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Math 185 final Fall 2009

# Math 185 final Fall 2009 - Math 185 PR FINAL Answer ANY 10...

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Math 185 PR — FINAL — December 17, 2009 Answer ANY 10 COMPLETE questions OUT OF 12. Show your work/computations. Only non-computer/non-cell phone calculators allowed. Good luck! Total: 100 pts. 1. (a) If Q = { x | x is a rational number } , I = { x | x is an irrational number } , and R = { x | x is a real number } , find each of the following sets: (i) Q I , (ii) Q I , (iii) Q R . (b) List the first ten counting numbers in BASE THREE . 2. (a) If U = { 1 , 2 , 3 , 4 , 5 , 6 } , A = { 1 , 2 , 4 , 5 } and B = { 2 , 3 , 4 } , find: (i) A B , (ii) A B , (iii) A , (iv) A - B , (v) n ( A × B ) (where A denotes the complement of A , and n denotes cardinal number). (b) Convert the repeating decimal 0 . 2 7 to a ratio of integers, reduced to lowest terms . 3. (a) Suppose the set C is a proper subset of the set D , and that n ( C ) = 3 and n ( D ) = 5. What is n ( C D )? (b) Do the following subtraction directly IN BASE FIVE , showing any borrowing or carrying : 1222 five - 333 five 4. (a) Assume that giving birth to a boy or a girl are equally likely events. Find the probability that a couple having three children will have all boys.

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Math 185 final Fall 2009 - Math 185 PR FINAL Answer ANY 10...

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