CC 7 Final Review Part 1 KEY Name: __________________________________ Period: ___ Use the following information for questions 1 and 2: Jacob is deciding what to have for lunch. He will choose randomly from his kitchen: Sandwich: Turkey, ham, cheese Fruit: Apple, orange, peach Drink: Water, juice 1. If each lunch consists of a sandwich, piece of fruit, and drink, how many different lunches can Jacob make? 3 sandwiches x 3 types of fruit x 2 drinks = 18 different lunch combinations 2. If Jacob chooses randomly, what is the probability that he will eat a turkey sandwich and orange today? P(turkey and orange) = 2/18 = 1/9 3. There are 6 blocks in a bag: yellow, blue, green, white, black, and red. If you pick a block, put it back, and pick another block, what is the probability of choosing yellow two times? P(yellow and yellow) = 1/6 x 1/6 = 1/36 4. There are 6 blocks in a bag: yellow, blue, green, white, black, and red. If you pick a block, keep it out of the bag, and then pick another block, what is the probability of choosing blue then black? P(blue then black) = 1/6 x 1/5 = 1/30 Refer to the diagram for questions 5 and 6. Use 3.14 for pi. 5. Find the area of the figure, rounded to the nearest hundredth. Area = rectangle + half circle Area = 8 x 10 + ½(3.14 x 4 x 4) Area = 80 + 25.12 = 105.12 square feet 6. Find the perimeter of the figure, rounded to the nearest hundredth. Perimeter = 8 + 10 + 10 + ½(3.14 x 8) Perimeter = 28 + 12.56 = 40.56 feet 7. Find the surface area of this square pyramid. Surface Area = base + 4 triangles on sides Surface Area = 10 x 10 + 4(½ x 10 x 16) Surface Area = 100 + 320 Surface Area = 420 square meters 10 m Use the following information and the diagram for problems 8-10. Seattle, San Antonio, and New York measured temperatures in January, February, and March over 60 days. The box and whisker compares the distributions of temperatures in different cities. 8. What is the range of the San Antonio temperatures? Range = Maximum – Minimum Range = 95 – 61 = 34 9. What is the upper quartile of the New York temperatures? Upper Quartile = 78 10. According the box and whisker plots, which of the following statements are true? I. At least 75% of the San Antonio temperatures are higher than 75% of the Seattle temperatures. 75% of San Antonio between 69 and 95, 75% of Seattle between 46 and 69.5 - False II. Of the 60 temperatures in New York, 15 were higher than 63⁰. 50% of temperatures were higher than 63 and 50% of 60 is 30, not 15 – False III. New York temperatures have a higher range than San Antonio temperatures. New York range = 85 – 38 = 47, San Antonio range = 95 – 61 = 34 - True