Mathematics 30 June 1999 Grade 12 Diploma Exam

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Use the following information to answer the next question. Owners of vehicles in North America are required to purchase licence plates. In Alberta, standard licence plates consist of 3 letters followed by 3 digits. Written Response—10% 2. • Determine the maximum number of different standard licence plates available. State any assumption(s) that you make. • Using the same assumptions that you stated above, determine the probability that you would receive MRF 456 if you were randomly issued a standard licence plate. 28
• Assume that it becomes necessary to increase the number of available licence plates. Provide two alternative proposals in which a maximum of 6 characters, consisting of letters and/or digits, can be used. In your explanation, include any assumptions you make and determine the number of licence plates for each proposal. Written-response question 3 begins on the next page. 29
Page 1 and 2: athematics 30 Mathematics 30 Mathem
Page 3 and 4: Multiple Choice • Decide which of
Page 5 and 6: 1. The function f (x) = x 3 - 6 is
Page 7 and 8: Use the following information to an
Page 9 and 10: Numerical Response 1. The polynomia
Page 11 and 12: 13. If (π, -6) satisfies the equat
Page 13 and 14: 14. Given that log b 64 = 3 , the v
Page 17 and 18: Numerical Response 4. An exponentia
Page 21 and 22: 25. The foci of a hyperbola are F 1
Page 25 and 26: 32. If the sum of the first n terms
Page 27 and 28: 37. In the expansion of (x + 2y) 8
Page 31: • Write an expression for t n as
Page 35 and 36: • Identify the error that was mad
Page 37 and 38: Fold and tear along perforation. 0
Page 39 and 40: No marks will be given for work don
Page 41 and 42: Mathematics 30 Diploma Examination
Page 43 and 44: SAMPLE ANSWERS TO THE WRITTEN-RESPO
Page 45 and 46: • The store will lose money on th
Page 47 and 48: • Assume that it becomes necessar
Page 49 and 50: A POSSIBLE SOLUTION Student A Stude

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