Arandom sample of 30 receipts for individuals shopping at the community drug store showed the sample mean to be`x = $28. 19 with sample standard deviation s = $4.06 a. use chevyshev’s theorem to find the smallest interval centered on the mean in which we can expect at least 75% of the data to fall.

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?