Keith is the manager of an auto-care center. Based on service records from the past year, the time (in hours) that a technician requires to complete a standard oil change and inspection follows a right-skewed distribution with p. = 30 minutes and o = 20 minutes. For a promotion, Keith randomly selects 40 current customers and offers them a free oil change and inspection if they redeem the offer during the next month. Keith budgets an average of 35 minutes per customer for a technician to complete the work. If he wants to be 99% certain that he doesn't go "over budget"? To convert 99% into a z-score, we will use ＿ a..normalcdf(35, 99999999, 30, 20)
b..invNorm(0.99, 0, 1)
c...invNorm(0.01, 0, 1)
d...normalcdf(35, 99999999, 30, 3.16)
e.normal cdf(35, 99999999, 0, 1)

plz need help number 1 2 3 4 5 are pic

answer: the area of the parallelogram below is 42 square meters.

- officialprodixy ☕

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

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