A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores.

Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

Answer: The numerical limits for grade B is 81 and 92

Step-by-step explanation:

Given that

mean Ж = 79

Standard deviation S = 8.4

B: Scores below the top 6% and above the bottom 59%

To find the numerical value for Grade B

Below the top bottom 6% ( 0.06) is

p ( X < Ж ) = 1 - 0.06

p ( X < Ж ) = 0.94

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.94

(X - 79) / 8.4 = 1.5548 ( from normal distribution table )

X - 79 = 13.0603

X = 13.0603 + 79

X = 92.06 ≈ 92 ( nearest whole number)

Above bottom 59% ( 0.59) is

p ( X < Ж ) = 0.59

therefore

P( (X - ц)/S < (X - Ж) / S)) = 0.59

(X - 79) / 8.4 = 0.2275 ( from normal distribution table )

X - 79 = 1.9114

X = 1.9114 + 79

X = 80.91 ≈ 81 ( nearest whole number)

So the numerical limits for grade B is 81 and 92

3 0

3 years ago

Right or wrong ????

tangare [24]

Answer:

c 1/2

Step-by-step explanation:

You are incorrect.

We are going from ABCDEFGH to A'B'C'D'E'F'G'H'. We are going from the large octagon to the small octagon. The scale factor of a dilation is the number you multiply the original lengths to get the lengths of the dilation.

$scale~factor = \dfrac{length~of~dimension~in~dilated~image}{length~of~corresponding~dimension~in~original~figure}$

Look at point (6, 0) which becomes (3, 0) in the dilation.

The distance from the origin to (6, 0) is 6 units.

The distance from the origin to (3, 0) is 3 units.

scale factor = dilated/original = 3/6 = 1/2

The scale factor of the dilation is 1/2.

Also look at segment AB whose length is 4. The length of segment A'B' is 2.

scale factor = dilated/original = 2/4 = 1/2

Answer: 1/2

4 0

4 years ago

Use the diagram . Select a pair of supplementary angles

zepelin [54]

Answer:

B) angle fga + angle agc

Step-by-step explanation:

supplementary angles when added together equal to 180 degrees

4 0

2 years ago

3 groups of 5 how<br> Many are there in total

Vadim26 [7]

It's 15 because

3 groups and 5 people in each group

and becomes 15

I HOPE THIS HELPS

7 0

3 years ago