Brand A or brand B. This table shows the results.
Texas
Brand A
80
96
176
Brand B Total
45 125
54150
275
California
Total
A person is randomly selected from those tested
Are being from California and preferring brand A independent events? Why or
why not?
A. Yes, they are independent because
PCalifornia brand A) 064
California)
0.55 and
B. Ye they are independent because
om att and A) 0.55
California)
0.55 and
C
he
m iependent beaucratontal
and

5.5

step-by-step explanation:

whose power in the senate is equal to the power of the speaker of the house?

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