Eleanor placed some marbles in a bag for an experiment She reaches into the bag and grabs a marble Eleanor write down the color of the marble then places the marble
back into the bag. This process is repeated 100 times. The marbles are either red black or gray. The probabilities of randomly choosing a marble of a given color are shown
below

• P(black) - 065
• Pred) = 0.11
• P(gray) = 0.24

Which of the following BEST describes the probability that the next randomly chosen marble is black?

A. somewhat likely
B. very likely
C. certain
D. unlikely

1.true 2.false? ? i think. .

step-by-step explanation:

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