Let r+ denote the set of positive real numbers. let f : r × r+ → r be given by f(x, y) = x/y.
(a) is f an injective function? prove your answer.
(b) is f a surjective function? again, prove your answer.
(c) is f a bijection? prove your answer

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The host of a game show is holding a bag with chips to see what prizes the contestants will play for. five (5) of the chips say “new car” ten (10) of the chips say “new tv” three (3) of the chips say “trip to france” contestant named “patty” reaches into the bag. a. what is the probability of choosing a tv chip? b. what is the probability of choosing a car chip next without replacing the 1st chip? c. are these dependent or independent events?

There are 10 chicks on ginger's farm .she has 2 chicks in one outdoor pen and 5 chicks in another. the rest of the chicks are in the barn. what is the fraction of total chicks in outdoor pens?