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 are rounded to the hundredths place.

Answers

Answer 1

Answer: The z-score = 2.46

Step-by-step explanation:

Given:  sample size : n= 10

Population mean : [tex]\mu= 29056[/tex]

population standard deviation : [tex]\sigma= 3339[/tex]

Sample mean : [tex]\overline{x} = 31650[/tex]

Formula to calculate z :

[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Substitute all values, we get

[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]

Hence, the z-score = 2.46


Related Questions

I need help pleaseeee

Answers

Answer:

6mn

Step-by-step explanation:

Let the value we are finding be “box.” We can divide both sides by (3m - 4) to isolate box on one side. We get:

box = (18nm^2 - 24mn)/(3m - 4)

Note that we can factor out 3m - 4 in the numerator and cancel it with the denominator. (18nm^2 - 24mn)/(3m-4) = (3m-4)(6mn)/(3m-4) = 6mn.

I hope this helps! :)

Answer:

6mn

firstly divide both the sides with 3m-4

by letting the missing place as" x"

Step-by-step explanation:

take 6mn common from 18m square n - 24mn

you will get 3m- 4 left which get crossed with 3m- n and the value of x will be 6mn

Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it ​

Answers

Answer: This is a tough question

Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D

Step-by-step explanation:

Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Answers

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

which of the following is a quadratic function?

Answers

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

Aden started with 6 cups of water. Throughout the day he drank the following amounts: 1 1/3 cups, 1 1/2 cups, 1 2/3 cups, and 3/4 cup. How many cups of water are left?
A. 2/3
B. 3/4
C. 1 1/3
D. 1/4

Answers

Answer:

B. 3/4 cup of water

Step-by-step explanation:

1 1/3 + 1 1/2 + 1 2/3 + 3/4 = 5 1/4

6 - 5 1/4 = 3/4

Answer: B or 3/4

Step-by-step explanation:

ok first add all the amounts he drank together

1 1/3 + 1 1/2 + 1 2/3 + 3/4

because the denominators are all different, you have to change them to a common denominator, which is 12. i've also changed them to improper fractions.

1 1/3 = 4/3 = 16/12    1 1/2 = 3/2= 18/12    1 2/3 = 5/3= 20/12   3/4 = 9/12

now add them all together

16/12 + 18/12 + 20/12 + 9/12 = 63/12

now convert the original 6 cups to an improper fraction with the denominator of 12

6 = 72/12

now subtract 63/12 (the amount he drank) from 72/12 (the amount he started with)

72/12 - 63/12 = 9/12

9/12 is able to be simplified to 3/4

so the correct answer is B, or 3/4

The largest prime number that is a factor of 35 is multiplied by the smallest prime number

Answers

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

7. Marsha has three times as many quarters as she does nickels. She has a total of $3.20. How
many of each coin does she have?
A. 2 quarters and 6 nickels
B. 12 quarters and 4 nickels
C. 8 quarters and 24 nickels
D. 18 quarters and 6 nickels

Answers

12 quarters and 4 nickels

How would I write f(x) = -4(x-2)+ 7 in standard form

Answers

Answer:

The standard form of the given equation is f(x) =  0x²-4x+15=0

Step-by-step explanation:

The standard form  is ax²+bx+c=0

Given f(x) = -4(x-2)+ 7

   we can write the standard form

                     =  0x² -4(x-2)+7 =0

                   ⇒   0x² -4x +8 +7 =0

                   ⇒   0x² -4x + 15 =0

now comparing the standard form ax²+bx+c=0

                      a = 0 , b= -4 and c =15

Natalie walked 3/5 mile in 1/2 hour.how fast did she walk,miles per hour.

Answers

Answer:

1.2 mph

Step-by-step explanation:

3/5 = .6 per half hour, you need to find the mph rate and since you're dealing with a half hour rate, you double it. .6 miles × 2 & 30 mins ×2= 1.2 miles per hour

Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X?X ~ N(,)
What is the distribution of x¯? x¯ ~ N(,)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.1605 and $6.757.
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

Answers

Answer:

(6.35, 5.34)

(6.35, 0.99)

0.10253

0.3984

Step-by-step explanation:

Given that :

μ = 6.35

σ = 2.31

n = 41

What is the distribution of X?X ~ N(,)

X :

Mean of distribution = μ= 6.35

The variance = σ^2 = 2.31^2 = 5.3361 = 5.34

X ~ N = (6.35, 5.34)

What is the distribution of x¯? x¯ ~ N(,)

The mean = μ = 6.35

The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99

X ~N = (6.35, 0.99)

find the probability that this patron's lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757)

Obtain the standardized scores:

Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082

P(Z < - 0.082) = 0.46732 (Z probability calculator)

(6.757 - 6.35) / 2.31 = 0.176

P(Z < 0.176) = 0.56985 (Z probability calculator)

P(Z < 0.176) -P(Z < - 0.082)

0.56985 - 0.46732 = 0.10253

For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.

P(6.1605 < x < 6.757) ; n = 17

Obtain the standardized scores:

Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338

P(Z < - 0.338) = 0.36768 (Z probability calculator)

(6.757 - 6.35) / 2.31/sqrt(17) = 0.726

P(Z < 0.726) = 0.76608 (Z probability calculator)

P(Z < 0.726) -P(Z < - 0.338)

0.76608 - 0.36768 = 0.3984

Answer:

he did a good job

Step-by-step explanation:

Multiply the following complex numbers: (-7+ ) and ( + i). Show all work and explain the steps you are taking in the work.

Answers

Answer:

Step-by-step explanation:

in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i

if your problem really only has a 7 and an i in it.. then it looks like below

7 * i  = 7i

but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already  :)

The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:

Given:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

To find:

Multiply complex numbers.

Solution:

[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]

[tex]\therefore\\\\\to \bold{a+ib}[/tex]

In these questions, the value of a is missing so,

[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]

Therefore, the final answer is "-7i".

Learn more:

https://brainly.com/question/20566728?referrer=searchResults

Which shows the use of the associative and commutative properties to make simplifying 3.2 + 20 – 3+ 4.8 + 19 easier?​

Answers

Answer:

B

Step-by-step explanation:

(3.2+4.8)+[20+19+(-4)]

8. +. 47. -4

=43

Please help me answer this :)
I will give braisnlt

Answers

Answer:

y = -1/2x + 4

Step-by-step explanation:

I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)

I got +4 because 4 is where x = 0, or the y intercept

I can model and solve one variable two step equations

9x-10= 63

Answers

Answer:

Step-by-step explanation:

good job?

Hurry and anwser plz

Answers

Answer:

D

Step-by-step explanation:

103+103=206

360-206=154

154 divided by 2 equals 77 degrees aka D.

Hope this helped! :)

the answer should be D

Please help me!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?

Include A.M. or P.M. in your answer

Answers

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes

Total time touring Chicago = 4 hours 35 minutes

Since dinner reservation is at 5 :10 pm

Touring should start latest:

5:10 - 4 hours 35 minutes = 1 :35 pm

The graph below shows two functions f(x) and g(x)
such that g(x) = f(x) +k
Enter the value of kin the box below.
k=

Answers

Answer:

The value of k is 7

Step-by-step explanation:

The image shows the graph of g(x) and f(x). g(x) is shifted up f(x) by a number k such that:

g(x) = f(x) +k

To know the value of k, we select a value for x and calculate the value of k.

For example, for x=0, f(0)=-6, g(0)=1, and:

g(0) = f(0) +k

1 = -6 +k

k = 7

We can select any other value for x which g and f values can be clearly seen. For example, for x=-5, f(-5)=0, g(-5)=7, thus:

g(-5) = f(-5) +k

7 = 0 +k

k = 7

The value of k is 7

the answer above is correct

Which of the following is true?
|−4| < 3
|−4| < |3|
|−3| < −4
|−3| < |−4|

Answers

Answer:

|−3| < |−4|

Step-by-step explanation:

Answer:

|−3| < |−4|

Step-by-step explanation:

Convert each option:

|−4| < 3     4 < 3   ✖ False

|−4| < |3|     4 < 3   ✖ False

|−3| < −4     3 < −4   ✖ False

|−3| < |−4|     3 < 4   ✔ True

Hope this helps! :)

Solve 1/3k+80=1/2k+120

Answers

Answer:

k=-240

Step-by-step explanation:

Answer:

k = -1200

Step-by-step explanation:

Definition of intersect in geometry.

Answers

Answer:

Intersect means two lines met together and formed a point.

Step-by-step explanation:

None

A utility company estimates that a power line repair job will take a total of 24 person-hours. If 3 workers are assigned to the job, how long will it take them to complete the job according to this estimate?

Answers

Answer:

8hrs

Step-by-step explanation:

[tex] \frac{24}{3} \\ \\ [/tex]

Based on the information given, the number of hours that will be used will be 8 hours.

From the information given, the company estimates that a power line repair job will take a total of 24 person-hours and 3 workers are assigned to the job.

Therefore, the number of hours that will be used will be:

= 24 hours / 3

= 8 hours

Learn more about division on:

https://brainly.com/question/4320580

Using point-slope form, write the equation of the line that passes through the point (-1/2,1/2) and has a slope of -1

Answers

Answer:

y - 1/2 = -(x + 1/2)

Step-by-step explanation:

Use point slope form, y - y1 = m(x - x1), where (x1, y1) is a point on the line

Plug in the point given and the slope:

y - y1 = m(x - x1)

y - 1/2 = -(x + 1/2)

So, the equation is y - 1/2 = -(x + 1/2)

Answer:

y - 1/2 = -(x + 1/2)

2-2=-1(1+1)

Step-by-step explanation:

slope is given

y-y1=m(x-x1)

Justin wants to buy a laptop computer that costs $580. He takes a loan from the electronics store that charges him 14.5% simple interest per year. What is the balance of the loan after 2 years?

Answers

Answer: omggg I need that one too irdk I need help

Step-by-step explanation:

Answer:

It is 748.2

Step-by-step explanation:

With formula I=PRT you sub in the P R and T. once you do that you get the answer of 168.2, after you add 168.2 to the original amount which gives you the answer 748.2

Can someone help me with number 7

Answers

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

The point (–5, 6) is located in which quadrant?


Quadrant I
Quadrant II
Quadrant III
Quadrant IV

Answers

Answer:

Quadrant 2

Step-by-step explanation:

Step-by-step explanation:

4th quadrant cause x is positive and y is negative

PLEASE HELP find the ratio of 25 cents to $1.25

Answers

I know this is off topic but remember u are important and love u matter to this world even tho I don’t know u I care about u have a wonderful day and happy holidays

will give brainliest!

Answers

Correct answer: A, 2

Answer:

2/1=2

Step-by-step explanation:

What is the answer for 2 x 4 x 5 x 99 ÷ 3 x 56?

Brainliest for the correct answer!

Answers

Answer:

73920

Step-by-step explanation:

pemdas

2*4=8

8*5=40

40*99=3960

3960/3=1320

1320*56=73920

Answer:

73920

Step-by-step explanation:

Find the slope of the line tangent to the curve f(x) = -10x^2 + 8x when x=9

Answers

The tangent line to f(x) at some point x has slope equal to f'(x), so first compute the derivative of f :

f(x) = -10x ² + 8x

f'(x) = -20x + 8

When x = 9, we have

f (9) = -10•9² + 8•9 = -738

f' (9) = -20•9 + 8 = -172

so the slope is -172.

If you also have to find the equation of the tangent line, use the point-slope formula:

y - (-738) = -172 (x - 9)

y = -172x + 810

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