In 2019, the average high school GPA for incoming University of Maryland freshman was 4.32 with a standard deviation of 0.285. Suppose UMD freshman are randomly assigned into groups of 25.

Note that this scenario is talking about a sampling distribution since the students are put into groups of size 25. Therefore, you will need to calculate the standard deviation using a formula before using the normalcdf and invNorm commands.



a) What is the mean of the sampling distribution of all samples like this:



b) What is the standard deviation of the sampling distribution of all samples like this:

Give the formula with values that you entered in your calculator as a way of showing your work:

Give your final answer rounded to 3 decimal places:



c) What is the probability of a group having an average high school GPA below 4.1?

Give the command and values you used as a way of showing your work:

Give your final answer rounded to 6 decimal places or write your final answer in scientific notation rounded to one decimal place:

Answers

Answer 1

   Answer a what is the mean of the sampling distribution of all samples like this

Step-by-step explanation:


Related Questions

Simplify to create an equivalent expression.
20-n – 3) – 7(5 + 2n)
Choose 1 answer:
-16n – 37
-16n - 41
16n - 41
16n +41

Answers

Answer:

by the way u typed in your answer I got -15n-12

Step-by-step explanation:

let me know If it is written another way

Answer:

its b

Step-by-step explanation:

The floor of a NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?


Answers

The cubic feet of space that is in the subway car is the volume of the subway car which is 5,502.

How many cubic feet of space are there in a subway car?

The shape of a subway car is in the form of a rectangular prism. In order to determine the cubic feet of space, the volume of the car has to be determined. The formula for the volume of a rectangular prism would be used.

Volume = width x height x length

12 x 51 x 8.5 = 5205

Here is the complete question:

The floor of an NYC subway car measures approximately 51 feet by 8.5 feet. The height of the NYC subway car measures approximately 12 feet. How many cubic feet of space are there in a subway car?

To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747

6(x-1)=9(x+2) what's the answer?

Answers

The answer is -8. Sorry for the mess but I hope you understand

Answer:

x=-8

Step-by-step explanation:

Which describes the slope of the given line?

A) positive
B) zero
C) negative
D) undefined

Answers

Answer:

C) Negative

Step-by-step explanation:

This is because the top is left and going right

Answer:

negative

Step-by-step explanation:

Help help ASAP pelsss thanks

Answers

Answer:

(5,1)

Step-by-step explanation:

Working together, Bill and Tom painted a fence in 8 hours. Last year, Tom painted the fence by himself. The year before, Bill painted it by himself, but took 12 hours less than Tom took. How long did Bill and Tom take, when each was painting alone?

Answers

Answer:

Tom paints the fence in 24 hours and Bill paints the fence in 12

Step-by-step explanation:

T = 1 fence / x hours

B = 1 fence / x - 12 hours

B + T = 1 fence / 8 hours

( 1 fence / x - 12 hours ) + ( 1 fence / x hours ) = 1 fence / 8 hours

( 1 / x - 12 ) + ( 1 / x ) = 1 / 8

multiply through all the denominators to get:

8x + 8 (x - 12 ) = x( x - 12 )

8x + 8x - 96 = x^2 - 12x

combine like terms to get:

x^2 - 28x + 96 = 0

factor to get:

( x - 4 ) ( x - 24 ) = 0

x = 4, 24

4 won't work, because that would mean Bill would take a negative amount of time to paint the fence by himself, so that means

Tom paints the fence in 24 hours and Bill paints the fence in 12

Hello Can Someone Please Answer This Math Question

Answers

Step-by-step explanation:

the answer is in the picture

In this figure, ∠1 and ∠2 are located on a line.

Let m∠1=x° and m∠2=(14x)°.

What is the value of x?

Enter your answer in the box.

Answers

In a straight line, all angles sum up to 180°

====================================

[tex]\hookrightarrow \sf x +\dfrac{1}{4} x = 180[/tex]

[tex]\hookrightarrow \sf \dfrac{4x}{4} +\dfrac{1}{4} x = 180[/tex]

[tex]\hookrightarrow \sf \dfrac{4x+x}{4} = 180[/tex]

[tex]\hookrightarrow \sf 4x+x= 180(4)[/tex]

[tex]\hookrightarrow \sf 5x= 720[/tex]

[tex]\sf \hookrightarrow x = 144[/tex]

Answer:

x = 144°

Step-by-step explanation:

Since the larger line is a straight line, ∠1 and ∠2 are a linear pair. A linear pair is such a pair where two angles sum up to 180°.

⇒ ∠A + ∠B = 180°

Substitute the measure of ∠A and ∠B

⇒ x + x/4 = 180°                                                                    [∠A = x; ∠B = x/4]

⇒ 4x/4 + x/4 = 180°                                                           [Rewrote x as 4x/4]

⇒ 5x/4 = 180°

Using cross multiplication

⇒ 5x = 180 × 4 = 720

x = 720/5 = 144°

Martin and Eva pool their loose change to buy snacks on their coffee break. One day, they spent $5.80 on 1 carton of milk, 2 donuts, and 1 cup of coffee. The next day, they spent $6.75 on 3 donuts and 2 cups of coffee. The third day, they bought 1 carton of milk, 1 donut and 2 cups of coffee and spent $6.05. How much is the price of a carton of Milk? (Write only the amount, example, $2.50)

Answers

Answer:

250

Step-by-step explanation:

gsv

Please solve this linear algebra equation for 15 points.

Answers

Answer:

[6

-1.5]

the six and 1.5 are in the same bracket the 6 in ontop

A manufacturer makes chocolate squares that have a target weight of 8 g. Quality control engineers sample 30 chocolate squares to see whether H0: μ = 8 vs. Ha: μ ≠ 8 where μ is the true average weight of the chocolate squares. They calculate the sample mean of the 30 squares to be 8.3 g. Suppose the population standard deviation is 0.87 g and the true weight is 8.5 g. At the 5% level of significance, calculate the power for the test. For full credit, include all steps as described in class.

Answers

Using the normal distribution and the central limit theorem, it is found that the power of the test is of 0.9992 = 99.92%.

Normal Probability Distribution

In a normal distribution 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]

It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is [tex]\mu = 8.5[/tex].The standard deviation is [tex]\sigma = 0.87[/tex].A sample of 30 is taken, hence [tex]n = 30, s = \frac{0.87}{\sqrt{30}} = 0.1588[/tex].

The power of the test is given by the probability of a sample mean above 8, which is 1 subtracted by the p-value of Z when X = 8, so:

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

By the Central Limit Theorem:

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

[tex]Z = \frac{8 - 8.5}{0.1588}[/tex]

[tex]Z = -3.15[/tex]

[tex]Z = -3.15[/tex] has a p-value of 0.0008.

1 - 0.0008 = 0.9992.

The power of the test is of 0.9992 = 99.92%.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

I need help please please

Answers

Answer:

A

Step-by-step explanation:

Reflects across the y axis then rotates 180 degrees.

Answer:

reflection then rotation

Step-by-step explanation:

because to get 2 you reflect then 3 is rotated

2x = 1/32 find the value of x

Answers

Answer:

x = 64

Step-by-step explanation:

2/x = 1/32

cross multiply

2 × 32 = x × 1

64 = 1x

64 = x

For the polynomial below,what is the power of the term with the coefficient of 1? x^3+1/3x^4+6x+5

Answers

Hi! I hope you're enjoying your day!

Please remember that the coefficient is the number before a variable.

Also, if we have no coefficient, then we have a coefficient of 1.

Here we have

x^3 (no coefficient)

the power is after the ^ symbol or written above a number (like [tex]\bold{t^h}[/tex]) where h is the power of t

Hence, the answer is

[tex]\boxed{\boxed{\bold{3}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions; if so, feel free to use the comment section.

#LearningDoesn'tEnd

#LearningIsFun

Please help I don’t understand please I really need helppppppppp

Answers

Answer:

it's 4

Step-by-step explanation:

you just divide 8 and 4

8÷4= 4


Get Fit Gym currently has 96 members participating in their aerobic classes, and this number has been increasing by 2 people per
week. The cycling classes have a total of 80 members who participate, and this number
has been decreasing by 3 people per
week. In how many weeks will the number of people working out in the aerobics classes be double the number of people
attending the cycling classes?

Answers

Step-by-step explanation:

mx + b = y

 

2x + 96 = y

-3x + 80 = z

 

What we want is y to be twice z, or y = 2z

If we're going to make 2z, then that means its equation needs to be doubled as well:

2x + 96 = 2(-3x + 80)

2x + 96 = -6x + 160

8x = 64

x = 8

 

Now to check our answer:

2 * 8 + 96

16 + 96 = 112

 

-3 * 8 + 80

-24 + 80 = 56

56 * 2 = 112

 

hope it helps :)

please help me

NO LINKS!! ​

Answers

Answer:

D

Step-by-step explanation:

π/3

Coterminal angle:-

π+π/34π/3

Or

π-π/3=2π/3

Option D

HELP ME PLEASE I NEED HELP
Find the value of g(25) for the function below.


g(x) = 24(x − 39)


A.

561

B.

-14

C.

-336

D.

-911

Answers

Answer:

C.-336

Step-by-step explanation:

g(25)=24(25‒39)

=24(‒14)

=‒336

i hope it helps you

Step-by-step explanation:

g(x) =24(x-39)

g(25)=24(25-39)

=24(-14)

=-336

=c

A car rents for $280 per week plus $0.15 per mile. Find the rental cost for a three-week trip of 900 miles.

Answers

Answer:

$975

Step-by-step explanation:

The car is rented for 3 weeks

the rent is for a week is $280 so for three weeks it would be

3*28 = $840

now we need to add the per mile price to this

1 mile = $0.15 for 900 miles it would be

900*(0.15) = 135

So the total rental cost is

$840 + $135 = $975

if sin(θ)=7/25, when π/2<θ<π, use the given information about θ to find the exact value of sin(θ/2)

Answers

we know that π/2 < θ < π, which is another way of saying that θ is in the II Quadrant, so half that angle will most likely be located on the I Quadrant, where cosine as well as sine are both positive.

Now, let's keep in mind that θ itself is in the II Quadrant, where the cosine is negative whilst the sine is positive.

[tex]\textit{Half-Angle Identities} \\\\ sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's now find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\pm\sqrt{25^2-7^2}=a\implies \pm\sqrt{576}=a\implies \pm 24=a\implies \stackrel{II~Quadrant}{-24=a} \\\\[-0.35em] ~\dotfill\\\\ cos(\theta )=\cfrac{\stackrel{adjacent}{-24}}{\underset{hypotenuse}{25}} \\\\\\ sin\left(\cfrac{\theta}{2}\right)\implies \pm \sqrt{\cfrac{1-\left( -\frac{24}{25} \right)}{2}}\implies \pm \sqrt{\cfrac{1 +\frac{24}{25} }{2}}[/tex]

[tex]\pm\sqrt{\cfrac{~~\frac{49}{25} ~~}{2}}\implies \pm\sqrt{\cfrac{49}{50}}\implies \stackrel{I~Quadrant}{+\sqrt{\cfrac{49}{50}}}\implies \cfrac{\sqrt{49}}{\sqrt{50}}\implies \cfrac{7}{5\sqrt{2}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{7}{5\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{7\sqrt{2}}{5\sqrt{2^2}}}\implies \cfrac{7\sqrt{2}}{10}[/tex]

On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world’s fastest temperature change.



At 7:30 a.m., the temperature was `-4`°F.

By 7:32 a.m., the temperature was `45`°F.

By 9:00 a.m. the same day, the temperature was `54`°F.

By 9:27 a.m., the temperature was `-4`°F.



How many degrees did the temperature change each minute from 7:30 to 7:32?

Answers

Answer:6 degrees

Step-by-step explanation:

The ratio of dogs to cats is 6:11. if i have 18 dogs, how many total animals do i have​

Answers

Answer:

51

Step-by-step explanation:

6 dogs: 11 cats

12 dogs: 22 cats

18 dogs : 33 cats

18 + 33 = 51

Have an amazing day!!

PLEASE RATE!!

Translate the following expression:

5 less than 4 times a number(use n), squared

due in 1 hour

Answers

Step-by-step explanation:

[tex](4n - 5) {}^{2} [/tex]

4 times a number implies it's multiplied by 4

5 less is simply -5

and square all that to get (4n-5)²

This is my best guess

Find the area can i get the answer ASAP pls......................

Answers

For the problem on the left, the best way to solve is by splitting the shape into two. The smaller square at the top, and the larger rectangle at the bottom. To find the area of the top of the square you multiply base times height. In this case, you do 36*36, to get 1296. For the larger rectangle, you also do base times height, and calculate 60*36, to get 2160. The final step is to add 2160 to 1296. After adding, you should get the sum of 3456. Add the unit, and since we’re finding area, add squares. The answer is 3456 yards squared.

For the second problem, we can notice that the shape is a trapezoid. The way we find the area of a trapezoid is by taking the average of the bottom length and the top length, and multiply it by the height. The first step is to do 16+8 to get 24. Next, you need to divide 24 by 2 since you’re finding the average of the two numbers. Finally, to finish multiply the height by 12. In this case you do 16*12, to get 192 feet squared.



Answer to A: 3456 Yards Squared
Answer to B: 192 Feet Squared

Solve this system of equations algebraically:

y – 10 = 11x + x2

y – 12x = 30



The first solution is (–4, –18).



The second solution is

Answers

Answer:

5,90

Step-by-step explanation:

got it correct :)

The second solution for the system of equations is (5, 90).

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given the system of equations,

y - 10 = 11x + x² and

y - 12x = 30

Consider second equation.

y - 12x = 30

⇒ y = 30 + 12x

Substitute y = 30 + 12x in the equation y - 10 = 11x + x², we get,

(30 + 12x) - 10 = 11x + x²

12x + 20 = 11x + x²

12x - 11x - x² + 20 = 0

-x² + x + 20 = 0

x² - x - 20 = 0

Discriminant = [tex]\sqrt{(-1)^{2} -(4*1*-20)}[/tex] = √(1 + 80) = √81 = ±9

x = (1 + 9)/2 and x = (1 - 9) / 2

x = 5 and x = -4

The solution x = -4 and y = -18 is given.

Other solution is,

x = 5

y = 30 + 12x = 30 + 60 = 90

Hence the second solution is (5, 90).

Learn more about Linear Equations here :

https://brainly.com/question/19770987

#SPJ2

PRECAL EDGE HELPPPPP
The water level at a pier is modeled by the function y= 2.5 cos(2pi/12.5) +12, where y represents the water level
measured in meters, and x represents the number of hours since the last high tide. After how many hours is the water
first expected to reach a depth of 12 meters? Round to the nearest tenth of an hour.

Answers

Answer:

3.1

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

edg 2021

Find the value of xx, yy, and zz in the parallelogram below..

Answers

Answer:

36, y = 10, and z = -25

Step-by-step explanation:

99 and -3z +6 are same side interior angles, so they sum to 180 degrees.

99 -3z + 6 = 180

-3z = 75

z = -25

Opposite angles of a parallelogram are congruent

2x + 9 = -3x + 6

2x + 9 = 75 + 6

2x = 81 - 9

2x = 72

x = 36

9y + 9 = 99

9y = 90

y = 10

Slove for x
Show all work

Answers

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

[tex](x)(y)=9(4)[/tex]

[tex]\sqrt{x^2} =\sqrt{36}[/tex]

[tex]x=6[/tex]

~

How do I subtract 8 1/2 - 6 7/8

Answers

The answer is 1 5/8

Hope this helps :)
The answer is 1 5/8 because you need to times 8 1/2 by 4/4 so you have the same denominator as 8 and then you do 8 4/8 - 6 7/8 which gives you 1 5/8

Which of the following shows figure T rotated 90° clockwise around the Orgin ?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

It's the 4th one because it's the only one that rotated at 90° clockwise and around the origin.

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