Find the expected value.Suppose that 2000 tickets are sold for a raffles that has the following prizes: one $200 prize, three $100 prizes and five $50 prizes. What is the expected value of a ticket?

Find the odds.If two fair dice are thrown, what are the odds in favor that the sum of the two numbers on the die will be 7?

Find the odds.If two fair dice are thrown, what are the odds in favor that the sum of the two numbers on the die will be 7?

Solve the problem. Round to the nearest cent as needed. How much would Jill have to invest now into an account paying 4.5% compounded continuously, to have $10,000 in five years?

Provide an appropriate response.For the following linear system, find the value of the basic variables and determine if the basic solution is feasible:    if x2 and s1 are chosen as nonbasic variables.

Provide an appropriate response.For the following linear system, find the value of the basic variables and determine if the basic solution is feasible:    if x2 and s1 are chosen as nonbasic variables.

Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. Animals in an experiment are kept on a strict diet. Each animal receives 50 gm of protein and 7 gm of fat. The lab tech uses food Mix A and B. Mix A has 20% protein and 6% fat. Mix B has 50% protein and 5% fat. How many grams of each mix should be used to feed 1 animal?  Let x represent the grams of  Mix A and  y represent the grapms in  Mix B.

Solve the problem. Round to the nearest cent.Larry wants to start an IRA that will have $400,000 in it when he retires in 22 years. How much should he invest semiannually in his IRA to do this if the interest is 9% compounded semiannually?

Find the probability.A 6-sided die is rolled. What is the probability of rolling a number greater than 5?

Suppose a horse feed is to be mixed from soybean meal and oats must contain at least 360 lbs of protein and 240 lbs of fat. A sack of soybean meal costs $20 and contains 40 lbs of protein and 12 lbs of fat. Each sack of oats costs $10 and contains 30lbs of protein and 30 lbs of fat. Which graph correctly represents the feasible region?