Answer:
The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Step-by-step explanation:
A student that purchases 10 tickets out of 2900 has a probability of winning the cruise that can be calculated as:

Each ticket cost $5, so he has spent $50 for the 10 tickets.
Then, the expected value of this operation is equal to the expected value of the earnings (probability of winning the prize multiplied by the value of the prize), minus the costs:

The mathematical expectation of a student who purchases 10 tickets is -$39.65.
Answer:
11 hours
Step-by-step explanation:
104 dollars for 8 hours of work. So how much money per hour?
104/8= 13 dollars per hour
At the same rate = 13 dollars per hour, so
How many hours to make 143 dollars? With the same rate?
143/13 = 11 hours
Answer:
An exponent
Step-by-step explanation: So if we have 83, we want to multiply three 8s, or 8 * 8 * 8. A root is basically the opposite. We're trying to find the number that we multiply by itself a certain number of times to get the number under the radical sign.
Answer:
24 inches
Step-by-step explanation: