A humanities 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 63% C: Scores below the top 37% and above the bottom 16% D: Scores below the top 84% and above the bottom 8% F: Bottom 8% of scores Scores on the test are normally distributed with a mean of 80.1 and a standard deviation of 7.2. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.

88.56

Step-by-step explanation:

Given that:

Mean score (m) = 80.1

Standard deviation (s) = 7.2

Minimum score required to score A grade =?

A= Top 12% of scores

Zscore corresponding to top 12% = bottom 88%

Zscore = 1.175

Zscore = (x - mean) / s

1.175 = (x - 80.1) / 7.2

1.175 * 7.2 = x - 80.1

8.46 = x - 80.1

8.46 + 80.1 = x

x = 88.56

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

1.3 million hoops i believe