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
KonstantinChe [14]
3 years ago
14

Suppose the salaries of university professors are approximately normally distributed with a mean of $65,000 and a standard devia

tion of $7,000. If a random sample of size 25 is taken and the mean is calculated, what is the probability that the mean value will be between $62,500 and $64,000
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

0.2009

Step-by-step explanation:

Mean(μ) = 65000

Standard deviation (σ) = 7000

n = 25

Let X be the random variable which is a measure of salaries of university professors

Z = (μ - x) /σ/√n

Pr(62500 ≤ x ≤ 64000) = ???

Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)

= Pr(2500 / 7000/5 ≤ z ≤ 1000 / 7000/5)

= Pr(2500 / 1400 ≤ z ≤ 1000/1400)

= Pr(1.79 ≤ z ≤ 0.714)

= Pr(0 ≤ z ≤ 1.79) - Pr(0 ≤ z ≤ 0.714)

From the normal distribution table we have

0.4633 - 0.2624

= 0.2009

You might be interested in
A liter is equal to 100 centiliters.Is a centiliter a greater measure than a milliliter. Explain
borishaifa [10]
Yes. It takes more milliliters than centiliters to fill a liter.
6 0
4 years ago
Read 2 more answers
can anyone help tech me how to solve for tax and tip. im going to 6th grade and trying to get into the advanced group but I don'
baherus [9]

If something isn't clear or you're still confused about, let me know in the comments.

Step-by-step explanation:

Okay, here's my best try.

Suppose you have a bill for $8.45

If you are asked to add, say, 8% tax, you must calculate 8 percent of 8.45 and then add it to 8.45.

Begin by converting 8% to decimals by dividing by 100.

\frac{8}{100}=0.08 8% is 0.08 in decimal form.

To calculate a percentage of a number, you multiply the decimal percent by the number; example:

0.08(8.45) 8.45 is being multiplied by 0.08. The result is: 0.676. (this is the tax; however you have to round up to two decimal places: $0.68)

After finding the tax amount, if you are asked to add it to the bill, you have to add it to the original bill; in this case, $8.45

This would be: 0.68+8.45=9.13.

Therefore, the total bill after tax is for $9.13

----------------------------------------------------------------------------------------------------

With tips is the same thing, however, you can have 2 situations.

Situation 1: You are asked to calculate 15% tip of total bill.

In this situation, you can do the same we do to calculate tax.

Convert the percentage to decimal by dividing by 100.

\frac{15}{100}=0.15

and multiply it by the original bill.

0.15(8.45)=1.2675. Rounding up, this would be $1.27 for tip.

If you were to add it to the original bill, simply sum.

8.45+1.27=9.72

The total bill after tips is for $9.72

Situation 2: You are asked to calculate 15% tip of the total bill with a tax of 8% included.

In this situation, you must first calculate the total bill with the tax added, like we did above; we got a bill for $9.13 (Tax included)

Then you can calculate 15% tip of this new bill that has tax included.

Convert

\frac{15}{100}=0.15

Multiply by the new bill (because this is the one that includes tax)

0.15(9.13)=1.3695 Round up.... $1.37 for tips.

If you are asked to give a total amount of money including tax and tips, add this to the bill.

9.13+1.37=10.50

This bill would be for $10.50

3 0
3 years ago
Dylan is wrapping a birthday present for his sister. The box the gift is in has a length of 6 inches, a width of 5 inches, and a
alexandr1967 [171]
24 in x 25 in


Or

24 in by 25 in
7 0
4 years ago
Read 2 more answers
List all the factors of 14 from least to greatest. Enter your answer below,
Tasya [4]

Answer:

1, 2, 7, 14

Step-by-step explanation:

14 is a composite number. 14 = 1 x 14 or 2 x 7. Factors of 14: 1, 2, 7, 14.

8 0
3 years ago
HELPPP PLEASE HELP ASAPPP
34kurt

Answer:

okay just call my personal phone number it is (911) i hope that it make u feel better

7 0
3 years ago
Read 2 more answers
Other questions:
  • Henry takes out a $650 discounted loan with a simple interest rate of 12% for a period of 7 months. How much money does Henry re
    11·1 answer
  • Which expression is equivalent to 2(6v)
    5·1 answer
  • Simplify this expression.
    5·2 answers
  • What is 2×1+2(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B6%7D%20" id="TexFormula1" title=" \frac{3}{6} " alt=" \frac{
    14·2 answers
  • A) Pentágono de 3 cm de lado y 2,1 cm de apotema.
    15·1 answer
  • 25+ POINTS WILL MARK BRAINLIEST
    14·2 answers
  • Kristina owns a local bakery and sells boxes of cannolis. Each box contains 9 cannolis. If she sells 6 boxes of cannolis by clos
    12·1 answer
  • Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
    12·1 answer
  • A square field has an area of 479 A2. What is the approximate length of a side of the field? Give your answer to the nearest foo
    10·1 answer
  • Angle A and B are supplementary angles. If m angle A = (6x + 10) and m angle B = (4x + 30), then find the measure of angle B.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!