For the most recent year available, the mean annual cost to attend a private university in the United States was $50,900. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,500. Ninety-five percent of all students at private universities pay less than what amount

Answers

Answer 1

Answer:

95% of all students at private universities pay less than $58,302.5.

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 $50,900, standard deviation of $4,500

This means that [tex]\mu = 50900, \sigma = 4500[/tex]

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

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

[tex]1.645 = \frac{X - 50900}{4500}[/tex]

[tex]X - 50900 = 1.645*4500[/tex]

[tex]X = 58302.5[/tex]

95% of all students at private universities pay less than $58,302.5.


Related Questions

A number more than nine is more than twenty.

write as an inequality

Answers

Answer:

I think it is 20 < x > 9. But I am not completely sure.

I need help please!!

Answers

Answer:

Sorry I could only find the answer to the second part.

y=56x

Can someone help me please

Answers

9514 1404 393

Answer:

  {Segments, Geometric mean}

  {PS and QS, RS}

  {PS and PQ, PR}

  {PQ and QS, QR}

Step-by-step explanation:

The three geometric mean relationships are derived from the similarity of the triangles the similarity proportions can be written 3 ways, each giving rise to one of the geometric mean relations.

  short leg : long leg = SP/RS = RS/SQ   ⇒   RS² = SP·SQ

  short leg : hypotenuse = RP/PQ = PS/RP   ⇒   RP² = PS·PQ

  long leg : hypotenuse = RQ/QP = QS/RQ   ⇒   RQ² = QS·QP

I find it easier to remember when I think of it as the segment from R is equal to the geometric mean of the two segments the other end is connected to.

__

  segments PS and QS, gm RS

  segments PS and PQ, gm PR

  segments PQ and QS, gm QR

True or False: 53 = 15

Answers

Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.

The radius of a circleIs 3 inches what is the circles area

Answers

Answer:

28.27

Step-by-step explanation:

area of circle: πr^2

π(3)^2

=9π = 28.27

divide 5/8 3/4 in the most simple form

Answers

Answer:

15/32

3/4 x 5/8 = 15/32 in fraction form.

Step-by-step explanation:

What is the answer I need to know

Answers

Answer:

Arrange your numbers in numerical order.

Count how many numbers you have.

If you have an odd number, divide by 2 and round up to get the position of the median number.

If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.

pls and this question​

Answers

Answer:

-4

Step-by-step explanation:

that number cannot be simplified

Which relation is a function?

A. {(0, 1), (0, 2), (1, 2), (1, 3)}
B. {(8, 1), (4, 1), (0, 1), (–15, 1)}
C. {(–2, –12), (–2, 0), (–2, 4), (–2, 11)}
D. {(–4, –6), (–3, –2), (1, –2), (1, 0)}

Answers

a is a function
expiation:

Jessica's school bus stop is 60 yards from her house. For a normal school week, how many feet will Jessica walk to and from the bus stop.

Answers

Answer:

1,800 feet

Step-by-step explanation:

Assuming that the normal school week is 5 days, she will walk for 5 days to and from. Each day she will walk 120 yards to and from the stop. Multiply that number by 5 and you get your answer of 600 yards. The answer is wanted in feet, so you have to consider yards to feet conversions. 1 yard is three feet. Therefore, you multiply 600 by 3 and you get your answer in feet.

PLEASE HELP. I NEED TO GET THIS RIGHT

Answers

Ciro is right

Gerard is wrong

Gunther is also wrong

Equal expression:

1 - 2(40x - 12)

Find the GCF of each pair of monomials.

1. 20, 45x

2. 15r, 25

3. 8xy, 14x

4. 16mn, 24m

5. 25f, 60g

6. 33c, 55cd​​

Answers

1. 5
2. 5
3. 2x
4. 8m
5. 5
6. 11c

Solve For X (I could use some help because I'm confused on this)​

Answers

Answer:

X=10

Step-by-step explanation:

The arc is twice the angle, so 130.

12x+10=130

12x=130-10

12x=120

x=10

Write the fraction product of a whole number and a unit fraction.
5/12

Answers

Answer:

5*1/12

Step-by-step explanation:

I don't know if this is right but hopefully it is ^^"

HELP HELP HELP ME PLEASE-

Answers

i’m pretty sure it’s b i apologize if it’s not

the answer is C or E lol because it's asking I've you put > in between both of them which one would be wrong if you put > in between them I look over them it would be c or e

Help fast please....

Answers

Answer:

46 yd²

Step-by-step explanation:

A quadrilateral has one pair of parallel sides with lengths 134 inches and 114 inches, and two angles that each measure 36°.

Answers

Answer:

Explanation:

1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.

2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.

An isosceles trapezoid is truncated isosceles triangle.

The definition of trapezoid is a quadrilateral with at least two parallel sides.

The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.

The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?

Answers

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

Answer:

d) x^2+14x+40

Step-by-step explanation:

You gotta multiply (x + 4)(x + 10)

True or False.

The expressions 3+y and 13(6+y) are equivalent?



True

False

Answers

Answer:

False

Step-by-step explanation:

Brainliest please?

What is the equation of an exponential function?
1)y=mx+b
2)a=b+c
3)y=a (b)^x
4)y=ax^2+bx+c

Answers

The is answer is choice 3

What is 8 x 7/8 in a fraction ​

Answers

Answer:

7/8 x 8 = 56/8 as simplified as 7/1 in fraction form.

Step-by-step explanation:

Hope it helps :)

6 3/4 divided by 2 5/8 in the simplest form?​

Answers

Answer:

6 6/8

2 5/8

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

2.57142857143

or 2 57/100

Step-by-step explanation:

sorry if this is wrong

Answer:

there hope this helps I tried


What is the next number in the following geometric sequence? *

{1, 3, 9,...}

A 3
B 27
C 2
D 1

Answers

Answer:

B. 27 Is the answer

Step-by-step explanation:

hope it helped u

hey guys i need some help on this division problem i have

Answers

Answer:

3. 25/28

4. 1 1/7

Step-by-step explanation:

when you divide fractions just flip one of them and then multiply across

so instead of 5/7 ÷ 4/5 its

5/7 • 5/4

please mark me brainliest to help me get ace rank

Need help on this question!
Award brainliest!!!
Thanks!

Answers

Answer:

Quintrell's number is 9.

Step-by-step explanation:

Let [tex]x[/tex] be equal to Quintrell's number.

"When 35 is added to my number, the answer is 4 times my original number plus 8."

[tex]35+x=4x+8[/tex]

Subtract both sides by [tex]x[/tex]

[tex]35+x-x=4x+8-x\\35=3x+8[/tex]

Subtract both sides by 8

[tex]35-8=3x+8-8\\27=3x[/tex]

Divide both sides by 3

[tex]\frac{27}{3} =\frac{3x}{3} \\9=x[/tex]

Therefore, Quintrell's number is 9.

I hope this helps!

3 Convert 6,23 kg to grams​

Answers

Answer:

6230 grams xD

Step-by-step explanation:

6230 grams..

( it says i have to write 20 letters so i just did this)

what expression is equivalent to 2(x-4)+x

Answers

Step-by-step explanation:

2(x-4) + x

= 2x-8 + x

= 3x - 7

PLEASE HELP MEEE
I will give a crown to the right answer

Answers

your answer is b. hope this helps!

Kelly flies a distance of 2,100 miles. the trip takes 4 2/3 hours
what is the airplanes unit rate of speed in miles per hour?

at this rate of speed, how many miles the airplane travel in 1 1/2 hours?

Answers

Answer: A=450

Step-by-step explanation:

I don't know answer to this problem?

Answers

There is no picture or context
If you put a picture or explain I could of maybe help you!!!
Other Questions
Give an example of interspecific competition. pls helpppppppppppp! 10) Which of the following is TRUE about low self-concept?A) Athletes found with low self-concept should consider getting help.B) Athletes with low self-concept tend to have a relationship with injuries.C) Athletes with low self-concept are less able to deal effectively with the high stress of competition & pressure tosucceed.D) All of the above are true about low self-concept. When we multiply the second equation by two, what is the resulting equation?2(5x2y=8) Traits that are determined by more than one gene are called what? 3. What two rights wereAfrican-Americansgranted? Please help, will give brainliest!Which economic development occurred in Louisiana during World War II?A) Garbage removal businesses scaled back their operationsB) Total bank deposits within the state topped the $1 billion markC) A surplus of workers reduced the usage of farm machinesD) Planters decreased their output in an effort to raise crop prices In IJK, k = 64 inches, j = 17 inches and J=68. Find all possible values of K, to the nearest 10th of a degree. A store sells a package of 3 notebooks for $2. The point on the graph represents this ratio relationship. Which ordered pairs represent equivalent ratios that would also be on the graph? Choose all the correct answers. A (4, 6) B (6, 4) C (9, 6) D (12, 8) E (15, 9) F (16, 12) Which sentence best summarizes the central idea of this story? Most people turn to newspapers for information about what?A. Classified adsB. Local informationC. TV listingsD. Sports scores The intercepts of the line Y=-2x-21 Which of the following is an accurate description of relations between European states and the Ottoman Empire in the period 1815 to 1914?a. Russian, English and French expansion came at the expense of the Ottomansb. The Ottomans and French cooperated to colonize North Africac. The Ottomans supported nationalism in the Balkans to destabilize Europed. The Ottomans alliance with the Russians, English and French sought to impede German unification Solve |3x + 9| + 6 = 6 Question 4 options: A) x = 3 B) x = 3 or x = 3 C) No solutions D) x = 3 Which is a unicellular fungus? A Slime mold B Mushroom C Yeast D none of these A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the ratio in three different ways. Do not simplify the ratios. Enter the correct answers in the boxes. Please help! Will give Brainliest. (Photo below) Which system of equations is best represented by the graph? If my pay rate is $9 an hour and I worked 7 hours and 45 minutes. How much money did I make? What is the Vertex?y = x - 8x-1