PLEASE HELP

Thirty sixteen-year-olds took the driving test to obtain their driver's license. The following chart shows the number of times each one had to take the test before passing.

1 3 1 1 2 1 2 3 2 1
2 1 1 3 2 1 1 1 1 2
1 1 2 1 3 2 1 1 1 2
Based on the above data, what is the mode?

1

Step-by-step explanation: Mode is the number that occurs the most. 1 occurs 17 times, 2 occurs 9 times and 3 occurs 4 times, so the mode is 1.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

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