Your school’s baseball team sells 1250 raffle tickets at $4 each. The grand prize is a $3000 boat. The second prize is a $450 grill. There are also ten $25 gift certificates. Calculate the expected value of the winnings for a single-ticket purchase. Show the work that leads to your answer.

The expected value of the winnings for a single-ticket purchase is -$1.0016.

Step-by-step explanation:

The total number of tickets sold is, N = 1250.

Cost of one ticket is, $4.

Let X = amount of prize.

The prize distribution is as follows:

1 Grand price = $3000

1 Second prize = $450

10 Third prize = $25

The expected value X can be computed using the formula:

Compute the probability distribution of X as follows:

     Prize        Amount (X)         P (X)                    x · P (X)

1 Grand prize    $3000            

1 Second prize  $450                

10 Third prize      $25                  

No prize             -$4        

TOTAL                              1.0000                            -1.0016

Thus, the expected value of the winnings for a single-ticket purchase is -$1.0016.

it would to have a graph or something ! but i had this question so its false

step-by-step explanation:

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it