Chapter 0 Posttest State which metric unit you would probably use to measure each item. 1. mass of a book SOLUTION: The masses of objects that are small are measured in grams. The mass of a book is small. The gram is the appropriate unit of measure. 2. length of a highway SOLUTION: The length of a highway can not be measured using a ruler. This length is very long. The kilometer is the appropriate length unit of measure. Complete each sentence. 3. 8 in. = ft SOLUTION: 8 in. = ft 4. 6 yd = ft SOLUTION: 6 yd = ft 6 yd = 6 × 3 = 18 ft 5. 24 fl oz = larger unit→smaller unit 1 yd = 3 ft, × by 3. Simplify pt SOLUTION: 24 fl oz = c smaller unit→larger unit 24 fl oz = 24 ÷ 8 8 fl oz = 1 c, ÷ by 8 Simplify 3 c = pt smaller unit→larger unit 3 c = 3 ÷ 2 1 pt = 2 c, ÷ by 2 = 1.5 pt Simplify = 3c eSolutions Manual = - Powered 6. 3.7 kg lb by Cognero SOLUTION: Page 1 3 c = pt smaller unit→larger unit 3 c = 3 ÷ 2 1 pt = 2 c, ÷ by 2 = 1.5 pt Chapter 0 Posttest Simplify 6. 3.7 kg = lb SOLUTION: 3.7 kg = lb 1 kg ≈2.2 lb, × by 2.2 Multiply. Round. 3.7 kg ≈ 3.7 × 2.2 ≈ 8.14 ≈ 8.1 lb 7. 4.2 km = m SOLUTION: 4.2 km = m 4.2 km = 4.2 × 1000 1 km =1000 m, × by 1000 8. 285 g = kg SOLUTION: 285 g = kg 285 g = 285 ÷ 1000 1000 g = 1 kg, ÷ by 1000 = 0.285 kg Division. ≈ 0.29 kg Round 9. 0.75 kg = mg SOLUTION: 0.75 kg = = = 1g = ≈ ≈ g 0.75 × 1000 1 kg = 1000 g, × by 1000 50 g Multiply. mg 750 × 1000 750,000 mg 1 g = 1000 mg, × by 1000 Multiply. 10. 1.9 L = qt SOLUTION: 1 L = qt 1 L ≈ 1.9 × 1.057 1 L ≈ 1.057 qt, × by 1.057 Multiply. ≈ 2.1 qt 11. PROBABILITY The table shows the results of an experiment in which a number cube was rolled. Find the experimental probability of rolling a 4. eSolutions Manual - Powered by Cognero Page 2 SOLUTION: 1 L = qt 1 L ≈ 1.9 × 1.057 1 L ≈ 1.057 qt, × by 1.057 Multiply. ≈ 2.1 qt Chapter 0 Posttest 11. PROBABILITY The table shows the results of an experiment in which a number cube was rolled. Find the experimental probability of rolling a 4. SOLUTION: The experimental probability for getting a 3 in this case is or 12%. CANDY A bag of candy contains 3 lollipops, 8 peanut butter cups, and 4 chocolate bars. A piece of candy is randomly drawn from the bag. Find each probability. 12. P(peanut butter cup) SOLUTION: The probability of an event A is the ratio of the number of favorable outcomes to the total number of outcomes. There are a total of 3 + 8 + 4 = 15 candies in the bag. Out of the 15, 8 are peanut butter cups. The number of possible outcomes is 15 and the number of favorable outcomes is 8. Therefore, 13. P(lollipop or peanut butter cup) SOLUTION: The probability of an event A is the ratio of the number of favorable outcomes to the total number of outcomes. There are a total of 3 + 8 + 4 = 15 candies in the bag. Out of 15, 3 are lollipops and 8 are peanut butter cups. The number of possible outcomes is 15 and the number of favorable outcomes is 3 + 8 = 11. Therefore, eSolutions Manual - Powered by Cognero Page 3 Therefore, Chapter 0 Posttest 13. P(lollipop or peanut butter cup) SOLUTION: The probability of an event A is the ratio of the number of favorable outcomes to the total number of outcomes. There are a total of 3 + 8 + 4 = 15 candies in the bag. Out of 15, 3 are lollipops and 8 are peanut butter cups. The number of possible outcomes is 15 and the number of favorable outcomes is 3 + 8 = 11. Therefore, 14. P(not chocolate bar) SOLUTION: The probability of an event A is the ratio of the number of favorable outcomes to the total number of outcomes. There are a total of 3 + 8 + 4 = 15 candies in the bag. Out of 15, 4 are chocolate bars. 15. P(chocolate bar or lollipop) SOLUTION: The probability of an event A is the ratio of the number of favorable outcomes to the total number of outcomes. There are a total of 3 + 8 + 4 = 15 candies in the bag. Out of 15, 4 are chocolate bars and 3 are lollipops. The number of possible outcomes is 15 and the number of favorable outcomes is 4 + 3 = 7. eSolutions Manual - Powered by Cognero Page 4 Chapter 0 Posttest 15. P(chocolate bar or lollipop) SOLUTION: The probability of an event A is the ratio of the number of favorable outcomes to the total number of outcomes. There are a total of 3 + 8 + 4 = 15 candies in the bag. Out of 15, 4 are chocolate bars and 3 are lollipops. The number of possible outcomes is 15 and the number of favorable outcomes is 4 + 3 = 7. eSolutions Manual - Powered by Cognero Page 5
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