Keegan buys Ia bag of cookies that contains 4 chocolate chip cookies, 4 peanut butter cookies, 6 sugar cookies and 7 oatmeal raisin cookies. What is the probability that Keegan randomly selects an oatmeal
raisin cookie from the bag, eats it, then randomly selects another oatmeal raisin cookie? Express your
answer as a reduced fraction.

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?

Find the solutions for a triangle with a =16, c =12, and b = 63º

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?