The owner of a bakery wants to know whether customers have any preference among 5 different flavors of muffin. a sample of 200 customers provided the data below. use a = 0.01. the table below shows how many people were tested at each location and their stated preferences flavor orange blueberry chocolate vanilla vanilla and raisins # of customers 30 52 38 36 44 calculate the chi-square test statistic x 2. test the claim that the probabilities show no preference.

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?

What does the sign of the slope tell you about a line?

In dire need~! describe how to use area models to find the quotient 2/3 divided by 1/5. check your work by also finding the quotient 2/3 divided by 1/5 using numerical operations only.