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
AleksandrR [38]
1 year ago
5

the average starting salary for this year's graduates at a large university (lu) is $55,000 with a standard deviation of $6,000.

furthermore, it is known that the starting salaries are normally distributed. individuals with starting salaries of less than $39,600 receive a low income tax break. what percentage of the graduates will receive the tax break?
Mathematics
1 answer:
alexira [117]1 year ago
7 0

0.84% of the graduates will receive the tax break

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = x - μ / σ

Z-scores are used to measure how far a measure is from the mean. We find the p-value associated with this Z-score by looking at the z-score table after finding the Z-score. The p-value represents the probability that the measure is smaller than X, which is the percentile of X. The probability of the measure being greater than X is calculated by subtracting 1 from the pvalue.

μ = $55,000 σ = $6,000

This is the pvalue of Z when X = $39,600. So

z = 39600 - 55000 / 6000

z = -2.5

z = -2.5 has a o value of 0.0084

0.84% of the graduates will receive the tax break.

To learn more about similar tax break:

brainly.com/question/15563518

#SPJ4

You might be interested in
El equipo mixto de fútbol tiene cuatro veces más niños que niñas. Decimos quela razón del número de niños
makvit [3.9K]

Answer:

4 a 1

Step-by-step explanation:

Se lee "4 a 1"

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%28-60%29-3x%5E3-33x%2B24%20x%5E%7B2%7D%20" id="TexFormula1" title="(-60)-3x^3-33x+24 x^{2} "
soldi70 [24.7K]
First you want to reduce the brackets
Next you want to factor out the common number 3
Next you want to factor 20 + x^3 + 11x - 8x^2 by using the polynomial division method/technique 
Lastly you just factor x^2 - 9x + 20 to get the answer.

Yes you are correct, the solutions are 1, 4, and 5.
6 0
3 years ago
Point A is located at (-2, -6) and is translated 4 units up. What are the coordinates of point A'?
defon

Answer:

(-2, -2)

Step-by-step explanation:

Red point represents (-2,-6) while blue point represents (-2,-2). count the numbers upward and it'll be 4 units. Best thing to do in this problem is to plot the given points and go from there.

4 0
2 years ago
Read 2 more answers
Which number(s) below belong to the solution set of the inequality? Check all that apply.
ValentinkaMS [17]
X=28
4x=112
/4     /4
x = 28
8 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!! I'M BAD AT GEOMETRY!!!
7nadin3 [17]

Answer:

Manuel would be correct, the volumes would be equal.

Step-by-step explanation:

The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by \frac{1}{3}).

Square pyramid formula: \frac{1}{3}×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159×\frac{1}{3}×5=523.5983.

Cone formula: The basic formula is the same: \frac{1}{3}×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159×\frac{1}{3}×5=523.5983.

Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.

7 0
3 years ago
Other questions:
  • Alice's book has 200 Pages. Alice has read 75% of the pages in her book. Nina has read the same number of pages the only 50% of
    13·1 answer
  • 50 apple's cost $25. How much would 75 apples cost?
    15·1 answer
  • Lita has a coin with heads on one side and tails on the other side. She is going to flip it in the air three times. What is the
    10·2 answers
  • What 2divided by one third is​
    9·2 answers
  • HELP ^^^^ ignore what i picked it was an accident
    7·1 answer
  • A rectangle has a height of 5x and a width of x+2 express the area of the entire retangle
    8·1 answer
  • A. Factor the polynomial: x^5-4x^3+8x^2-32<br> b. Solve by factoring: 2x^2-3x+1=0
    6·1 answer
  • Which choice shows how to find the least common multiple of 9
    12·1 answer
  • Please answer these questions: are they rational or irrational numbers?
    11·1 answer
  • Please answer both questions right answers get ✨brainlest!✨
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!