Will give branliest to the first responder simon used a probability simulator to roll a 12-sided number cube 100 times. his results are shown in the table below: number on the cube number of times rolled 1 18 2 5 3 16 4 12 5 10 6 5 7 8 8 14 9 2 10 5 11 2 12 3 using simon's simulation, what is the frequency of rolling a 3 on the number cube? using simon's simulation, what is the frequency of rolling a 3 on the number cube? 100 over 16 100 over 84 16 over 100 84 over 100

He rolled a three sixteen times out of 100, so the frequency is

Third choice

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

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