A national survey of adult citizens of a nation found that % dreaded Valentine's Day. The margin of error for the

survey was percentage points with % confidence. Explain what this means.

1000 20

7.1 85

Which statement below is the best explanation?
A. There is 85% confidence that 20% of the adult citizens of the nation dreaded Valentine's Day.
B. In % of samples of adult citizens of the nation, the proportion that dreaded Valentine's Day
is between and .
85
0.129 0.271
C. There is % confidence that the proportion of the adult citizens of the nation that dreaded
Valentine's Day is between and .
85
0.129 0.271
D. There is % to % confidence that % of the adult citizens of the nation dreaded
Valentine's Day.
77.9 92.1

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).

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

step-by-step explanation:

its payment history because your score is mainly based on how consistent u are with your payment and if there on time. hope this : )