itself of harmful mutations enhances genetic variability in the species allows the species to endure long periods of unstable environmental conditions produces offspring that respond effectively to new pathogens maintains successful genetic combinations without modification 3. What is FDR being made to look like in the cartoon? I 3Solve for x.X =82035