1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Molodets [167]
2 years ago
8

According to the Bureau of Labor Statistics, the average weekly pay for a U.S. production worker was $441.84 in 1998 (The World

Almanac, 2000). Assume that the available data indicate that wages are normally distributed with a standard deviation of 120. How much does a production worker have to make to be in the top 30% of wage earners? Give your answer to 2 decimal places
Mathematics
1 answer:
Oksanka [162]2 years ago
3 0

Using the normal distribution, it is found that a production worker has to make $542.64 a week to be in the top 30% of wage earners.

<h3>Normal Probability Distribution</h3>

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

Z = \frac{X - \mu}{\sigma}

  • 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 \mu = 441.84.
  • The standard deviation is of \sigma = 120.
  • The lower bound of the top 30% is the 70th percentile, which is X when Z has a p-value of 0.7, so <u>X when Z = 0.84.</u>

Z = \frac{X - \mu}{\sigma}

0.84 = \frac{X - 441.84}{120}

X - 441.84 = 0.84(120)

X = 542.64

A production worker has to make $542.64 a week to be in the top 30% of wage earners.

You can learn more about the normal distribution at brainly.com/question/24663213

You might be interested in
Which expression is not equivalent to the other three? 2x 2 2x 3x – 8 4 7x – 2 –2 5x 2x – 4 8x – x – 6.
erik [133]

The expression is not equivalent to \rm 28x-16.

<h2>Polynomial</h2>

An expression of more than two algebraic terms, basically sums of terms and variables of power n.

<h2>Given</h2>

2x+2 ,\ 2x,\ 3x-8, 4,\ 7x-2,\ -2,\ 5x,\ 2x-4,\ 8x,\ -x-6

<h2>Step by step explanation</h2>

\rm Equivalent\ expression = add\ all\ the\ given\ terms.\\&#10;Equivalent\ expression = 2x+2+2x+3x-8+4+7x-2-2+5x+2x-4+8x-x-6\\&#10;Equivalent\ expression = 2x+2x+3x+7x+5x+2x+8x-x+2-8+4-2-2-4-6\\&#10;Equivalent\ expression = 28x-16\\&#10;

Then the expression is not equivalent to \rm 28x-16.

Thus, the expression is not equivalent to \rm 28x-16.

More about the polynomial link is given below.

brainly.com/question/17822016

7 0
2 years ago
Solve for t: 3t + 4 = 19<br><br>options: <br>t = -7<br>t = 7<br>t = 3<br>t = -5​
kogti [31]

Step-by-step explanation:

3t + 4 = 19

3t = 15

Hence t = 5.

6 0
2 years ago
Read 2 more answers
After 7 years, Abner earned $1575 in simple interest from a CD into which he initially deposited $6000. What was the annual inte
Radda [10]
The answer is C. 3.75%
6 0
3 years ago
Read 2 more answers
write a number with a 6 in it that is 10 times the value of 6 in this number 236,789.321 explain plis
Svetlanka [38]

Answer:

Step-by-step explanation:the answer to your question is the value of the 6 is 6,000,000

5 0
2 years ago
Luanne wants to have $3275 in her bank account in 10 years. How much money should she deposit if her account earns 7.5% interest
Mekhanik [1.2K]
A. $1589.01

I solved this by a simple trial and error by inputing each answer into the equation.
8 0
3 years ago
Read 2 more answers
Other questions:
  • The ratio of the side length of square A to side length of square B is 4:9. The side length of square A is 12 yards. What is the
    7·1 answer
  • A fair number cube with 1, 2, 3, 4, 5 and 6 on its faces is rolled once. The dot on the number line below represents the probabi
    10·1 answer
  • Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in th
    10·2 answers
  • The radius of a circle is 4 in . Find it’s circumference in terms of
    5·1 answer
  • Line CD is constructed by making arcs centered at point A and point B with the same compass width.
    10·1 answer
  • What
    10·1 answer
  • PLEASE HELP!!!
    10·1 answer
  • What is the number name of (i)46,25,689and (ii)658,902,250​
    9·1 answer
  • Is my answer right? if not break the hard news and give me the right one​
    8·1 answer
  • Find the number that makes the ratio equivalent to 4:5. 28:_
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!