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.

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is