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Practice Final Exam

# Practice Final Exam - M118 FINAL EXAMINATION Printed Name...

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M118 FINAL EXAMINATION DECEMBER 11, 2006 Printed Name: ______________________________________________ Signature: _________________________________________________ Instructor: ___________________ seat number: _____________ INSTRUCTIONS: This exam consists of 30 multiple-choice questions. Each question has one correct answer choice. Indicate your answer choice for each question by placing the appropriate CAPITAL letter in the correct space below. You may write in the test as much as needed, but no credit is given for anything written inside the exam itself. You may use only one-line or two-line scientific calculators. Please keep this cover page attached to your exam. GOOD LUCK! PLEASE USE CAPITAL LETTERS. 1) __________ 11) __________ 21) __________ 2) __________ 12) __________ 22) __________ 3) __________ 13) __________ 23) __________ 4) __________ 14) __________ 24) __________ 5) __________ 15) __________ 25) __________ 6) __________ 16) __________ 26) __________ 7) __________ 17) __________ 27) __________ 8) __________ 18) __________ 28) __________ 9) __________ 19) __________ 29) __________ 10) _________ 20) __________ 30) __________ SCORE: ____________

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PROBLEM 01: A universal set U has two disjoint subsets, A and B, with n(U) = 110, n(A) = 42, and n(B) = 57. Which of the following is n( A’ B’ ) ? A) 1 C) 68 E) 11 B) 15 D) 21 N) none of the above PROBLEM 02: A die is weighted so that all of the even numbers are equally likely, and all of the odd numbers are equally likely. In addition, each even number is three times as likely as each odd number. If this die is rolled 400 times, how many times should we expect to roll a “2” ? PROBLEM 03: A system of equations A·X=B is given by: = = = 1 4 2 and , , 5 0 2 2 1 0 2 0 1 B z y x X A . Which of the following is the value of y ? PROBLEM 04: A code is formed by selecting four letters from the set L = { A, B, C, D, E }, without replacement. For example, CDAB and DABC are two possible codes, but CAEC is not a possible code. How many such codes will contain the letter “D” ?
PROBLEM 05: Britney Spears’ new perfume, Uninhabited , comes in two strengths, regular and industrial strength. Each bottle of regular strength uses 3 ounces of skunk scent and 2 ounces of buttermilk, and each bottle of industrial strength uses 8 ounces of skunk scent and 2 ounces of buttermilk. Each day, Britney has 1080 ounces of skunk scent and 420 ounces of buttermilk to be used for making perfume. If Britney makes the correct number of bottles of each strength to use up all of the available ingredients, how many bottles of industrial strength perfume will Britney make? A) 90 C) 165 E) 120 B) 45 D) 100 N) none of the above

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