The popular skittles candy comes in 5 colors. according to the skittles website, the colors are evenly distributed in the population of skittle candies. so each color makes up 20% of the population. suppose that we buy 2 small bags of skittles. we determine the percentage of green skittles in one bag and the percentage of orange skittles in the other bag. suppose that each bag contains 40 candies. we define the difference in sample proportions as "green" minus "orange." which of the following will give a sample difference of 0.10? 10 green and 6 orange
4 green and 8 orange
10 green and 10 orange

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

let's fu(!

step-by-step explanation:

english maybe i can ..