An educational consulting firm is trying to decide whether high school students who have never used a handheld calculator can solve a certain type of problem more easily with a calculator that uses reverse polish logic or one that does not use this logic. a sample of 25 students is selected and allowed to practice on both calculators. then each student is asked to work one problem on the reverse polish calculator and a similar problem on the other. let p = p(s), where s indicates that a student worked the problem more quickly using reverse polish logic than without, and let x = number of s

There were 816 people at a concert when a band started to play. after each song, only half the people stayed to hear the next song. how many people were left at the concert after x songs? write a function to represent this scenario.

The random variable x represents the number of phone calls an author receives in a day, and it has a poisson distribution with a mean of 8.7 calls. what are the possible values of x

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?