A cereal company is putting 1 of 3 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/3.
Adam wonders how many boxes he should expect to buy to get all 3 prizes. He carried out 32 trials of a
simulation and his results are shown below. Each dot represents how many boxes it took to get all 3 prizes in
that trial
ATUS
3 4 5 6 7 8 9 10 11 12 13
# of boxes purchased
Use his results to estimate the probability that it takes 9 or more boxes to get all 3 prizes.
Give your answer as either a fraction or a decimal.
P(9 or more boxes)
Stuc

step-by-step explanation:

this is not a question

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value