Which answer is correct for Part A and which answer is correct for part B? A small greeting card company in Burton, New Mexico wants to determine how many of the town's 12,500 citizens are likely to buy a Valentine’s Day card. Last year, 80% of the town's citizens bought a Valentine's Day card. The company surveyed 400 citizens who bought one of these cards last year and concluded that 65% of the buyer population is likely to buy a Valentine's Day card this year.

Part A: What is the population in this example?
Part B: Did the company sample enough people to obtain a 95% confidence level with a 5.0% margin of error?

A: citizens of Burton who bought a Valentine’s Day card last year and participated in the poll

A: citizens of Burton who participated in the poll

A: all citizens of Burton

A: citizens of Burton who bought a Valentine’s Day card last year

B: No, the comp

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

363 square inches

step-by-step explanation:

surface area of a pyramid is b + 1/2ph

b is the area of the base: 11 x 11 = 121

p is the perimeter of the base: 11 + 11 + 11 + 11 = 44

h is the height of the pyramid: 11

121 + 1/2(44)(11)

121 + 242

363