According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,060. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $495. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,575 per year on reading and entertainment

Answers

Answer 1

Answer:

The answer is [tex]15.00[/tex] %

Step-by-step explanation:

Let's start defining the random variable. We have the following variable :

[tex]X:[/tex] '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''

We assume that [tex]X[/tex] follows the normal distribution. We can write :

[tex]X[/tex] ~ N ( μ , σ )

Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :

[tex]X[/tex] ~ [tex]N(2060;495)[/tex]

In order to answer the question, we first must calculate the probability :

[tex]P(X>2575)[/tex] (I)

We are going to calculate this probability by making a substitution. If we substract the mean to the variable [tex]X[/tex] and then divide by the standard deviation, we obtain a new variable [tex]Z[/tex] which can be modeled as a [tex]N(0;1)[/tex]. This is convenient because the cumulative distribution from [tex]Z[/tex] is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :

[ ([tex]X[/tex]-μ) / σ ] = [tex]Z[/tex] ~ [tex]N(0;1)[/tex] ⇒ If we apply this to the equation (I) ⇒

[tex]P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)[/tex]

Then,

[tex]P(Z>1.04)=1-P(Z\leq 1.04)[/tex] (II)

Looking in any cumulative distribution table of [tex]Z[/tex] ⇒ [tex]P(Z\leq 1.04)=0.85[/tex]

If we replace this value in (II) ⇒

[tex]P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15[/tex]

Using percent we obtain [tex]15.00[/tex] %


Related Questions

Which of the following is not true? Select one: The data is symmetrical. The median is 1.25. The data is skewed right The spread of the data distribution is from 0 to 2.5

Answers

do you have a picture of the data table?

In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With and P(E) = 60 and P(F) =.15, calculate:
A. P(EC).
B. P(EUE).
C. P(EC ∩ FC).

Answers

Answer:

A. P(EC) = 0.4  

B. P(E∪E) = 0.75

C. P(EC ∩ FC) = 0.25

Step-by-step explanation:

Let us calculate -:

we are given with - P(E) = 60 and P(F) =.15,

Thus , (a) [tex]P(E^C)=1-P(E)[/tex]

                   [tex]=1-0.6[/tex]

                   [tex]=0.4[/tex]

(b) P(E∪F) = P(E) + P(F)

   = 0.60 + 0.15

   = 0.75

(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]

   [tex]=1-0.75[/tex]

   = [tex]0.25[/tex]

Hence , the answers are -A. P(EC) = 0.4  , B. P(E∪E) = 0.75  , C. P(EC ∩ FC) = 0.25.

how do you simplify?

-4w-3(-7x+6w)+3x

Answers

Answer:

w= 9x/5

Step-by-step explanation:

Answer:

-22w+24x

Step-by-step explanation:

Maria had $22.45 to spend on groceries. After buying 3 bags of chips, she had $10.60 left. If each bag of chips costs the same amount, what is the price of one bag of chips

Answers

Answer:

$3.95

Step-by-step explanation:

Take the amount she has to spend and subtract the amount left ($10.60) and that will leave you with $11.85.  So this is  how much was spent on the 3 bags of chips. To find how much each bag cost, divide $11.85/3 bags = $3.95 per bag.

The area of a rectangle is 108 square meters the width is 9 meters what is the length

Answers

Answer:

12

Step-by-step explanation:

9x12=108

Answer:

length is 12

Step-by-step explanation:

108 divided by 9 is 12

The Sine Function

The tide is the regular rising or falling of the ocean's surface. This is due in large part to the gravitational forces of the moon. The following table represents water level of the tide off the coast of Kings Point, N.Y. for a 24 hour period.
February 9th through February 10th of 2009.

Use your graphing calculator to produce a sine regression model for the data in the table. Round a, b, c, and d to the nearest 0.0001. Then use your model to predict the height of the tide 30 hours after the original observation.

a. The height of the tide 30 hours after the original observation is -3.27 feet.
b. The height of the tide 30 hours after the original observation is 16 feet.
c. The height of the tide 30 hours after the original observation is 8 feet.
d. The height of the tide 30 hours after the original observation is -0.63 feet.

Please select the best answer from the choices provided

Answers

Answer:

C. The height of the tide 30 hours after the original observation is 8 feet.

Step-by-step explanation:

I calculated it logically

Can someone please help me with this (it says I have to choose more than 1 answers)

Answers

Answer:

B & C

Step-by-step explanation:

Since x is greater than 38, 40 and 120 matches the condition.

Hope u understand.

Please mark as the brainliest

What is the sum of the measures of angles 3,4,5?

Answers

Answer:

It's equal to 3² + 4² + 5² = 9 + 16 + 25 = 50

Use the Distributive Property to solve the equation below. Use pencil and paper. Describe what it means to distribute the 2 to each term inside the parentheses.
2(m+4)=20

Answers

Answer:

Use the distributive property to solve the equation 2(m + 2) = 22. Describe what it means to distribute the 2 to each term inside the parentheses

Answer:

7

Step-by-step explanation:

ILL GIVE BRAINLIEST PLSSSS HELP BASICALLY EVERYTHING IS IN THE PICTURE IF YOU ANSWER THIS WRONG OR PUT RANDOM WORDS OR A LINK I WILL REPORT YOU FASTER THAN THIS IS DUE ​

Answers

Hi I think the answer would be B
If you add up all the numbers it equals 50 and then add football and tennis together that equals 13, and then you have to divide 13/50 which equals 0.26 (26%)
SOMEONE ALREADY ANSWERED BUT “ i will report you faster than this is due “ AOSJDJD IM CRYING


What is the inverse of the function y = 2x + 3?

Answers

Answer:

y = x/2 - 3/2

Step-by-step explanation:

Answer:

y = x/2 - 3/2

Step-by-step explanation:

First, get x on its own:

Subtract 3 from each side

y - 3 = 2x

Divide through by 2

y/2 - 3/2 = x

or x = y/2 - 3/2

Now simply switch labels: x↔y

y = x/2 - 3/2

Karen, Janet, Brian, and José ran for class president.
José received 35% of the vote and Janet received 24%.
What percentages could Brian and Karen have received?

NO LINKS !!!

A. 45% and 26%
B. 25% and 16%
C. 30% and 21%
D. 35% and 36%

Answers

The correct answer is b

What is the slope of the following equation?
y = -3x +7
A. -3
B. 7
C. X
D. -7

Answers

Answer: A. -3

Step-by-step explanation: The slope is the coefficent of x, this can be read as -3/1, down 3 over 1.

Jill took a photograph of a plane taking off. Her mother is an air-traffic controller and was able to estimate the measurements shown. How far is the plane above the ground? Round to the nearest yard?
56 yards

75 yards

40 yards

60 yards

Answers

Probably 75 I think hope this helps

Answer:

75 yards .

Step-by-step explanation:

Let 90 yards be h ,50 yards be b and remaining side be p

h^2 = p^2 + b^2

90×90=p^2+50×50

90×90-50×50=p^2

root 5600=p

p=74.833

Help meeee please or I'm going to fail school
Christopher tosses a coin three times. Each toss could be heads or tails. Which outcome would be included in the compound event "at least two heads"? First toss He Second Third Sample space toss toss outcomes
H HHH HHT HTH HTT THH THT TTH H H T

A. THH

B. HTT

C. TTH

D. THT

Answers

Answer: The is THH, or A.

Step-by-step explanation: The question directly ask for “at least two heads”, which no other answer contains two heads. Therefore, the answer is A.

find the volume of the pyramid 6ft 6ft 4ft

Answers

Answer:

48 ft³

Step-by-step explanation:

[tex]V=\frac{lwh}{3}[/tex]

6 · 6 · 4

144 ÷ 3

48

Answer:

48ft cubed

Step-by-step explanation:

Multiply the numbers then use cubed because your working with volume.

How would you characterize the relationship between the hours spent on homework and the test scores

Answers

Answer:

sorry can'thelp

Step-by-step explanation:

Answer and explanation:

I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!

what is the probability of rolling a number greater than 2 with a standard number cube

Answers

Answer:

4/6 or 2/3

Step-by-step explanation:

6 sides with 4 of the numbers being greater than 2; 4/6. The simplified version is 2/3.

Please help me! No links

How many math problems were answered correctly by Suzy and Joe?

Answers

Since suzy answered 9 and Joe answered 12, you add 9+12 to get 21. The answer is 21 math problems.

The numbers x, y, z and w have an average equal to 25. The average of
x, y and z is equal to 27. Find w.
A. 23
B. 19
C. 25 D. 29​

Answers

Answer:

look at the picture i sent

Transform the equation 2x^2 + 4xy + 5y^2 - 4x - 22 to parallel axes
through (-2,3).

Answers

Answer:

I think you are happy with answer

The function f(x) = 2 and g(x) = f(x + k). Ifk = -5, what can be concluded about the graph of
g(x)?
The graph of g(x) is shifted vertically
Select a Value
The graph of g(x) is shifted horizontally

Answers

Answer:

the graph is not shifted vertically from the graph of f(x)

the graph is not shifted horizontally from the graph of f(x)

Step-by-step explanation:

The lowest part of the Caspian Sea has an elevation of 28 meters below sea level. Enter the integer that represents the elevation of the lowest part of the Caspian Sea, in meters

Answers

Answer:

-28 meters

Step-by-step explanation:

Sea level is represented as 0 meters typically, so for something that is 28 meters below sea level, you would represent that as -28 meters.

i got one hour to complete this please help ASAP :

Answers

Answer:

b

Step-by-step explanation:

Plz help me well mark brainliest!!...

Answers

Answer:

B

Step-by-step explanation:

9+9+6+6=18+12=30

hope it helps :)

answer: B

explanation: to get the perimeter you need to add all the sides.
9+9+6+6=30

Lauren is making string bracelets with black and silver beads added in for decoration.

Black beads come in packages of 24, and silver beads come in packages of 36.
Each bracelet will have the same number of each color bead.
Lauren has one package of each bead color, and she will use all of the beads.
What is the greatest number of bracelets Lauren can make?

Answers

The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.

What is the greatest number of bracelets that can be made?

In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.

Highest common factor is the highest factor that is common to two or more numbers

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors of 36 = 1, 2, 3, 4, 6, 12, 18, 36 Highest common factor = 12

To learn more about highest common factor, please check: https://brainly.com/question/26073850

#SPJ2

How can limit be used in real life

Answers

Answer:

Engineers use limits in real life.

Step-by-step explanation:

Limits are also used as real-life approximations to calculating derivataves. So to make calculations, engineers will approximate a function using small differences in the function and then try and calculate the derivative of the function by having smaller and smaller spacing in the function sample intervals.

Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.

a. Write an expression to show the total amount of money Maggie spent.

b. If Maggie bought 4 CDs and 3 books, how much money did she spend?

Answers

Step-by-step explanation:

Given that,

Maggie bought c CDs for $12 each, b books for $7 each, and a purse costing $24.

(a) Cost of c CDs = 12c

Cost of b books = 7b

Cost of p purse = 24p

Total amount = 12c+7b+24p

(b) Cost of 4 CDs = 12(4) = $48

Cost of 3 books = 7(3) = $21

Hence, this is the required solution.

Determine whether the sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative.
A psychologist wants to measure the effect of music on memory. He randomly selects 80 students and measures their scores on a memory test conducted in silence. The next day he measures their scores on a similar test conducted while classical music is playing. The mean score without music is compared to the mean score with music.
A. quantitative, independent.
B. ​quantitative, dependent.
C. ​qualitative, dependent.
D. ​qualitative, independent.

Answers

Answer:

its B i did chapter 11 test yesterday

Step-by-step explanation:

It is B. Quantitative, Dependent

In the first region are located 6 Rattatta Pokemon hidden in the grass at any given time and 8 Pidgey Pokemon. What would be the probability of running a Rattatta Pokemon?​

Answers

6+8= 14
6/14 is the probability
Other Questions
The length of a rectangle is represented by (2x2 - 5x + 5) cm and the width is represented by (x2 + 4x - 3)cm. What is the representation of the perimeter? What were the response in the north to conscription? The Tornado that Changed AmericaHow does Tarshis use figurative language to portray the tornado?Please help asap Do you think people still believe in American dream in 2021? Why do people come to America? I will give brainlst if the answer is right. How did the challenges andopportunities for Mexicans in theUnited States differ from those forAfrican Americans? tudents in a fitness class each completed a one-mile walk or run. The list shows the time it took each person to complete the mile. Each time is rounded to the nearest half-minute.5.5, 6, 7, 10, 7.5, 8, 9.5, 9, 8.5, 8, 7, 7.5, 6, 6.5, 5.5Which statements are true about a histogram with one-minute increments representing the data? Select three options.A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.The histogram will have a shape that is left-skewed.The histogram will show that the mean time is greater than the median time of 7.4 minutes.The shape of the histogram can be approximated with a normal curve.The histogram will show that most of the data is centered between 6 minutes and 9 minutes. Briefly summarize thesepages. What is the familyafraid of? Make somepredictions, based on thisscene, about how the rest ofthe play will go. Make sure touse A.C.E (Answer/Restate-Cite-Explain) Explain the Supremacy Clause and why its important The Sun is a star that Earth and the other planets revolve around. The Sun has a large gravitational pull. The gravitational attraction of the Sun contributes most to which of the following?A) Motion of the planetsB) Magnetic field of the planetsC) Mass and density of the planetsD) Atmosphere of the planets Absorption happens the best when the food molecules are in what form? At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks) Read the passage from The Importance of Being Earnest. Gwendolen. [To Jack.] Darling! Algernon. [To Cecily.] Darling! [They fall into each other's arms.] [Enter Merriman. When he enters he coughs loudly, seeing the situation.] Merriman. Ahem! Ahem! Lady Bracknell! Jack. Good heavens! [Enter Lady Bracknell. The couples separate in alarm. Exit Merriman.] Lady Bracknell. Gwendolen! What does this mean Robert is the sole shareholder and CEO of ABC, Inc., an S corporation that is a qualified trade or business. During the current year, ABC has net income of $287,000 after deducting Robert's $86,100 salary. In addition to his compensation, ABC pays Robert dividends of $200,900.a. What is Robert's qualified business income? b. Would your answer to part (a) change if you determined that reasonable compensation for someone with Robert's experience and responsibilities is $181,050? solve the equation + please help for all equations please. use the pythagorean theorem!!! i will give brainlyiest to the most helpful answer solve: y= 2x^2+2x-12 rewrite the folliwing words in alphabet orders (jug, cat , basket , fish ,dog Protein Synthesis and Codons PracticeDNA T T C A A T G G T C T A G G G RNA Amino Acids If the radius of the circle is 7.2cm what is the circumference to the nearest tenth?