Adrawer contains n white and n black socks. each white sock has a unique design, and each black sock has a unique design. two socks are selected at random from the drawer. every way of selecting the two socks is equally likely, and the order in which the socks are selected does not matter. source: aduni, modified by sandy irani. (a) how many ways are there to select the two socks?

How can you tell when x and y are not directly proportional?

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?

Plz. yesterday, the snow was 2 feet deep in front of archie’s house. today, the snow depth dropped to 1.6 feet because the day is so warm. what is the percent change in the depth of the snow?