9.2 Review Worksheet (continued)
15. A square has vertices (3, 2), (8, 2), (8, 7), and (3, 7). If you triple the area, what happens to the side length?
16. Two televisions have rectangular screens with the same ratio of base to height. One has a 32 in. diagonal, and the other has a 36 in. diagonal. a. What is the ratio of the diagonal of the larger screen to that of the smaller screen?
b. What is the ratio of the area of the larger screen to that of the smaller screen?
9.2.3 Geometric Probability A point is chosen randomly on HM . Find the probability of each event. Round to the nearest hundredth. 17. The point is on JK .
16.4 H J
21.9 15.3 14.8
K
L
M
18. The point is not on LM .
19. The point is on HJ or KL .
20. The point is not on JK or LM .
A radio station gives a weather report that lasts 45 seconds. It then moves onto other news for the next 14 minutes and 15 seconds before repeating the cycle. Suppose you turn the radio on at a random time. 21. Find the probability that the weather report will be on when you turn on the radio.
22. Find the probability that you will have to wait more than 5 minutes to hear the weather report.
23. If you turn on the radio at 50 random times, predict about how many times you will have to wait less than 1 minute before the start of the next weather report.
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