1. What percent of the players finished the walk in less than 2 hours? Show your work. 2. What is the probability that two randomly chosen players completed the walk in 2.9 hours or more? Show your work.

3. What is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours? Show your work.

4. What observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?

5. What might you observe if the number of participants increased or decreased?

i think that you should ask google for the answer to that problem because if we don't know it google does

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