Salaries for various positions can vary significantly, depending on whether or not thecompany is in the public or private sector. The U.S. Department of Labor posted the2007 mean salary for human resource managers employed by the federal governmentas $76,503. Assume the annual salaries for this type of job are normally distributedand have a standard deviation of $8850.a)What is the probability that a randomly selectedhuman resource manager received over $100,000in 2007?

Answers

Answer 1

Answer:

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 76503, standard deviation of 8850.

This means that [tex]\mu = 76503, \sigma = 8850[/tex]

a)What is the probability that a randomly selected human resource manager received over $100,000 in 2007?

This is 1 subtracted by the pvalue of Z when X = 100000. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{100000 - 76503}{8850}[/tex]

[tex]Z = 2.66[/tex]

[tex]Z = 2.66[/tex] has a pvalue of 0.9961

1 - 0.9961 = 0.0039

0.0039 = 0.39% probability that a randomly selectedhuman resource manager received over $100,000 in 2007.


Related Questions

determine the point-slope form of the line with slope -7 that intersects the point (5,23)

Answers

Answer:

y=-7x+58

Step-by-step explanation:

Can Yall Help please lol. also this is for 20 points.
which set of numbers does not form a right triangle? a.)14,48,50 b.) 15,20,25 c.) 21,28,35 d,) 27,35,46

Answers

Answer:

maybe b?

Step-by-step explanation:

A cause 50 cant make a right triangle but b can

According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.

Answers

Answer:

D) Africa has more users than the Middle East but fewer users than North America.

Step-by-step explanation:

Hope it helps :)

Help me quickly!!! I'll try to give Brainlyest

Answers

Answer:

number 12 is A for sure

1 is c hope that helps

Find the measure of <5.
45 = [?]
69%
25

Answers

Answer:

Solution given:

<5+69°=180°[co- interior angle]

<5=180°-69°=111°

<5=111°

? Help
Which number will make the two fractions
10 5
equivalent?
38 ?
OA) 2
B) 5
C) 18
D) 19

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

it is just right my brudda

You owe $1456.32 on a credit card with a limit of $3500 what is your debt ratio?
A. 40%
B. 43.4%
C. 35%
D. 41.6%

Answers

A because 40% of 3500 is 40%

26.5 multiplied by 0.38

Answers

10.07 would be the answer

Answer:

10.07

Step-by-step explanation:

26.5 x 0.38 = 10.07

Can I get brainliest

8 2/3 divided by 4 1/8=2 1/10

Answers

Answer:

8 2/3 divided by 4 1/8=2 1/10  is Correct

exactly 2 10/99

Hi I need ur help! (And this is the other one if you saw my last question)

Answers

Answer:

Hi gimmie brainly

thanks

Find the sum: (7b
-4) + (-2b+1).

Answers

Answer:

=5b-3

Step-by-step explanation:

(7b -4) + (-2b+1).

Remove parenthesis;

7b-4+-2b+1

Group like terms;

=7b-2b-4+1

Add similar element

7b-2b=5b

=5b-4+1

Add/subtract the numbers

=5b-3

Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO

HOPE THIS HELPED!!!

Victoria purchased 0.6lbs of deli ham for $4.71. What is the cost of ham per pound?

Answers

Answer:

$7.85

Step-by-step explanation:

Per pound = 1

Ratios:

[tex]\frac{4.71}{0.6} =\frac{x}{1} \\\\0.6x=4.71\\x=7.85[/tex]

Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up

Answers

Answer: D

Step-by-step explanation:

d. translation 1 unit left & 1 unit up

right on edg

HELPP ME IM FAILING IN MATH

Answers

Answer:

-2, 4

Step-by-step explanation:

a parallelogram is a shape that's lines will never cross, putting the 4th plot there would make that true

Answer:

Plot (-3,5)

I hope this is right ; -;

Plesse help me:) ive been stuck on this for a while

Answers

Answer:

4th number line (the one of the bottom right)

Step-by-step explanation:

First, solve the inequality, then choose the number line that mathes the solution.

3x ≤ -6

Only step: Divide by 3.

x ≤ -6/3

x ≤ -2

But which number line matches the solution?

We know this is going left, so #1 & #3 are out. This also has a closed circle (because of ≤ (less than/equal to)), so #2 is also out.

Number line #4 matches the solution (x ≤ -2), so it is the answer.

I APRECIATE HELP. A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a plant (in inches) over time (in days). The residual plots for each set are shown. Based on the residuals, which data set is best fit by the regression line?

Answers

The data set that is best fitted by the regression line is; Data Set B

What are regression residuals?

Residuals are described as the distance of  each point from the regression line.  Thus, the farther each point is from the line, the worse the fit and the closer each point is to the line, the better the fit.

Graph C has points that are not tightly centered around a line.  This is not a good fit.

Graph A has a straight line; it is not a good fit.

Graph B, shows us that all of the points are tightly centered around a line; this is a good fit.

Read more about Regression Residuals at; https://brainly.com/question/17844286

#SPJ5

THE ANSWER CHOICE FOR D. 15 BUT HELP PLEASE

Answers

Answer:

60

Step-by-step explanation:

Solve each system.
3x – y = 5
4x – 2y = 4

Answers

Answer:

x = 3

y = 4

Step-by-step explanation:

y = 3x -5

4x - 2(3x-5) = 4

4x - 6x + 10 = 4

-2x = -6

x = 3

y = 4

The length of a desk top is 4 feet. How many inches is the length of the desktop?

Answers

Answer:

ohh wait i read the question wrong yeah the person below me is correct

Step-by-step explanation:

there are 12 inches in a foot.

12*4= 48 inches.

An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.

Answers

Hi

Let's call X  the amount in the beginning.  

we  have X*1.03^6 = 1819.77

                X =  1819.77 /  1.03^6

                X ≈ 1524.03

HELP! WILL GIVE BRANLIEST!

Answers

Answer:

x = 7

z = 85

Step-by-step explanation:

For x:

8x + 39 = 95

8x = 56

x = 7

For z:

95 + 95 + z + z = 360

190 + 2z = 360

2z = 170

z = 85

Check work:

DOES 85 + 85 + 95 + 95 = 360 ? Yes. Answer is correct.

I would appreciate Brainliest, but no worries.

what is the range of magazines sold?


please answer will give brainliest

Answers

Answer:

range: 8

Step-by-step explanation:

In order to find the range you need the minimum and maximum

minimum: 17

maximum: 25

Subtract

25-17=8

Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10. (4 points)

one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10

Answers

3 x one fourth x 26 - 10

32) If somebody has a monthly income of $2,543, what should their monthly auto expense be?

Answers

Answer:

$211.916

Step-by-step explanation:

the segments shown below could form a triangle. True or false ​

Answers

Answer:

true

Step-by-step explanation:

true


Which one of the following U.S. customary units is closest in volume to I liter?

Answers

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

What is volume?

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

To learn more about the volume refer:

https://brainly.com/question/1578538

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Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be

Answers

Answer:

The maximum guaranteed waiting time should be of 18.37 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.

This means that [tex]\mu = 15, \sigma = 2.4[/tex]

The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?

The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.405 = \frac{X - 15}{2.4}[/tex]

[tex]X - 15 = 1.405*2.4[/tex]

[tex]X = 18.37[/tex]

The maximum guaranteed waiting time should be of 18.37 minutes.

Please no links I’ll be picking brainiest

Answers

Answer:

y=6x-2.5

Step-by-step explanation:

It goes up by $6and if it is zero miles it is -2.5.

The list shows the numbers of employees in the nine departments at a company.

14, 23, 6, 54, 30, 26, 17, 3, 26

What is the range of the numbers of employees in these departments?
51
18
26
23

Answers

Answer:

51

Step-by-step explanation:

largest number - smallest number

54 - 3 = 51

Answer:

51

step by step

Explanation: The range of a data set is the difference between the largest number in the data and the smallest number in the data set which in this case is 54 - 3 of 51. So the range of this data set is 51.

A square and a rectangle have the same perimeter. The rectangle is 13 cm long and 7 cm wide.
Which is the length of a side of the square?
A. 5 cm
ОО
B. 10 cm
OC. 20 cm
OD. 40 cm
E. 91 cm

Answers

You would have to figure out the rectangles perimeter then divide
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