In exercises 19–24, solve the triangle. round decimal answers to the nearest tenth. (see examples 6 and 7.) 19. 20. 21. 22. 23. b c a 29 63° 38 24. 25. error analysis describe and correct the error in fi nding m∠c. — sin c 6 = — sin 55° 5 sin c = — 6 sin 55° 5 m∠c ≈ 79.4° ✗ c b a 5 6 55° monitoring progress and modeling with mathematics onitoring progress and modeling with mathematics 1. writing what type of triangle would you use the law of sines or the law of cosines to solve? 2. vocabulary what information do you need to use the law of sines? vocabulary and core concept check ocabulary and core concept check c b a 5 12 13 c b a 28 18 13 b

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000