The mean undergraduate cost for tuition, fees, room, and board for four-year institutions was $26,489 for a recent academic year. Suppose that the standard deviation is $3204 and that 36 four-year institutions are randomly selected. Find the probability that the sample mean cost for these 36 schools is Less than $25,000

Answers

Answer 1

Answer:

0.00265

Step-by-step explanation:

We solve using the z score formula

z = (x-μ)/σ/√n

where

x is the raw score = $25,000

μ is the population mean = $26,489

σ is the population standard deviation = $3204

n = random number of samples = 36

For x < 25,000

z = 25000 - 26489/3204/√36

z = 25000 - 26489/3204/6

z = -1489/534

z = -2.78839

Probability value from Z-Table:

P(x<25000) = 0.0026485

Approximately = 0.00265

The probability that the sample mean cost for these 36 schools is Less than $25,000 is 0.00265


Related Questions

I need help 6 . x = 42​

Answers

Answer:

7

Step-by-step explanation:

42 divided by 6

Answer:

Step-by-step explanation:

In a standard Normal distribution, what percentage of observations lie above z = 0.16?

14.46%
43.64%
56.36%
85.54%

Answers

Answer:56.36

Step-by-step explanation:

The percentage of observations lying above z = 0.16 will be 56.36%. Then the correct option is C.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The percentage of observations lie above z = 0.16 will be given as,

⇒ P(z < 0.16) x 100

⇒ 0.5636 x 100

⇒ 56.36%

The percentage of observations lying above z = 0.16 will be 56.36%. Then the correct option is C.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ2

You have 7/5 gallons of juice and want to fill cups that hold 1/10 of a gallon. How many cups can you fill?

Answers

Answer:

14 cups

Step-by-step explanation:

Amount of juice had = 7/5 gallons

Cup to fill = 1/10 gallons

We can therefore write;

1cup = 1/10 gallons

x cups =7/5 gallons

ross multiply

1/10 x = 7/5

x/10 = 7/5

70 = 5x

x = 70/5

x = 14

Hence 14 cups cam be filled

helppppppppppppppppp​

Answers

Answer:

library-6

auditoriam-54

Is (7. - 1) a solution of y = x -8?
Yes

No

Answers

Answer:

Yes

Step-by-step explanation:

Substitute the x and y values in for x and y to check.

-1 = 7 - 8

-1 = -1

In this instance, (7, -1) is a solution of y = x - 8.

theo's family is planning a trip to redwood national park.The total driving distance is 750 miles . They plan to travel an equal distance on each 5 days. How many miles will the drive each day?

Answers

Step-by-step explanation:

5 days = 750 miles

=> 1 day = 750 / 5 = 150 miles.

Theo's family will drive 150 miles per day.

4X + 11 < -21 graph represents

Answers

Answer:

The graph of y = 4x - 11 is translated up 8 units. Which equation represents the translated graph? f y = 4x - 19 g y = 4x - 3 h y = 12x - 11 j y = 12x - 3

Answer: x=-8.   (graph with open circle going left from -8 for khan academy)

Step-by-step explanation:   -21-11<-32

4x>-32

x<-8

What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11

Answers

Answer:

21 because I serch it up I believe

Mattie Evans drove 200 miles in the same amount of time that it took a turbo propeller plane to travel 800 miles. The speed of the plane was 150 mph faster than the speed of the car. Find the speed of the plane.

Answers

Answer:

200mph

Step-by-step explanation:

Speed is expressed using the expression

Speed = Distance/Time

For Mattie

Distance = 200miles

Speed = x

Time taken by mattie = Distance/speed

Time taken by mattie = 200/x ... 1

For the propeller plane:

Distance = 800miles

Speed = x+150 (The speed of the plane was 150 mph faster than the speed of the car)

time taken by the plane = 800/x+150

Since Mattie took the same amount of time that it took a turbo propeller plane to travel, then we will equate both expressions as shown:

200/x = 800/150+x

Cross multiply

800x = 200(150+x)

800x = 30,000 + 200x

800x-200x = 30,000

600x = 30,000

x = 30,000/600

x = 50

Get the speed of the plane

Since the speed of the plane is 150+x

Speed of the plane = 150+50

Speed of the plane = 200mph

50% SHADED TRUE OR FALSE

Answers

Answer:

yes

Step-by-step explanation:

Math whizzes assemble! this is a tough one, this is a question on my study guide its a screenshot, any help would be appreciated.

Answers

Answer:

y = 49

x = 15

Step-by-step explanation:

The angle is 90 degrees and on one side of the bisector is 41 so to find y all you have to do is 90 - 41 = 49

(7x + 13) + (2x - 9) + 41 = 180

add like terms -     9x + 45 = 180

subtract -               9x = 135

Divide -                    x = 15

Anyone know how to solve for x and y on this problem?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ 6\ and\ y \ is\ (-21) .}}}[/tex]

Step-by-step explanation:

In the Question , its given that ∆ART [tex]\cong[/tex] ∆ DFI . And we need to find the values of x and y . So we know that ,

If two triangles are congruent then their Corresponding angles and sides are equal.

Hence here in ∆ ART & ∆ DFI :-

AT = DI ( cpctc)AR = DF ( cpctc)

[tex]\bf\implies AT = DI \\\\\bf\implies 6x + 31 = 67 \\\\\bf\implies 6x = 67 - 31 \\\\\bf\implies 6x = 36 \\\\\bf\implies x =\dfrac{36}{6}\\\\\bf\implies \boxed{\red{\bf x = 6}}[/tex]

Hence the value of x is 6 .

[tex]\rule{200}2[/tex]

[tex]\bf\implies AR = DF \\\\\bf\implies -4y+19 = 103\\\\\bf\implies -4y = 103-19 \\\\\bf\implies -4y = 84 \\\\\bf\implies y =\dfrac{84}{-4}\\\\\bf\implies \boxed{\red{\bf y = -21}}[/tex]

Hence the value of x is 6 and y is (-21) .

Solve the inequality

Answers

Answer:

x ≥ 98

[tex]\frac{x}{7}\ge \:14[/tex]

[tex]\frac{7x}{7}\ge \:14\cdot \:7[/tex]

[tex]x\ge \:98\\[/tex]

I hope this helps:

Answer:

the answer is A x>_98

Step-by-step explanation:

just trust me. hoped I helped:)


Winter coats are marked 70% off on February 1st. If a coat originally costs $57.70, how much will it cost on sale?

Answers

Answer:

40.39

Step-by-step explanation:

70% of 57.70

70x57.7/100 =4039/100 = 40.39

The coat will cost 40.39 on sale

If X=3 and y=3, then x =?

Answers

Answer:

3

Step-by-step explanation:

You said x=3

Answer:

if the answer isn't 3 then its 1

How does a 90° counterclockwise rotation about the origin change the coordinates of a shape

Answers

Answer:

Step-by-step explanation:

it switches the x and y coordinates and places a negative on the new x

P=(x,y)

90° CCW rotation P'(-y,x)

Answer:

it switches the x and y coordinates and places a negative on the new x

P=(x,y)

90° CCW rotation P'(-y,x)

Step-by-step explanation:


Helpppp meee (10 points )

Answers

The answer:
122


Explanation:
Do you need one ?

How do you write the unit rate for 1/5÷1/15

Answers

Answer:

3

Step-by-step explanation:

1/5 / 1/15 = 3

20 POINT!!!!!!!11PLEASE HELP!!!!!

A sphere is a three-dimensional geometric figure, hollow or solid, contained by a continuously round surface that is equidistant from its center. The maximum capacity of a sphere is calculated with the formula, where V = volume, and r = radius. For a sphere with a maximum capacity of 1,372pi/3 cubic millimeters, the diameter measures millimeters.

Answers

Answer:

14 millimeters

Step-by-step explanation:

V=(4/3)πr³

1372π(1/3)=(4/3)πr³

1372=4r³        (cancel out the pi and multiply both sides by 3)

r³=343

r=7

Diameter is twice the radius = 2(7) = 14

What the person above me said

8+3(p-9)
Pleaseeee helppp

Answers

Answer:

3p - 19

Step-by-step explanation:

8 + 3(p - 9)

Distribute;

8 + 3p - 27

Collect like terms;

-19 + 3p

3p-19 by using addition and the distributive property

Trigeomentry need help asp about to fail

Answers

Let me do ur work for you and I’ll make u get a A+

Write the phrase as an Expression

The product of 6 and a number lll

Answers

Answer:

DURING PUBERTY

its ture

Lily sells loose tea for $0.71 per gram. If one gram is equivalent to 0.035273 ounces, how much does it cost to buy 0.45 pounds of Lily's tea?

a $108.70
b. $144.93
с. $536.77
d. $715.69

Answers

Answer:

it is B. 144.93 on edge my friends

Step-by-step explanation:

cause i know so

Round 0.381 to the nearest hundredth.
0.3
0.38
0.4
0.39

Answers

Answer:

0.38

Step-by-step explanation:

Answer:

0.38

Step-by-step explanation:

Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form

I need help​

Answers

Answer:

3/5, 4/5, 3/4

Step-by-step explanation:

First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4

The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Calculation of the sine, cosine, and tangent:

Here first we determine the BC by applying the Pythagorean Theorem.

[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]

So the BC should be 12

hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].

Learn more about an angle here: https://brainly.com/question/3401487

NEED HELP AILL GIBE 20 point...

Answers

9514 1404 393

Answer:

  36°

Step-by-step explanation:

BY bisects angle B, which has a measure of 72°. That means angles 3 and 4 are each half of 72°, or 36°.

  m∠4 = 36°

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 396 grams with a variance of 441. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal.

Required:
State the null and alternative hypotheses.

Answers

Answer:

We reject H₀

Step-by-step explanation:

Normal Distribution with  n  = 22   ( sample size)

n<30 we need to use a t-student distribution

Sample mean  μ =   396        

Population mean  ( required mean )  μ₀  = 405

Sample variance is  441 then sample standard deviation s = √441

s  =  21

Hypothesis Test

Null Hypothesis                                          H₀         μ   =   μ₀

Alternative Hypothesis                               Hₐ       μ   <   μ₀

Significance level   α = 0,1    

The test is a one-tail test to the left

From t-student table we find for  t(c)

degree of fredom     df  = 22 -1       df  =  21

and  α = 0,1           t(c)  =  - 1,3232

To compute t(s)

t(s)  =  ( μ  -  μ₀ ) / s /√n

t(s)  =  ( 396  - 405 )*√n / 21

t(s)  =  - 9 *4,69 /21

t(s)  =  -  2,01

Comparing

t(s) and  t(c)          - 2,01     and   - 1,3232

|t(s)| > |t(c)|   then   t(s) is in the rejection region we must reject H₀

You are your friend are playing a game where you flip a coin and roll a fair four-sided die.

Answers

What about it?????????

Answer: is this the best ratio question

Step-by-step explanation:

pls help due in 2 mins

Answers

Answer:

Good luck

Step-by-step explanation:

Answer:

272 is the correct answer

Step-by-step explanation:

I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!

Hope this Helps! :)

Triangle IHJ is similar to triangle RST.
What is the length of side _
RT

Answers

6 mm

Set up a proportion of 12/9=8/x. Cross multiply and this gives us 12x=72. Now divide both sides by 12 and you get 6.
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