HELP PLEASE! 30 POINTS! Scores on a statewide standardized test are normally distributed with a mean of 3.26 and a standard deviation of 0.17. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Jeremy received his score of 3.72 on the exam and is wondering if he will receive a certificate. Show all work to determine whether Jeremy's score was high enough to earn a certificate. Write a letter to Joel explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.

answer: 20

step-by-step explanation:

your answer would be 12

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .