Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer the question. Original data Line of "best guess" Line of best fit
Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals
5 3
7.5 6
10 10
15 5
20 6
Approximate the data using the line y = 0.25x + 3. Find the data point that has the residual with the greatest absolute value. Give that data point and its associated residual.

Data point: (10, 10); Residual = 4.50
Data point: (15, 5); Residual = 6.75
Data point: (20, 6); Residual = -2.00
Data point: (5, 3); Residual = -1.25

d

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

d

because parallelagram have all 4 angels the same size dependeing and a rectangle and square are oth parallelogram

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation: