Acercal company is putting of 4 prizes in each box of cereal. The prizes are evenly distributed so the

probability of winning any given prize is always 1/4.

Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a

simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in

that trial.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

A cereal company is putting of 4 prizes in each box of cereal. The prizes are evenly distributed so the  probability of winning any given prize is always 1/4.

Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a  simulation and her results are shown below.

No. of Boxes  |  frequency

        4           |         6

        5           |         2

        6           |         2

        7           |         0

        8           |         3

        9           |         2

        10          |        2

        11           |        1

        12           |       2

Use his results to estimate the probability that it takes 9 or more boxes to get all 4 prizes. Give your answer as either a fraction or a decimal.

P ( 9 or more boxes ) =  

P(x ≥ 9) = 0.35

Step-by-step explanation:

We are given that a cereal company is putting of 4 prizes in each box of cereal.

The  probability of winning any given prize is always 1/4.

Lilly is wondering how many boxes she should buy to get all 4 prizes so she carried out 20 trials.

We want to estimate the probability that it takes 9 or more boxes to get all 4 prizes.

Let x be the required number of boxes then the required probability is given by

P(x ≥ 9) = No. of times boxes equal or greater than 9/total no. of boxes  

Total no. of boxes = 20

From the given simulation results count the number of times she got boxes equal to 9 or greater than 9.

No. of times boxes equal or greater than 9 = 2 + 2 + 1 + 2 = 7

P(x ≥ 9) = 7/20

P(x ≥ 9) = 0.35

P(x ≥ 9) = 35%

Therefore, there is 35% probability that it takes 9 or more boxes to get all 4 prizes.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

c

step-by-step explanation: