Group Work #4 Question 1 of 17 Determine whether or not the events are mutually exclusive. Roll a die: Get a number greater than 3 , or get a number less than 3 . The events are mutually exclusive. The events are not mutually exclusive. Question 2 of 17 At the animal shelter where Miguel volunteers on the weekends, there were three Siamese cats, five tabby cats, seventeen mixed-breed dogs, and eight iguanas in their cages. If a customer picks any of these animals at random, find the probability that the animal is either a mixed-breed dog or a Siamese cat. Express your answer as a reduced fraction. The probability that the animal is either a mixed-breed dog or a Siamese cat is . Question 3 of 17 When Milo went to register for classes at the last minute, the only classes left to take were six math courses, four computer science courses, two statistics courses, and two science courses. He shut his eyes and picked one at random. Find the probability that Milo selected either a science course or a math course. Express your answer as a reduced fraction. (The probability that Milo will ever graduate using this strategy is an interesting question, too.) The probability that Milo selected either a science course or a math course is PDF Page 1 / 8 . 2020 McGraw-Hill Education. All Rights Reserved. Question 4 of 17 In my Tae Kwon Do class, there are four black belts, five red belts, one blue belt, six green belts, and five yellow belts. If the sensei selects a student at random to lead the warm-up, find the probability as a reduced fraction that the person is (a) Either a black belt or a blue belt. (b) Either a black belt, a green belt, or a yellow belt. (c) Either a green belt or a yellow belt. Part 1 of 3 (a) Either a black belt or a blue belt. The probability that the student is either a black belt or a blue belt is . Part 2 of 3 (b) Either a black belt, a green belt, or a yellow belt. The probability that the student is either a black belt, a green belt, or a yellow belt is . Part 3 of 3 (c) Either a green belt or a yellow belt. The probability that the student is either a green belt or a yellow belt is . Question 5 of 17 You roll two dice as part of a casino game. Express your answers as reduced fractions. Find the probability of rolling a sum of 4 , 5 , or 6 . Find the probability of rolling doubles or a sum of 6 or Find the probability of rolling a sum of greater than PDF Page 2 / 8 8. 9 , less than 4 , or equal to 7 . 2020 McGraw-Hill Education. All Rights Reserved. Part 1 of 3 Find the probability of rolling a sum of The probability is 4 , 5 , or 6 . . Part 2 of 3 Find the probability of rolling doubles or a sum of 6 or The probability is 8. . Part 3 of 3 Find the probability of rolling a sum of greater than The probability is 9 , less than 4 , or equal to 7 . . Question 6 of 17 In a recent year, the following statistics for electrical energy generation in a certain country were reported. Source Billion kilowatt hours Fossil fuels 2893.6 Nuclear 700.5 Hydroelectric 203.3 Miscellaneous renewables 369 If three homes from this country are picked at random, find the probability that all three got their electricity from a source other than hydroelectric. PDF Page 3 / 8 2020 McGraw-Hill Education. All Rights Reserved. If three homes from this country are picked at random, find the probability that all three got their electricity from a source other than hydroelectric. Round any intermediate calculations to at least four decimal places. The probability that all three got their electricity from a source other than hydroelectric is , rounded to three decimal places. Question 7 of 17 During a game of online hearts, four cards are dealt, one at a time without replacement, from a shuffled, ordinary deck of cards. Find these probabilities rounded to six decimal places: (a) All are red cards. (b) All are hearts. (c) All are jacks. Part 1 of 3 (a) All are red cards. The probability that the four cards dealt are all red cards is . Part 2 of 3 (b) All are hearts. The probability that the four cards dealt are all hearts is . Part 3 of 3 (c) All are jacks. The probability that the four cards dealt are all jacks is PDF Page 4 / 8 . 2020 McGraw-Hill Education. All Rights Reserved. Question 8 of 17 A computer randomly deals an ordinary deck of cards for a game of FreeCell, and the first card dealt is a red card. Find the probability that the card was also a heart. Write your answer in exact simplified form. The probability that the card was also a heart is . Question 9 of 17 Solve the equation. Simplify your answer if possible. 5 b 2 + 2 = 8 b + 4 The solution set is . Question 10 of 17 Solve the equation. Simplify your answer if possible. 3 5 y 2 = 4 2 y + 5 y 9 The solution set is . Question 11 of 17 Solve the equation. Simplify your answer if possible. y 1 y +7 y +4 = +2 4 3 5 The solution set is PDF Page 5 / 8 . 2020 McGraw-Hill Education. All Rights Reserved. Question 12 of 17 Identify the equation as a conditional equation, a contradiction, or an identity. Then give the solution set. 3 4 6 x 1 = 5 x 5 13 x Part 1 of 2 The equation is a conditional equation. a contradiction. an identity. Part 2 of 2 The solution set is . Question 13 of 17 Identify the equation as a conditional equation, a contradiction, or an identity. Then give the solution set. 1 1 n +9 = n +4 2 4 PDF Page 6 / 8 2020 McGraw-Hill Education. All Rights Reserved. Part 1 of 2 The equation is a conditional equation. a contradiction. an identity. Part 2 of 2 The solution set is . Question 14 of 17 Solve the equation. 6 1 = 2 n 6 n 36 The solution set is all real numbers. The solution set is the empty set, . The solution set is a finite set. The solution set is PDF Page 7 / 8 . 2020 McGraw-Hill Education. All Rights Reserved. Question 15 of 17 4 -yr CD (certificate of deposit) that returned the equivalent of 5.5 % simple interest. He invested $ 1000 less in a 6 -month CD that had a 3 % simple interest return. If the total amount of interest from these investments was $ 690.00 , determine how much was Fernando invested money in a invested in each CD. Fernando invested $ in the 4 -yr CD and $ in the 6 -month CD. Question 16 of 17 Two passengers leave the airport at Kansas City, Missouri. One flies to Los Angeles, California, in hr and the other flies in the opposite direction to New York City in 2 7.2 hr. With prevailing westerly 36 mph faster than the speed of the plane to Los Angeles. If the total distance traveled by both planes is 2464 mi, determine the average speed of winds, the speed of the plane to New York City is each plane. Part 1 of 2 The plane to Los Angeles travels mph . Part 2 of 2 The plane to New York City travels mph . Question 17 of 17 50 % saline solution with a 30 % solution. How much of the 30 % solution should he use? A nurse mixes 40 The amount of PDF Page 8 / 8 cc of a 30 % saline solution needed is saline solution to produce a 38 % saline cc. 2020 McGraw-Hill Education. All Rights Reserved