A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below the top 12% and above the bottom 57% C: Scores below the top 43% and above the bottom 19% D: Scores below the top 81% and above the bottom 5% F: Bottom 5% of scores Scores on the test are normally distributed with a mean of 66.5 and a standard deviation of 9.9. 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 80.

Step-by-step explanation:

According to the Question,

Given That, A philosophy professor assigns letter grades on a test according to the following scheme.

A: Top 12% of scores

B: Scores below the top 12% and above the bottom 57%

C: Scores below the top 43% and above the bottom 19%

D: Scores below the top 81% and above the bottom 5%

F: Bottom 5% of scores Scores on the test

And The normally distributed with a mean of 66.5 and a standard deviation of 9.9.

Now,

In a set with mean  and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=66.5 , σ=9.9  

Find the minimum score required for an A grade.  

Top 12%, so at least the 100-12 = 88th percentile, which is the value of X when Z has a p-value of 0.88. So it is X when Z = 1.175.

⇒ Z = (X-μ)/σ

⇒ 1.175×9.9 = X-66.5

⇒ X=78.132

Rounding to the nearest whole number, the answer is 80.

The minimum score required for an A grade is 80.


Related Questions

Help please. For the hign school basketball game, it costs $8 for every 4 tickets. Complete the table below showing the cost and the number of tickets. ​

Answers

Answer:

$2 for 1 ticket, 7 tickets for $14, $18 for 9 tickets, 10 tickets for $20

Step-by-step explanation:

Since we know that it  $8 for 4 tickets, we can simplify the ratio down to 2:1, meaning that each ticket is $2.

You're welcome and good luck with your classes young one

A rotation or turn always moves clockwise and never counterclockwise.
True
False

Answers

Answer:

False

Step-by-step explanation:

It can go in any direction

Answer:

False

Step-by-step explanation:

Rotations can be either clockwise or counterclockwise

Which function has a maximum with the same maximum value as

Answers

Answer:

Step-by-step explanation:

Ben travels a regular distance of 80 miles to reach office. Today, he used an alternative route that covered a distance of only 75 miles. What is the decrease in the percentage of the distance travelled by ben

Answers

Answer:

Ben traveled 93.75% of his usual distance.

Step-by-step explanation:

Given that Ben travels a regular distance of 80 miles to reach office, and today he used an alternative route that covered a distance of only 75 miles, to determine what is the decrease in the percentage of the distance traveled by Ben, the following calculation must be done:

80 = 100

75 = X

75 x 100/80 = X

93.75 = X

Therefore, Ben traveled 93.75% of his usual distance.

find area of shaded region

Answers

Answer:

The answer is 21.98. I just took area of the whole circle and subtracted it with the area of two circles in it

Answer:

21. 99

Step-by-step explanation:

[tex]s = \pi \times {r}^{2} \\ s1 = 3.14 \times 9 = 28.27 \\ s2 = 3.14 \times 1 = 3.14 \\ a = 28.27 - (3.14 \times 2) = 28.27 - 6.28 = 21.99[/tex]

4)
Write an inequality for the graph below. If necessary, use
<= for < or >= for .

Answers

9514 1404 393

Answer:

  y < -1/4x -1

Step-by-step explanation:

The boundary line appears to go through the points (-4, 0) and (0, -1). This tells you it has a "rise" of -1 for a "run" of 4. The slope is ...

  m = rise/run = -1/4

The y-intercept (b) is the point where the y-axis is crossed. The slope-intercept equation of the boundary line is ...

  y = mx + b

  y = -1/4x -1

__

The boundary line is dashed, so is not included in the solution set. The shading is below the line, so all y-values less than (but not equal to) the boundary line are in the solution set:

  y < -1/4x -1

A research center poll showed that ​76% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this​ belief?

Answers

Answer:

6/25

Step-by-step explanation:

P(have belief) =76/100 = 19/25

P (does not have belief) = 1-19/25 = 6/25

Find the missing side round your answer to the nearest tenth.

Answers

Answer: 20.5

Step-by-step explanation:

Cos 43 = X/28

O.73 = x/28

(0.73)(28)=20.5

What is the US TREASURY BONDS pretax expected return?

Answers

Answer:

this is the return on an investment that does not include the taxes the investor must pay on this return

If a ants can dig b tunnels in c hours, how many tunnels can b ants dig in a hours?

Answers

9514 1404 393

Answer:

  b²/c tunnels

Step-by-step explanation:

The number of tunnels per ant-hour is ...

  b/(ac)

Multiplying that by the new number of ant-hours, we have ...

  (b/(ac))(ab) = b²/c . . . . tunnels

How many natrual numbers in between 68 and 145

Answers

Answer:

76 natural number not including the first

Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3

There are 78 natural numbers between 68 and 145.

What are the Natural numbers?

The Natural numbers are defined as it used for counting and are a component of the number system, which includes all positive integers from 1 to infinity. It does not include zero (0).

The set of natural numbers includes only the positive integers, i.e., 1, 2, 3, 4, 5, 6, ……….∞.

Sum of natural numbers are n(n+1)/2

Sn = n(n+1)/2

Hence, this is the formula to calculate sum of 'n' natural numbers.

Given that numbers are 68 and 145

We will start counting from 68 to 144

Number of natural numbers between 68 and 145 = (144 - 67)+1

Number of natural numbers between 68 and 145= 77 +1

Number of natural numbers between 68 and 145 = 78

Hence, there are 78 natural numbers between 68 and 145.

Learn more about Natural numbers here:

https://brainly.com/question/17429689

#SPJ2

You need a 75% alcohol solution. On hand, you have a 60 mL of a 55% alcohol mixture. You also have 85% alcohol mixture. How much of the 85% mixture will you need to add to obtain the desired solution?

You will need_____ mL of the 85% solution

Answers

60 mL=55% alcohol

?mL=85% alcohol

85×60÷55

=92.727 mL

I think do like this....I'm not sure

Hope this help you

9514 1404 393

Answer:

  120 mL

Step-by-step explanation:

Let x represent the amount of 85% solution needed. Then the total amount of alcohol in the mix is ...

  0.55(60) +0.85(x) = 0.75(60 +x)

  33 + 0.85x = 45 +0.75x . . . . . . . eliminate parentheses

  0.85x = 12 +0.75x . . . . . . . . . .subtract 33

  0.10x = 12 . . . . . . . . . . . . . . subtract 0.75x

  x = 120 . . . . . . . . . . . . . . multiply by 10

You will need 120 mL of the 85% solution.

f(x)=4(2)^x

what would a graph of this look like?

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator can do a nice job of showing you what the graph looks like.

The initial factor of 4 is the value when x=0, the y-intercept. The base of 2 tells you the function value is multiplied by 2 for each unit of x to the right, and divided by 2 for each unit of x to the left. (The curve quickly goes off the top of the graph.)

The horizontal asymptote is y=0, as it is for all exponential functions (that have not been translated).

26. A dealer was paid 5% commission on all the recharge cards he sold. If he sold N50,000.00 worth of cards, how much commission did he get?​

Answers

Answer:

Its N2500

Step-by-step explanation:

5% of 50000 is 2500, so thats how much commision he got

The dealer earned a commission of N2,500.00 on the sale of recharge cards worth N50,000.00.

To calculate the commission earned by the dealer, we need to determine 5% of the total value of the recharge cards sold.

Given that the dealer sold N50,000.00 worth of cards, we'll calculate the commission using the following formula:

Commission = (Percentage/100) * Total Value

In this case, the percentage is 5% and the total value is N50,000.00.

Using the formula, we have:

Commission = (5/100) * N50,000.00

Simplifying the equation:

Commission = 0.05 * N50,000.00

Commission = N2,500.00

To learn more about commission click on,

https://brainly.com/question/18129721

#SPJ2

seven times a number decreased by the number is -48 . Find the number.

Answers

Answer:

a = -8

Step-by-step explanation:

Let the required number be "a".

Given that, seven times a number minus the number is -48

7 × a - a = -48

7a - a = -48

6a = -48

a = (- 48) / 6

a = -8

I don’t remember learning this, need some help!

Answers

Answer:

4

Step-by-step explanation:

(y+2)²=[(-4)+2]²

=(-4+2)²

=-2²

=4

How do i work out the area of a circle that equals 5000

Answers

Answer:

Radius is 39.89422804 units

Step-by-step explanation:

Area of circle can be calculated with the formula: [tex]\pi r^{2}[/tex]

The area of the circle is 5000.

[tex]\pi r^{2}[/tex]= 5000

If you're looking for the radius, solve for r.

[tex]r^{2}[/tex]= [tex]\frac{5000}{\pi }[/tex]

r= [tex]\sqrt{\frac{5000}{\pi} }[/tex]

r= 39.89422804 units

The daily production of electronic motors at a certain factory averaged 120 with a variance of 100. The fraction of days that will have production levels between 100 and 140 assuming doubt about the normality of the data is

Answers

Cara has just come in for her morning shift , but the sales floor is a mess . Looks like the night crew didn't clean up . She groans , but then gets to work cleaning the displays before customers come . If she doesn't , who else will ? What good problem - solving skills is she exhibiting? a ) Seeking advice when necessary Ob ) Open to seeing new perspectives c ) Having a solutions - oriented attitude

What percentages of participants in the study were American?​

Answers

the percentage of the participants that were american is %15

In a residual plot against x that does NOT suggest we should challenge the assumptions of our regression model, we would expect to see a _____. a. parabolic band of points b. band of points having a slope consistent with that of the regression equation c. horizontal band of points centered near 0 d. widening band of points

Answers

Answer:

In a residual plot against x that does NOT suggest we should challenge the assumptions of our regression model, we would expect to see a _____.

c. horizontal band of points centered near 0

Step-by-step explanation:

This residual graph or plot shows the residual values (or the difference between the observed y-value (from scatter plot) and the predicted y-value (from regression equation line) on the vertical axis and displays the independent variable on the horizontal axis.  A linear regression model becomes appropriate for a dataset when the points are randomly dispersed around the horizontal axis near 0; otherwise, a nonlinear model becomes more appropriate.

write your answer in simplest radical form​

Answers

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

Maybe this image can help you.

If triangle ABC has one angle measuring 90o and one angle measuring 45o, which of the following is true?

Answers

ABC is a right angle

Third angle 45°

Its a isoceles Right Triangle because base angles are equal then two sides are also equal.

Must click thanks and mark brainliest

sipho's dad used 4/11 of the packet of oranges to make juice.The next day he used another 4/11 of the packet of oranges.How many eleventh were left of the pocket of oranges?​

Answers

9514 1404 393

Answer:

  3/11 were left

Step-by-step explanation:

A packet of oranges is 11/11. Subtracting 4/11 +4/11 = 8/11 from that leaves ...

  11/11 -8/11 = (11 -8)/11 = 3/11

3 elevenths were left.

The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the rectangle

Answers

⇛L = W + 5

⇛L × W = 150 sq. units

⇛W (W + 5) = 150

⇛W² + 5W = 150

⇛W² + 5W - 150 = 0

⇛[(W - 10) (W + 15)] = 0

⇛W = -10 , 15 (reject negative width)

Width of rectangle is 10 units

Length of rectangle is 15 units

What is the shortest distance Jill can travel is she leaves her house, goes to City Hall, to the Post Office, and then returns home?

A. 9 miles
B. 16 miles
C. 38 miles
D. 48 miles

Answers

Can you post an image of the map?

Answer:

i believe that the answer is 38 please trust me

What is the solution to 4x + 2 = 6(-2x - 5) ?
Group of answer choices

16

2

-16

-2

Answers

Answer:

x= -2

Step-by-step explanation:

4x + 2 = 6(-2x - 5)

Distribute

4x+2 = -12x-30

Add 12x to each side

4x+2+12x = -12x-30+12x

16x+2 = -30

Subtract 2 from each side

16x+2-2=-30-2

16x = -32

Divide by 16

16x/16x = -32/16

x = -2

the answer is x=-2 !!!!!!!!

please solve asap thanks ​

Answers

I think..

A' =( -1,-4 )

B' = ( 3,-2 )

C'=( - 2, 2 )

Answer:

A' (-3, 12)

B' (9, 6)

C' (-6, -6)

Step-by-step explanation:

A (-1 , 4 ) , K = 3 => K * each with coordinate of A => (-1 * 3, 4 * 3)

B ( 3 , 2 ) , K = 3 => K * each with coordinate of B => (3 * 3, 2 * 3)

C ( -2 , -2 ) , K = 3 => K * each with coordinate of C => (-2 * 3, -2 * 3)

HELP ,E P[LE[PAK LIUDGHMLA FsgdfsA FSD

Answers

Answer:

11 is the mean, median,mode

HOW TO FIND THE MODE

Find the number that is seen most often in the dataset.

HOW TO FIND THE MEDIAN

Find the number that's in the middle.

HOW TO FIND THE MEAN

Add all the numbers together. Then, divide by the amount of numbers in the dataset.

Step-by-step explanation:

Write a word phrase for each algebraic expression.
13. n + 6
14. 5 - c
15. 11.5 + y
17. 3x + 10
16. x/4 - 17
18. 10x + 7z

Answers

Step-by-step explanation:

6 more than nc is subtracted from 5y more than 11.510 more than thrice of x17 less than x divided by 4The product of 7 and z is added to the product of 10 and x.

if x+y=2 and x=4 then x+2y​

Answers

I’m sure the answer is just 4?
If x+y=2 and x=4, then to make that statement true, y has to equal -2.
So x+2y= 4+2-2= 4
Other Questions
You have $95 in your bank account. Each week you plan to deposit $9 from your allowance and $10 from your paycheck. The equation b=95+(10+9)w gives the amount b in your account after w weeks. How many weeks from now will you have $220 in your bank account?There will be $220 in the account after ___ weeks What did people do before electricity, I wonder? I'd be lost without lightsand a microwave oven. Oh, and my computer! show your acquittance with report? discuss the didifferent types of report. what is capital city of thurki Read the Bible passage.Exodus 26:1This passage..poetry. Write a fiction story about Da de los muertos in Spanish. Be at least 10 sentences.I AM NOT LOOKING FOR THE DEFINITION OF DA DE LOS MUERTOS. I NEED A MADE UP SPANISH STORY AT LEAST 10 SENTENCES LONG.i will give brainliest Last year there were 45 memebers of the tennis club at Marks Middle school. This year although the number of boys increeased by 20%, the number of girls decresed by 20%, the total numbers decresed by 1. Find how many boys anf girls are in the tennis club this year. solve 3 1/5 = y - 12/25 Read the following questions carefully and provide the correct answers.1. The writer of a play is known as2.An inscription on a tomb or gravestone is known as"The child is the father of the man" is an example ofA speech made by a character alone on stage is termed asThe three (3) genres of written literature areentify the three (3) main types of irony. what did hilter did to the German Help me pleases If an object is travelling 25.0 meters/second, how far will it travel in 45 minutes? Select the pseudo-code that corresponds to the following assembly code. Assume that the variables a, b, c, and d are initialized elsewhere in the program. You may want to review the usage of EAX, AH, and AL (IA32 registers). Also recall that the inequality a > b is equivalent to b < a. i.e. If A is greater than B, that's equivalent to saying that B is less than A..data; General purpose variablesa DWORD ?b DWORD ?c BYTE ?d BYTE ?upperLevel DWORD 18lowerLevel DWORD 3; Stringsyes BYTE "Yes",0no BYTE "No",0maybe BYTE "Maybe",0code main PROC mov eax, 1 cmp AH, c jg option1 jmp option3option1: mov edx, OFFSET yes call WriteString jmp endOfProgramoption2: mov edx, OFFSET no call WriteString jmp endOfProgramoption3: mov edx, OFFSET maybe call WriteStringendOfProgram: exitmain ENDPEND maina) if (c > 0) print (yes);else print (maybe);b) if (c < 0) print (yes);else print (maybe);c) if (c < 1) print (yes);else print (maybe);d) if (c > 1) print (yes);else print (maybe); Will Mark Brainlest Help pls Find an equation of the circle whose diameter has endpoints (-6, -1) and (-2,3). Determine the sum of the measures of the exterior angles of a convex hexagon (6-sided polygon). Question 1 options: 360 540 720 1,080 The student council needs to make a banner for the seventh-grade dance. The dance committee decides that the length of the banner will be 16 feet. What are the possible widths of the banner if the students can use no more than 40 square feet of material? Find the solution set of the inequality 16w 40 to solve the problem.A rectangle with a length of 16 feet and width of w.What are the possible widths of the banner if the students can use no more than 40 square feet of material?at most 2.5 ft wideless than 2.5 ft wideat least 0.4 ft wideno more than 0.4 ft wide WILL GIVE BRAINLIEST mention two demand side Approaches which are used by RSA government to promote economic growth and development In general atmosphere pressure is greater near earths surface and -as you move upward away from sea level