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Homework: Sec 3.2 Homework Score: 0.5 of 1 pt 12 of 14 (14 complete) 3.2.33 Determine the truth value of the statement (~r A ~p) A q using the following conditions. a) p is true, q is true, and r is true. b) p is false, q is false, and r is true. a) If p is true, q is true, and r is true, what is the value of (~r A ~P) A q? O True FalseHomework: Sec 2.4 Homework Save Score: 0.33 of 1 pt 18 of 18 (17 complete) HW Score: 89.35%, 16.08 of 18 pt 2.4.ICV1 Question Help Watch the video and then complete parts (a) through (c) below. Click here to watch the video. In the given Venn Diagram, sets are labeled with uppercase letters, A, B, C, and U, and regions are labeled with lowercase letters p, q, r, s, t, u, and v. Identify the region(s) that result from performing the given set operations. (a) List the region(s) included in A' . {p. q, T, w } (Use a comma to separate answers as needed.) (b) List the region(s) included in B U C. (Use a comma to separate answers as needed.)Homework: Sec 2.5 Homework Score: 0.4 of 1 pt 3 of 7 (7 complete) V 2.5.5 In a survey of 102 resorts, it was found that 30 had a spa. 59 had a fitness center. 43 had a children's club. 13 had a spa and a fitness center. 10 had a spa and children's club. 22 had a fitness center and children's club. 7 had all three features. Complete parts a) through e). a) How many of the resorts surveyed had only a spa? 14 (Type a whole number.) b) How many of the resorts surveyed had exactly one of these features? 63 (Type a whole number.) c) How many of the resorts surveyed had at least one of these features? (Type a whole number.)Homework: Sec 2.5 Homework Score: 0.67 of 1 pt 2 of 7 (7 complete) 2.5.3 The Greens are moving. Their real estate agent located 75 houses listed for sale in their price range. Of those houses listed for sale, 47 had a finished basement. 53 had a three-car garage. 34 had a finished basement and a three-car garage. Complete parts a) through c). a) How many had a finished basement but not a three-car garage? 13 (Type a whole number.) b) How many had a three-car garage but not a finished basement? 19 (Type a whole number.) c) How many had either a finished basement or a three-car garage? (Type a whole number.)Homework: Sec 2.3 Homework Score: 0 of 1 pt 30 of 30 (14 complete) 2.3.VAQ1 Watch the video and then answer the question given below. Click here to watch the video. Given U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}, A= {2, 4, 6, 8, 10, 12, 14, 16, 18), and B = (1, 2, 3, 4. 5, 6, 7, 8, 9). find AnB. AnB = {} (Use a comma to separate answers as needed.)Homework: Sec 2.5 Homework Score: 0.67 of 1 pt 1 of 7 (7 complete) 2.5.1 A coffee shop collected the following information regarding purchases from 100 of its customers. 61 purchased coffee. 39 purchased donuts. 18 purchased coffee and donuts. Complete parts a) through c). a) Of those surveyed, how many purchased only coffee? 43 (Type a whole number.) b) Of those surveyed, how many purchased only donuts? 21 (Type a whole number.) c) Of those surveyed, how many did not purchase either of these items? (Type a whole number.)Homework: Sec 2.5 Homework Save Score: 0.2 of 1 pt 4 of 7 (7 complete) HW Score: 59.05%, 4.13 of 7 p 2.5.6 Question Help Thirty-three cities were researched to determine whether they had a professional sports team, a symphony, or a children's museum. Of these cities, 16 had a professional sports team, 20 had a symphony, 18 had a children's museum, 12 had a professional sports team and a symphony, 9 had a professional sports team and a children's museum, 12 had a symphony and a children's museum, and 7 had all three activities. Complete parts a) through e) below. a) How many of the cities surveyed had only a professional sports team? 2 (Simplify your answer.) b) How many of the cities surveyed had a professional sports team and a symphony, but not a children's museum? (Simplify your answer.)Homework: Sec 2.4 Homework Score: 0.75 of 1 pt 17 of 18 (17 complete) 2.4.69 Let U={1,2,4,5,6,8,11,13} A= {4,6,8,11} B ={1,4,8} Apply DeMorgan's Law 1 to show that (AnB), =A'UB'. To show that (AnB)' = A'UB', first find AnB. AnB = (4.8} (Type a whole number. Use a comma to separate answers as needed.) Next, find A' and B'. A' = {1,2,5,13} B' = { 2,5,6,11,13} (Type whole numbers. Use a comma to separate answers as needed.) Therefore, (AnB)' = A'UB' since the roster form of both sets is {} (Type a whole number. Use a comma to separate answers as needed.)Homework: Sec 3.2 Homework Save Score: 0.33 of 1 pt 13 of 14 (14 complete) HW Score: 91.67%, 12.83 of 14 pts 3.2.52 Question Help Use the graph, showing the results of a survey of the hours of sleep a group of Americans gets each night, to determine the truth value of each Hours of Sleep simple statement in the following compound statement. Then determine the truth value of the compound statement. 4 or fewer hours, 49% 5 hours, 9% It is true that 4% of Americans get 5 hours of sleep each night and 30% get 7 hours of sleep each night. 6 hours, 25% 7 hours, 30% 8 hours or more, 32% Is the statement "4% of Americans get 5 hours of sleep each night" true or false? False O True Is the statement "30% get 7 hours of sleep each night" true or false? O True O FalseHomework: Sec 2.4 Homework Score: 0 of 1 pt 14 of 18 (17 complete) 2.4.59 Use Venn diagrams to determine whether the following statements are equal for all sets A, B, and C. III (CnB)' U (An B) IV VI An (B n C) VII C VIII Are the statements equal for all sets A, B, and C? O No O YesHomework: Sec 10.3 Homework Score: 0.29 of 1 pt 10 of 10 (10 complete) 10.3.ICV1 Watch the video and then complete parts (a) through (d) below. Click here to watch the video. Annette Michaelson will need $14,000 in 7 years to help pay for her education. Determine the lump sum, deposited today at 4.5% compounded monthly, will produce the necessary amount. UD. A=P(1+ 1) (c) Substitute the appropriate values. Select the correct choice below and fill in the answer boxes to complete your choice. A P = O A. 1 O B. I = Prt = ( D ( D( D O C. A=P(1 + rt) = (1 + ( D( D) A OD. P= 1 + It- 1+ ( D( DHomework: Sec 2.5 Homework Save Score: 0.2 of 1 pt 6 of 7 (7 complete) HW Score: 59.05%, 4.13 of 7 pts 2.5.10 Question Help In a survey of college students, each of the following was found. Of these students, 360 owned a tablet, 294 owned a laptop, 285 owned a gaming system, 195 owned a tablet and a laptop, 200 owned a tablet and a gaming system, 139 owned a laptop and a gaming system, 68 owned a tablet, a laptop, and a gaming system, and 24 owned none of these devices. Complete parts a) through e) below. a) How many college students were surveyed? 497 (Simplify your answer.) b) Of the college students surveyed, how many owned a tablet and a gaming system, but not a laptop? (Simplify your answer.)