In a box there are four prizes that are worth $20, three prizes worth $300, and one prize worth $2000. a player will reach into the box and draw one of the prizes at random. what is the fair price for this game?

The fair price for this game is $372.5

Step-by-step explanation:

Let's start by calculating the expected value for this game.

Let's call X to the random variable : ''The earnings for this game''

We calculate E(X) by multiplying the probability of the random variable assuming the value ''xi'' by the prize for ''xi'' and adding for all its values.

There is a total of 8 prizes.

4 prizes out of a total of 8 worth $20.

3 prizes out of a total of 8 worth $300

1 prize out of a total of 8 worth $2000.

$372.5

The expected value for X is $372.5

Therefore, its reasonable set the ''fair price'' in $372.5 for this game.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

the answer is d

hope this