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

What is probability that matt will select one of the letters in the word jump

Answers

Answer:

1 outta of 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 out of 4

there are four letters and the probability he will chose one is one out of the four letters.

HELP
What is the correct rule for y, in terms of x?

Answers

Answer:

please the question is not complete

The phrase "y is a function of x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .

Anna is solving this equation:
7- 3(2x - 5) = -(3x + 7)
Anna uses the distributive property for her first step.
Which equation shows the correct result of Anna using the distributive property?
A. 7- 6x – 5 = -3x +7
B. 7 - 6x + 5 = -3x - 7
C. 7-6x – 15 = -3x + 7
D. 7-6x + 15 = -3x - 7

Answers

Answer:

D

Step-by-step explanation:

if you distribute, you'll get D

Answer: D

Step-by-step explanation:

7-6x + 15 = -3x - 7

Please help me answer this

Answers

The answer is B: 144 cm^2

Which of the following conversions is correct?

A. 1 cup is equivalent to 2 pints.
B. 4 pints is equivalent to 1 quart.
C. 1 gallon is equivalent to 128 fluid ounces.
D. 1 quart is equivalent to 8 cups.

Answers

1 gallon = 128 ounces

Answer:

C. 1 gallon is equivalent to 128 fluid ounces.

Step-by-step explanation:

Need answer quick with full work

Answers

Answer:

Apply the distributive property.

2x3+4−−x2−(3x)2x3+4--x2-(3x)

Multiply −−x2--x2.

Tap for fewer steps...

Multiply −1-1 by −1-1.

2x3+4+1x2−(3x)2x3+4+1x2-(3x)

Multiply x2x2 by 11.

2x3+4+x2−(3x)2x3+4+x2-(3x)

Multiply 33 by −1-1.

2x3+4+x2−3x2x3+4+x2-3x

Move 44.

2x3+x2−3x+4

PLEASE HELP I NEED THIS NOW, AND IS POSSIBLE A EXPLICATION

Answers

Answer:

you forgot the pic

Step-by-step explanation:

Your friend Shawn tells you that he had been practicing flipping coins so that they will land on heads more frequently than tails. He claims that he can now flip a coin and the probability it will land on heads is 9/10.

PART A
Do you believe him?


A
yes
B
no

Answers

Answer:

Yes because I believe my friend

Step-by-step explanation:

B no because there will always be a 50/50 or 1/2 chance of the coin landing on heads. This will only be the probability if he flips the coin correctly

Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 >7
1- -2
2- 0
3- 3
4- 4
5- 6
6- 8

Answers

Answer:

-2. 0. 3. 4

Step-by-step explanation:

counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4

Bianca bought a pack of rechargeable batteries for
$9.99. If the sales tax on the batteries is 3% and Bianca
pays with $11 cash, how much change will she get back?

Answers

Answer:

$0.71

Step-by-step explanation:

9.99 + (3% of 9.99) = 10.2897

11 - 10.2897 = 0.7103, so $0.7103 is our answer. However, this isn't a real amount of money that can be handed from a clerk to a customer. So, we will round it to the nearest cent, bringing us to $0.71, our final answer.

Find the range of the data

97,106,99,97,115,95,108,100

Answers

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation: 115-95=20

8th Algebra

Which of the following correlations would be an example of causation?


Question 1 options:


A. a positive correlation between the number of prisons in an area and the number of hospitals in that area



B. a positive correlation between the number of hours spent studying and the grade earned on a test



C. a negative correlation between the number of cell phones sold per year and the number of people born per year



D. a negative correlation between the amount of ice cream sales and the number of crimes committed in a city

Answers

Pls just say this is helpful I need points for my homework ;(

The number of pets owned by eight classmates is shown below:

1, 3, 2, 2, 1, 3, 3, 1

Part A: What is the mean of the data? Show your work. (4 points)

Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answers

Answer:

Part A: Mean = 2

Part B: 6

Step-by-step explanation:

Part A: Add all the data piece's and divide by total value

Part B: Subtract the mean from each piece of data in the dat set and find the absolute value of each answer. 1+1+0+0+1+1+1+1 = 6

The mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

What is mean of data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The number of pets owned by eight classmates is shown below:

[tex]1, 3, 2, 2, 1, 3, 3, 1[/tex]

The total number of pets are 8. The mean is the ratio of sum of all the values to the total values. Thus,

[tex]m=\dfrac{1+ 3+ 2+ 2+1+3+3+1}{8}\\m=\dfrac{16}{8}\\m=2[/tex]

The mean absolute deviation (MAD), can be calculate by adding difference of each data from mean and then divided by number of terms.

[tex]\text{MAD}=\dfrac{(1-2)+ (3-2)+ (2-2)+ (2-2)+(1-2)+(3-2)+(3-2)+(1-2)}{8}\\\text{MAD}=\dfrac{6}{8}\\\text{MAD}=0.75[/tex]

Thus, the mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.

Learn more about the mean here;

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Which angle is supplementary to 15?

Answers

9514 1404 393

Answer:

  ∠14

Step-by-step explanation:

Angle 15 forms a linear pair with angles 14 and 16. Each of those is supplementary to angle 15. Only angle 14 is listed as a choice.

Nathaniel, a meteorologist, keeps track of the amount of rain each year relative to the amount of rain in
2000. Two years of data are shown in the table below.
Year
Amount of rain relative to 2000 (in cm)
2004
27
2005
-49
Which one of the following inequalities correctly compares the relative amounts of rain?
Choose 1 answer:
27 <-49
-4927
Which one of the following descriptions is correct?
Choose 1 answer:
There was less rain in 2004 than in 2005.
there was less rain in 2005 than in 2004

Answers

Answer:

Both answers are the first option.

Step-by-step explanation:

Question 1: 27 is greater than -49, so that is why the first option for question one is correct.

Question 2:-49 is less than 27 so that is why 2005 had less rain compared to 2004.

The correct inequality comparison is 27 > -49.

The correct description is: There was less rain in 2005 than in 2004.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

When we compare the relative amounts of rain in the table, we see that the amount of rain in 2005 (-49 cm) is less than the amount of rain in 2004 (27 cm).

The correct inequality comparison is: 27 > -49

The minus sign in front of 49cm in 2005 indicates that the amount of rain is less than the amount of rain in 2000.

So, the correct description is: There was less rain in 2005 than in 2004.

Learn more about inequalities here:

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I need help with this I will mark you if you get it right

Answers

Answer:

I thinks its D have a nice day

Step-by-step explanation:

I pretty sure it’s D :)

How do you write 5.09 104 in standard form?

Answers

509,000
Hope that helped :)

HELP WILL GIVE BRAINLEIST AND LOVE YOU FOREVER

Answers

i think #3 is 20 and #4 is a trapezoid. im so sorry if that’s wrong. if it is lmk and ill try again.

15 points
Triangle ABC has side lengths of 19 in, 12 in, and 25 in. Match each side
with its correct length. *


I will give brainliest ]. 28 POINTS !

Answers

Answer:aa

Q

Q

A

W

W

Q

Q

S

S

W

Q

W

W

W

W

Step-by-step explanation:

A

Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb

If 50% of an item is $5.00, what is the original price?

Answers

Answer:

$10.00

Step-by-step explanation:

half of 100 is 50

and half of 10 is 5

At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per share. Find the percent of increase

Answers

Find the increase amount:

43-40 = 3

Divide increase amount by starting value:

3/40 = 0.075

Multiply by 100:

0.075 x 100 = 7.5% increase

Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?​

Answers

Answer:

31

Step-by-step explanation:

2 out of 35 are chess club members.

The fraction of chess club members in the survey is 2/35.

Now we find 2/35 of 550.

2/35 * 550 = 1100/35 = 31.43

Answer: 31

If there are 550 students at her school, then there are 31 chess club members in the entire school.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.

We can set up a proportion to solve for this:

2/35 = x/550

where x is the number of chess club members in the entire school.

To solve for x, we can cross-multiply and simplify:

2 × 550 = 35 × x

1100 = 35x

Divide both sides by 35.

x = 1100/35

x ≈ 31.43

Therefore, we can estimate that there are approximately 31 chess club members in the entire school.

To learn more on probability click:

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Rewrite each fraction with a denominator of 10 7/2= 3/5=​

Answers

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

To get a common denominator of 10, simply multiply the current denominator by any number to equal 10. The first fraction has a denominator of 2. If we divide 10 by 2, we get the answer 5. This means 2 can be multiplied by 5 to get a denominator of 10. However, what we do to the denominator we must also do to the numerator (multiply by 5).

7/2

7 × 5 / 2 × 5

35/10

3/5

3 × 2 / 5 × 2

6/10

Answer:

7/2 = 35/10

3/5 = 6/10

Step-by-step explanation:

[tex]\frac{7}{2}\cdot \frac{5}{5}=\frac{35}{10}[/tex]

[tex]\frac{3}{5}\cdot \frac{2}{2}=\frac{6}{10}[/tex]

Solve the following inequality.
5 + m > -2 OR 2m < -20
m >
[?] OR m <[ ]

Answers

Answer:

m >-7 or m < -10

Step-by-step explanation:

5+m >-2

subtract 5 from both sides

⇒5-5+m > -2-5

m > -7

or..

2m <-20

divide both sides by 2

2m÷2 < -2÷2

m= < -10

hope it helps

have a great day!! ^_^

Imagine you are the teacher. Explain how you would walk your student through this problem to answer this problem step by step.

Two hikers leave a cabin at the same time, one heading due south and the other headed due west. After one hour, the hiker walking south has covered 2.8 miles and the hiker walking west has covered 3.1 miles. At that moment, what is the shortest distance between the two hikers?

Answers

Answer:

Due south and due west form a right angle, and the shortest distance between any two points is a straight line. Therefore, we can apply the Pythagorean theorem and write:

3.12+2.82=x2

Here, you will need to use a calculator to simplify the left-hand side:

17.45=x2

Now use your calculator to take the square root. You will likely need to round your answer.

x=17.45−−−−√≈4.18 miles

As you can see, it will be up to you to determine that a right angle is part of the situation given in the word problem. If it isn’t, then you can’t use the Pythagorean theorem.

Step-by-step explanation:

this is my explanation

Solve this equation involving decimals:
8.4 + 0.18x = 0.32x

Answers

Answer

hoi

Step-by-step explanation:

hi

Answer:

C) x = 60

Step-by-step explanation:

For a party, you are cooking a large amount of stew that has meat, potatoes, and carrots. The meat costs $6 per pound, the potatoes cost $3 per pound, and the carrots cost $1 per pound. You spend $48.50 on 13.5 pounds of food. You buy twice as many carrots as potatoes.

Answers

Answer:

6lb meat2.5lb potatoes5Ib carrots

Step-by-step explanation:

M + P + C = 13.5

6M + 3P + C = 48.50

OM + 2P - C = O

2P = C

Therefore, there are 6 pounds of meat, 2.5 pounds of potatoes, and 5 pounds of carrots.

Area & Surface Area:Question 10

What is the area of the right triangle shown in the image?
7 4 Select one:

A. 22 units?
B. 11 units
C. 14 units
D. 28 units​

Answers

Answer:

D

Step-by-step explanation:


Look at the two quadrilaterals shown below.
Which one of the following statements about these quadrilaterals Is FALSE?
Both quadrilaterals have four equal angles.
Both quadrilaterals have four equal sides.
Both quadrilaterals have opposite parallel sides.
Both quadrilaterals have four right angles. The two shapes are a square and a rectangle

Answers

Answer:

"Both quadrilaterals have four equal sides."

Step-by-step explanation:

This statement is only true for a square since as we all know it has four equal sides, but a rectangle has two parallel sides that are equal to each other but on the other two parallel sides, they must differ in length.

Answer:

"Both quadrilaterals have four equal sides." is the false statement

Step-by-step explanation:

Write an equivalent expression for k + k + z + z + z

Answers

Answer:

2k + 3z

Step-by-step explanation:

k + k + z + z + z

2k + 3z

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