A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 206 vinyl gloves, 69% leaked viruses. Among 206 latex gloves, 99% leaked viruses. Using the accompanying display of the technology results, and using a 0.10 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves.

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?

Find the domain and range of the following function f(x) = 51x - 21+ 4

An ant travels at a constant rate of 30cm every 2 minutes.at what speed does the ant travel per minute