Will give maggie has 7 tiles with pictures of plants and 2 tiles with pictures of animals. maggie keeps all the tiles on a mat with the pictures hidden and mixes them up. she then turns one tile face up and finds the picture of a plant on it. she removes this tile from the mat and turns over another tile without looking. what is the probability that the second tile that maggie turns over has a plant on it?

75.0%

Step-by-step explanation:

7/9 tiles w/ plants

2/9 tiles w/ animals

Maggie takes a tile with a plant on it, and moves it away from the mat. Our new fractions are going to be...

6/8 tiles w/plants

2/8 tiles w/ animals

6 ÷ 8 = 0.75 x 100 = 75.0%

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

ome people is not even worth it to even try it in the air.

step-by-step explanation: