An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 61% C: Scores below the top 39% and above the bottom 25% D: Scores below the top 75% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.3 and a standard deviation of 8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

Answers

Answer 1

Answer:

The minimum score required for an A grade is 83.

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 72.3 and a standard deviation of 8.

This means that [tex]\mu = 72.3, \sigma = 8[/tex]

Find the minimum score required for an A grade.

This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.

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

[tex]1.34 = \frac{X - 72.3}{8}[/tex]

[tex]X - 72.3 = 1.34*8[/tex]

[tex]X = 83[/tex]

The minimum score required for an A grade is 83.


Related Questions

find the length of a segment indicated. Round your answer to the nearest tenth if necessary. NO LINKS. ​

Answers

9514 1404 393

Answer:

  8.  C) 24.2

  9.  A) 8.1

Step-by-step explanation:

8. The radius is shown as being 7.8 +4.3 = 12.1, so the diameter x is ...

  d = 2r

  x = 2(12.1) = 24.2

__

9. The unknown leg (y) of the right triangle can be found from the Pythagorean theorem.

  y² +11.7² = 12.5² . . . . . the radius is half the diameter

  y = √(156.25 -136.89) = √19.36 = 4.4

Then the segment of interest is ...

  x + y = 12.5

  x = 12.5 -4.4 = 8.1

Answer:

the length of a segment indicated.

Jason drove 8 4/5 miles to a subway station. He then 15 /6 miles by taxi to attend a meeting. How many total miles did he travel?

Answers

Answer:

Option A: (23 + 29/30) miles

Step-by-step explanation:

Here we just need to add two mixed numbers.

(8 + 4/5) miles and (15 + 1/6) miles.

To add these, we just separate between the whole part and the fraction part:

(8 + 4/5) miles + (15 + 1/6) miles

= (8 + 4/5 + 15 + 1/6) miles

= (8 + 15 + 4/5 + 1/6) miles

= (23 + 4/5 + 1/6) miles

Now we need to find a common multiple between 6 and 5.

So, only analyzing the fraction part of the sum, we can rewrite:

4/5 + 1/6

= 4/5*(6/6) + 1/6*(5/5)

(notice that we are multiplying both numbers by one, so we do not change the expression's value)

= (4*6)/(5*6) + (1*5)/(6*5)

= 24/30 + 5/30

So now both fractions have the same denominator.

Then, replacing that in the sum equation we get:

(23 + 4/5 + 1/6) miles =  (23 + 24/30 + 5/30) miles

= (23 + 29/30) miles

Then the correct option is option A.

Gordon types 2,508 words in 38 minutes. Find the unit rate. Gordon types words per minute.​

Answers

Answer:

66 words per minute

Step-by-step explanation:

In 38 minutes , words that can be typed by Gordon = 2508 words

In 1 minute, words that can be typed by Gordon = 2508/38

                                                                                = 66 words

Therefore Gordon types 66 words per minute.

hope it helps :)

Answer:

66

Step-by-step explanation:

To find the unit rate you would need to find how many words Gordon can type in one minute. To do that, all you need to do is divide 2,508 by 38 (which would get you 66 words). If you set up a proportion to solve this it would look somewhat like 2,508/28 = 66/1.

~ ~

Help set up the equation :D the answer in the answer box is wrong

Answers

X=3.4
Y=10 if that not right then switch x=10
Y=3.4

plz help me this for my grade

Answers

Answer:

[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].

Thus, we have the equation:

[tex]V=5\cdot 4\cdot 6[/tex]

Solving, we get:

[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].

Answer:

120

Step-by-step explanation:

length time width time height

6 times 4 times 5

would be you equation the 120 would be your volume  

HURRYYYYYYYY
If x 3 = -27, then what is x?

-9
-3
3
9

Answers

Answer:

Step-by-step explanation:

x/3=—27/3

Therfore, x=-9

A

OKK PLEASE HELP if correct will give brainliest help and 5 star pls help by 1230 pt

Answers

I’m sorry but I can’t help you I don’t know this one is there any other questions I can help you withBecause I think the answer would be 12°

Solve for p.

p + 36 = 73

p =

Answers

Answer:

p=37

Step-by-step explanation:

to get p by its self, you would do:

p+36=73

 -36=-36

p=37

Answer:

37

Step-by-step explanation:

A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is measured in millimeters. The results are presented next.

Process A Process B
Sample mean 2.0 3.0
Standard deviation 1.0 0.5
Sample size 12 14

The researcher is interested in determining whether there is evidence that the two processes yield different average errors. The population standard deviations are unknown but are assumed equal. If What is the decision if we use 1% level of significance?

a. Fail to reject the null hypothesis and conclude the means are different.
b. Reject the null hypothesis and conclude the means are different.
c. Fail to reject the null hypothesis and conclude the means are the same.
d. Reject the null hypothesis and conclude the means are the same.

Answers

Answer:

b). Reject the null hypothesis and conclude the means are different.

Step-by-step explanation:

A hypothesis is characterized as null when the data/statistics display that there is no distinction between the particular features of the groups. As per the details provided, the decision would be to 'reject/deny the null hypothesis and deduce that the means of the processes are different.' This shows that there is no association among the variables due to the distinction in the means of the two processes and other data provided. Thus, option b is the correct answer.

Nigel, Gina, and Kamal bought dog supplies.
Each person spent between $15 and $20.

Nigel bought 4 items.
Gina bought 5 items.
Kamal bought 2 items.

The prices of the items are given below. Drag items to each box to show what each person could have bought.

PLEASE HELP I BEG YOU

Answers

you didnt put the prices below

Answer:

5 items: 1 dog bone, 3 water bowls, 1 collar

4 Items: 3 Water bowls, 1 Box Of Dog Food

2 items: 1 box of dog food, 1 collar

Samantha is comparing scooter prices with two different DC scooter companies. With the UBER scooters, the equation c = 1.80m gives the relationship between m, the number of minutes per ride, and the total cost, in dollars. With the LYET scooters, the cost of 5 minutes is $3.75 and the cost of 10 minutes is $7.50. If Samantha rides for 12 minutes, how much money would she save by renting the less expensive scooter? Explain your reasoning. ​

Answers

Answer:

yes!

Step-by-step explanation:

someone please help!! will reward brainliest!

Answers

Add 7 to both sides seems like the best next step.

If not then add 9.

Tell me if i'm wrong

Answer:

Add 7 to both sides

I think that's the answer

A) lThere is a wooden storage unit inside of the garage. It is shaped like a rectangular prism
with the following dimensions: length = 3 feet, width = 5.5 feet and height = 2.5 feet.
What is the volume of the storage unit? Show your work

Answers

Answer: 41.25

Step-by-step explanation:

Volume = Length x Width x Height

Volume = 3 x 5.5 x 2.5

Volume = 41.25

Mark me as brainliest!!

Have a nice day

WILL


GIVE


BRAINLIST



...
..
MATH

Answers

Answer:

+213

Because its above sea level it means positive but if it is below sea level it is negative.

Use summation notation to write the series -1+2-4+8-16... for 12 terms

Answers

Answer:

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

Step-by-step explanation:

The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

URGENT NEED HELP CLICK TO SEE

Answers

Answer:

D

Step-by-step explanation:

Can I have Brainliest? I hope this helped and have a nice day!!!

Work:

64 / 2 = 32

3/4 / 2 = 3/8

3/4 = 6/8

6/8 / 2 = 3/8

Final answer 32 3/8

Which statement is the best reason that the author includes conversations with the dog in the book Travels with Charley? A. It shows that a dog really is a man’s best friend. B. This dog is unusually responsive to people. C. It presents an alternative way for the author to show his thoughts. D. The author cannot find any people to talk to.

Answers

Answer its b because im right

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)

Answers

Answer:

8

Step-by-step explanation:

4x2=8

what is
1/3 x (15+6)

Answers

Answer:

First, you do 15+6 (because of the parentheses)

You get 21

then you have to do 1/3 times 21 and you get 7

Answer:

7

Step-by-step explanation:

Using BODMAS which stands for:

(Bracket, of, Division, Multiplication, Addition and Subtraction)

We first treat the bracket

  (15+6)=21

We then treat the division

(but it is already reduced to its lowest terms therefore no need, but if you like you can reduce it to a decimal though)

[tex]\frac{1}{3}[/tex]

Then we move onto the multiplication which is the last part

[tex]\frac{1}{3}[/tex] ×21= [tex]\frac{21}{3}[/tex] =7

Question 5(Multiple Choice Worth 5 points)
(07.04 LC)What is the solution to the equation 1/4x=5?

Answers

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

Multiply both sides of the equation by 4 to make the coefficient of x be 1. This will show you the solution.

 4(1/4)x = 4(5)

  x = 20

Calculate the area between the two circles, as shown if the smaller radius is 3 and the larger radius is 11

Answers

9514 1404 393

Answer:

  112π ≈ 351.9 square units

Step-by-step explanation:

Assuming the smaller circle is wholly contained within the larger circle, the difference of their areas is ...

  ΔA = (π·11²) -(π·3²) = π·(121 -9) = 112π ≈ 351.9 . . . square units

__

The formula for the area of a circle is ...

  A = πr²

5 fractions with denominator of 1 between 0 and 1/14

Answers

Answer:

Are there options to choose from?

Step-by-step explanation:

what is the best estimate for 5 and 382?

a. 900
b. 500
c. 2,000
d. 3,000

Answers

Answer:

I think choose b. 500

Help guys plzzzz I’ll part you brainlist !!!!

Answers

Answer:

> is the answer because 10 × X > 80

Okay the answer is >

5. What is the value of 8 in the unit circle below?
30°
600
b.
45°
d.
90°

Answers

9514 1404 393

Answer:

  θ = 60°

Step-by-step explanation:

The angle is more than 45° and less than 90°. The only viable choice is ...

  θ = 60°

__

We can only read the x-coordinate of the point on the terminal ray. It is 1/2, which is the cosine of 60°. The angle must be 60°.

What is an example of a regular polygon?​

Answers

Answer:A few examples of regular polygons are a triangle, quadrilateral, pentagon, hexagon, heptagon, and a decagon.

Options are:

80
45
90
100

Answers

=>x+45+45=180°

=>x+90=180°

=>x=180°-90°

=>x=90°

Classify each triangle by side length and angle measure.

Answers

Answer:

Below.

Step-by-step explanation:

1. Isosceles.

2. Scalene

3. Equilateral.

4. Right triangle.

45 basketball players participate in a tournament there are a total of 15 teams that will play write and solve an equation of number players on each team​

Answers

Answer:

3

Step-by-step explanation:

45 players / 15 teams = 3 people per team

Does the commutative property work for subtraction and division?


no


yes

Answers

Answer:

NO!

Step-by-step explanation:

:-p

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