Answer:
57
Step-by-step explanation:
The player has a 1/4 chance of drawing any of the 4 prizes. This means that the probability of drawing a prize of $4 is 1/2 because there are 2 prizes worth of $4. The probability of drawing a prize of $20 is 1/4 and the probability of drawing a prize of $200 is also 1/4. To find the fair price of the game, we have to calculate the expected value that the player will gain. This can be obtained by multiplying any possible value of a price for the probability of drawing a prize of that value and adding all the obtained values togueter. Thus, the fair price of the game is

Answer: 
Step-by-step explanation:
1. You have the following information given in the problem above:
- y represents total earnings in dollars .
- x represents hours worked.
2. Keeping on mind that the expression must model the wages of someone who makes $11.50 in an hour, this amount of money per hour must multiply the hours worked, which is represented by x.
3. Therefore, you can write the following equation:

Answer:
He needs to sell 100 souvenirs
Step-by-step explanation:
We want to know the number of souveniers John has to sell
Let the number of souveniers he sold at the game be s
At a rate of $0.25 per souvenier, the amount earned on souveniers for s souveniers will be:

Now, if we added this to the amount he earns per game, we will have the total $35 earned for working at one game.
Thus, mathematically:

If you would like to know how many hours did Judd work outside, you can calculate this using the following steps:
40 hours
outside: 7/10 of the hours = 7/10 * 40 hours = 7/10 * 40 = 28 hours
Judd worked 28 hours outside.