The following are all possible prizes with their probabilities from the funniest dancer competition. prize in dollars 0 10 50 100 200 500 probability .3 .2 .2 .1 .1 .1 What is the mean (average) winning for a competitior in this competition.

What is the solution to the system of the equations? x = y - 3 x + 3y = 13

What is the name used to describe a graph where for some value of x, there exists 2 or more different values of y?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?