Mohamed wonders how many boxes he should expect to buy to get all 333 prizes. He carried out 242424 trials of a simulation and his results are shown below. Each dot represents how many boxes it took to get all 333 prizes in that trial.

0.625

Step-by-step explanation:

The question is incomplete. The complete question has been attached to the solution.

The prizes are even distributed, so the probability of winning any prize = 1/3

We are asked to find probability that it takes more than 3boxes to get the three prizes = Pr(more than 3boxes)

Total number of trials =24

From the simulation, the purchase of more than 3 boxes to get all the 3 prizes = addition of the number of dots after the 3rd number of box purchased on the horizontal axis.

=(3+4+4+1+2+1) = 15

Since it took more than 3boxes, we have 15 out of the 24 simulation trials.

Pr(more than 3boxes) = 15/24

Pr(more than 3boxes) = 5/8

= 0.625

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

think the answer would beb