A small scale citrus fruit farming operation in Florida consists of 50 acres. The farm is subdivided into 1/2 acre subplots (for a total of 100 subplats). After an unexpected frost, the farmer wants to assess any damage. To do this, the farmer randomly selects 15 of the subplots and observes every tree in the selected subplots for damage. Which of the following best describes this sampling? Options: A.) stratified sample B.) systematic sample C.) clister sample D.) simple random sample

0.32

step-by-step explanation:

2.24/7

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

image for option 4

step-by-step explanation:

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