Geometric Probability May 9, 2003 Geometric Probability GEOMETRY LESSON 7-8 Pages 404-407 Exercises 1. 2. 3. 4. 5. 1 6. 7. or 40% 1 2 3 5 10 8. or 50% 9. or about 27% 10. or about 57% 11. or about 33% 12. or about 47% 13. or 62.5% 14. 15. or 25% 1 2 4 15 7 3 5 8 6 16. 25% 17. or 40% 18. or about 67% 19. or about 61% 20. or about 21% 21. 4% 22. 6 23. 2 5 3 2 + 4 – 4 7-8

Geometric Probability May 9, 2003 Geometric Probability GEOMETRY LESSON 7-8 24. 25. 26. or about 16% 27. a. 14 prizes b. $110 28. a. or 60% 4 10 200 3 5 29. 36 s 30. about 5.6% 31. a. If it starts after 45 min, you cannot erase 15 min of a 60-min tape. 31. (continued) b. or about 16% 32. 33. 34. 35. 0 36. 7 45 3 5 10 9 20 1 40 7-8

Geometric Probability May 9, 2003 Geometric Probability GEOMETRY LESSON 7-8 37. 1 38. 39. 0.06 40. about 46% 41. about 36% 42. about 58% 43. about 46% 44. a. yes         b. no           c.  2 3 10 10 – 2 45. a–b. Check students’ work. 46. a. 45 cm       b. 63 cm        c. 71 cm d. 77 cm       e. 89 cm        f. 100 cm 47. 49%; the probability is the same. 24 49 48. A 49. I 50. [2] = 0.6 = 60% [1] no work shown OR correct explanation and a computational error area of circle area of triangle (1)2 3 3 7-8

Geometric Probability May 9, 2003 Geometric Probability GEOMETRY LESSON 7-8 3 2 1 784 54. 50 ft2 55. x = 36; y = 144 56. x = 45; y = 90 57. a. D(3, 1); E(1, 4) b. slope DE = – ; slope AC = – c. DE and AC have the same slope. d. DE = 13; AC = 2 13 e. 13 = • 2 13 51. [4] a. (area of circle) = ( • 282) = m2 b. Area of = bh = (28 3)(14) = 196 3, so area of segment = – 196 3 481.5 m2; the shaded area is the area of the 120° sector minus the area of the . [3] one computational error OR incorrect explanation [2] one computational error and incorrect explanation [1] one correct answer OR a correct explanation 52. 100 ft2 53. 12 cm2 7-8