The data in the table show how long in minutes, t) it takes several commuters to drive to work. find the
correlation coefficient and the equation of the line of best fit for the data. treat the commute distance d as the
independent variable.
20
20
20
29
34
39
29
34
50
commute distance
(miles)
commute time
(minutes)
25
24
30
27
35
35
46
50
52
o
r=0.75
t = 0.70 +5.5
o
r=0.75
t = 0.8d + 11.5
o
r=0.56
0.8d + 11.5
or=0.56
t=0.70 +5.5

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

the diameter is 16 cm. are you a teacher?

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