Suppose your cousin’s Tooth Fairy leaves $1 one-third of the time, $0.50 one-third of the time, and $0.80 one-third of the time. What’s the expected value of her Tooth Fairy payoff?

Name these type of angles shown check all that applies

Solve the equation x/4 - 5= -8 -27 -12 -7 12

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?