g Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score

Answers

Answer 1

Answer:

69

Step-by-step explanation:

Answer 2

Answer:

Z score=2.46.

Step-by-step explanation:

The Z score for sample mean $31,650 can be computed by using following formula

[tex]Z=\frac{xbar-Population mean}{\frac{sigma}{\sqrt{n} } }[/tex]

Here, sample mean=xbar=31650

population standard deviation=sigma=3339

population mean=29056

and sample size=n=10.

[tex]Z=\frac{31650-29056}{\frac{3339}{\sqrt{10} } }[/tex]

[tex]Z=\frac{2594}{1055.885}[/tex]

Z=2.4567

Z=2.46 (rounded to two decimal places).

Hence the resultant z-score is 2.46.


Related Questions

Rafael wrote expressions equivalent to 8 using square roots and cube roots. All of the following could be one of Rafael’s expressions except:

Answers

Answer:

it's c

Step-by-step explanation:

Answer:

C.

[tex] \sqrt[3]{64} \times \sqrt[3]{8} [/tex]

(-1/3)-(-9/5) to the lowest term

Answers

Answer:

Step-by-step explanation:

-1/3 + 9/5

-3/15 + 27/15

24/15 = 8/5 = 1 3/5

A school installs a ramp that will rest on a landing 2 feet high. The ramp is 24 feet long. According to building code, the ramp must not be greater than a 5° angle with the ground. What is the angle formed from the ground? Is the school in compliance with the building code? Group of answer choices

85degree; no


3degree; yes


5degree; yes


8degree; no

Answers

Hey there! I'm happy to help!

Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the [tex]sin^-^1[/tex] to give the the angle.

[tex]sin^-^1(2/24)=4.780191847....[/tex]

This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.

Have a wonderful day! :D

WHICH DECIMALS ARE REPEATING DECIMALS?
A. 0.375
B. 3.44
C. 4.95

Answers

The answer is B. 3.44

Should the painter use stencil one or stencil two for her project? Why? Explain in terms of rigid transformations.

Answers

Answer: The painter should use stencil one for her project because a series of rigid transformations maps stencil one to the original pattern. The shapes are the same because you don’t have to deform stencil one to match the original shape.

Step-by-step explanation:

i just got a 100

Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.

Please include the Variable, Equation, and the Solution​

Answers

Answer:

Ms. Bailey purchases 6 children tickets

Step-by-step explanation:

x=number of adult tickets

y=number of children tickets

10x+6y=46

plug in what you know

10(1)+6y=46

10+6y=46

subtract 10 from both sides

6y=36

divide both sides by 6

y=6

6 children tickets

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit

Answers

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

The Cubs have won
7 out of their last 11
games. What's the
ratio of games lost to
games played?

Answers

First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.

Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.

I hope you find this helpful :)

5x + y = 12

Solve for y plz

Answers

Answer:

i think 7

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

cuz in this you have to move the 5 from the 12 can i have brainleyist

Which best describes what is happening in section B

Answers

Answer:

Jamal is traveling at a constant speed.

Step-by-step explanation:

because it's a line going straight and not down.

PLSS HELPPP 20 POINTS

Which of the following is the best way of selecting a random sample from students at King
Middle School?

a) Use the student directory, toss a number cube, start from that name, and select every tenth person.

b) Select every student from one grade.

c) Use the student directory, pick one student's name by chance, and then pick another student's
name.

d) Pick every tenth person who arrives at school by bus.

Answers

Answer:

a

Step-by-step explanation:

just did it

Answer:the 2nd one is the answer it's easy I just did it :

SD and SG are tangent to ⊙ K. Identify SG. HELP!!

Answers

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

A total of 587 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

'325 adult tickets' is the ACTUAL answer

Step-by-step explanation:

I am editing this because I made a mistake beforehand

Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,

2x-63=587

Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets

what is 2*2 please answer this question

Answers

Answer:

4

Step-by-step explanation:

Answer:

5-1

Step-by-step explanation:

Is Nora or Sofia correct? Explain your reasoning.

Answers

Answer:

  Nora is correct

Step-by-step explanation:

Sophia used an appropriate method for computing the value of the repeating decimal fraction ...

  0.1212_12

Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.

Nora is correct in saying Sophia made a mistake.

___

Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:

  [tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]

However, the decimal does not repeat, so this does not work:

  100x = 12.1121112

  100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating

That is, the decimal part is not cancelled by Sophia's work, as we said above.

is -4 greater or lesser than 0

Answers

Answer:

-4 is lesser than 0

Step-by-step explanation:

A regulation baseball field measures 90 feet between each base. what is the distance around the bases in meters?

Answers

Answer:

27.43 meters in between each base, 109.72 around all the bases.

Step-by-step explanation:

There are 0.3 meters in one foot, so 0.3 x 90= 27.43. 27.43x4=109.72

Find the unknown angles.​

Answers

Step-by-step explanation:

70°+70°+a°=180°

a°=180°-140°

a°=40°

p°=70° (vertically opposite angle)

q°=70°(alternate interior angles)

hope it helps

Write the sentence as an equation 175 is equal to 182 multiplied by g

Answers

175=182g i hope this is right

5x + 3y = 25 & x - 3y = 15.

Answers

Answer:

x = 20/3

Step-by-step explanation:

HELP!

Write an equation to represent: The cost of buying lemonade stand supplies is $0.50 per cup, $5 for ingredients, with a total cost of $30.

Answers

Answer:

$0.50x+5=30

Step-by-step explanation:

maf

factorize : 8a³-b³​

Answers

Step-by-step explanation:

8a^3 - b^3

= (2a)^3 - b^3

= (2a -b) (4a^2 + 2ab + b^2)

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be rewritten as,

8a³ - b³​

= (2a)³ - b³

It is known that x³-y³​ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,

= (2a)³ - b³

= (2a - b)[(2a)² + (2a × b) + b²]

= (2a - b)(4a² + 2ab + b²)

Hence, the given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

Is 3.14596387 a rational number?

Answers

no it is an irrational number

Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 67% in the class after 9 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.

Answers

Donovan needs to earn at least a 73% in order to have a 70%

9. What is the angle of rotation for the following figure?
HELP
HELPPP

Answers

Answer:

90° im pretty sure is the correct answer

90 is the correct I’m pretty sure

a principal square root is always...

Answers

Answer:

a principal square root is always positive

Step-by-step explanation:

When you take a square root of a number, you get a positive and negative number

The principal square root is the positive number

True, this is the answer oof

Marsha bought a pencil for $2.81 and a drink for $3.67. She paid with a $20 bill. How much change should Marsha have received?

Answers

Answer:13.52

Step-by-step explanation:2,81+3.67=20-6.48=13.52

Solve for x (see image)

Answers

Answer:

x = 18

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 24^2 = ( 12+x)^2

FOIL the right side

x^2 +576 = 144 + 24x + x^2

Subtract x^2 from each side

576 = 144 + 24x

Subtract 144 from each side

576-144 = 24x

432 = 24x

Divide each side by 24

432/24 = 24x/24

18=x

What is 16/6 as a decimal?

Answers

To get 16/6 converted to decimal, you simply divide 16 by 6.

8=3/2(9x-6) and explain

Answers

Exact Form: 34/27

Mixed Number Form: 1 7/27 (one and seven twenty-sevenths)

Decimal Form: 1.259... (never ending)

Isolate the variable by dividing each side by factors that don't contain the variable.

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