01-f96-q4 - phosphates, 15 were polluted by both sulphates...

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Instructor: Prof. A. Suciu Name: MTH 1101 — QUIZ 4 — FALL 1996 Instructions : Put your name in the blanks above. Put your fnal answers to each question in the designated spaces on these test pages. Show your work—iF there is not enough room, use the back oF the page. 1) List the elements in set S , where S is deFned by: 1 point each a) S = { x | x is an even integer between 3 and 3 } = b) S = { x | x is a letter in the word “northeastern” } = 2) Let U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } , A = { 1 , 2 , 3 , 4 } , B = { 1 , 5 , 6 } , C = { 2 , 5 , 8 } . a) ±ind each of the following: 1 point each i) A { = ii) B C = iii) B C { = iv) A B { = v) ( A C ) B = vi) ( ∅∩ A ) B = vii) ( ∅∪ A ) B = b) Determine whether each of the following is true or false: 1 point each i) 4 B ii) 4 / C iii) A B iv) B U v) ∅⊆ A vi) A *
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PROF. A. SUCIU MTH 1101 — QUIZ 4 FALL 1996 3) In a pollution study of 200 rivers: 58 were polluted by sulphates, 35 were polluted by phosphates, 48 were polluted by crude oil, 21 were polluted by both sulphates and
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Unformatted text preview: phosphates, 15 were polluted by both sulphates and crude oil, 12 were polluted by both phosphates and crude oil, and 8 were polluted by all three. a) Draw a Venn diagram with this information. 4 points b) How many rivers were polluted by 1 point each i) at least two of these impurities? ii) exactly one of these impurities? iii) none of these impurities? 4) The Sox and the Yanks are to play a best-of-three series. a) Draw a tree diagram showing all the possible series. 4 points b) List all the possible series. 2 points c) The number of possible 2-game series is: . 2 points The number of possible 3-game series is: ....
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This note was uploaded on 01/12/2010 for the course MATH 1101 taught by Professor A.sucio during the Fall '06 term at San Jose State University .

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01-f96-q4 - phosphates, 15 were polluted by both sulphates...

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