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{"id":228214,"date":"2022-05-30T01:27:09","date_gmt":"2022-05-30T01:27:09","guid":{"rendered":"https:\/\/qualityassignments.net\/?p=228214"},"modified":"2022-05-30T01:27:09","modified_gmt":"2022-05-30T01:27:09","slug":"question-5-let-u-represent-the-set-of-people-in-a-certain-community-who-were-asked-if-they-subscribe-to-an-information-source","status":"publish","type":"post","link":"https:\/\/qualityassignments.net\/2022\/05\/30\/question-5-let-u-represent-the-set-of-people-in-a-certain-community-who-were-asked-if-they-subscribe-to-an-information-source\/","title":{"rendered":"Question 5 Let U represent the set of people in a certain community who were asked if they subscribe to an information source."},"content":{"rendered":"
\n

\n
\n Question 5
\n <\/b>\n<\/p>\n

\n Let\u00a0\u00a0U\u00a0\u00a0represent the set of people in a certain community who were asked if they subscribe to an information source.\n <\/p>\n

\n Let\u00a0D\u00a0={\u00a0x\u00a0\u2208\u00a0U\u00a0\u00a0|\u00a0x\u00a0subscribes to
\n
\n The Daily Informer
\n <\/b>
\n }\n <\/p>\n

\n and\n <\/p>\n

\n N\u00a0={\u00a0x\u00a0\u2208\u00a0U\u00a0\u00a0|\u00a0x\u00a0subscribes to
\n
\n News Magazine
\n <\/b>
\n }\n <\/p>\n

\n
\n (Assume these sets are not disjoint.)
\n <\/b>
\n Write the set that represents the set of people surveyed who subscribe to The Daily Informer but not News Magazine.\n <\/p>\n

\n
\n a)
\n <\/b>
\n D\n <\/p>\n

\n
\n b)
\n <\/b>
\n (\u00a0N\u00a0\u222a\u00a0D\u00a0)c\n <\/p>\n

\n
\n c)
\n <\/b>
\n N\u00a0c\u00a0\u222a\u00a0D\n <\/p>\n

\n
\n d)
\n <\/b>
\n N\u00a0c\u00a0\u222a D\u00a0c\n <\/p>\n

\n
\n e)
\n <\/b>
\n N\u00a0c\u00a0\u2229\u00a0D\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 6
\n <\/b>\n<\/p>\n

\n Let\u00a0\u00a0U\u00a0\u00a0represent the set of all people that frequently visit a certain restaurant, surveyed about which food they like best. Let\n <\/p>\n

\n B\u00a0= {\u00a0x\u00a0\u2208\u00a0U\u00a0\u00a0|\u00a0\u00a0x\u00a0\u00a0likes Hamburgers }\n <\/p>\n

\n C\u00a0= {\u00a0x\u00a0\u2208\u00a0U\u00a0\u00a0|\u00a0\u00a0x\u00a0\u00a0likes Corn Dogs }\n <\/p>\n

\n P\u00a0= {\u00a0x\u00a0\u2208\u00a0U\u00a0\u00a0|\u00a0\u00a0x\u00a0\u00a0likes Pizza }\n <\/p>\n

\n
\n (Assume these sets are not disjoint.)
\n <\/b>
\n Write the statement that refers to:\u00a0P\u00a0\u2229 (\u00a0C\u00a0\u222a\u00a0B\u00a0)\u00a0c\u00a0.\n <\/p>\n

\n
\n a)
\n <\/b>
\n The set of customers who like Pizza or Corn Dogs or Burgers.\n <\/p>\n

\n
\n b)
\n <\/b>
\n The set of customers who like all three foods given.\n <\/p>\n

\n
\n c)
\n <\/b>
\n The set of customers who like Pizza but not Corn Dogs or Burgers.\n <\/p>\n

\n
\n d)
\n <\/b>
\n The set of customers who like Pizza and Corn Dogs but not Burgers.\n <\/p>\n

\n
\n e)
\n <\/b>
\n The set of customers who do not like any of these foods given.\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 7
\n <\/b>\n<\/p>\n

\n Suppose that\u00a0\u00a0S\u00a0\u00a0is the set of successful students in a classroom, and that\u00a0\u00a0F\u00a0\u00a0stands for the set of freshmen students in that classroom.\u00a0Find\u00a0n(S\u2229\u00a0F)\u00a0given that\n <\/p>\n

\n n(S) = 60,\u00a0n(F) = 22\u00a0and\u00a0n(S\u00a0\u222a\u00a0F) = 63\n <\/p>\n

\n
\n a)
\n <\/b>
\n 0\n <\/p>\n

\n
\n b)
\n <\/b>
\n 145\n <\/p>\n

\n
\n c)
\n <\/b>
\n 82\n <\/p>\n

\n
\n d)
\n <\/b>
\n 19\n <\/p>\n

\n
\n e)
\n <\/b>
\n 123\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 8
\n <\/b>\n<\/p>\n

\n Suppose that\u00a0n(U) = 200,\u00a0n(A) = 135,\u00a0n(B) = 105,\u00a0and\u00a0n(\u00a0A\u00a0\u2229\u00a0B\u00a0) = 50.\u00a0Find\u00a0n(\u00a0A\u00a0c\u00a0\u222a\u00a0B\u00a0).\n <\/p>\n

\n
\n a)
\n <\/b>
\n 85\n <\/p>\n

\n
\n b)
\n <\/b>
\n 65\n <\/p>\n

\n
\n c)
\n <\/b>
\n 105\n <\/p>\n

\n
\n d)
\n <\/b>
\n 115\n <\/p>\n

\n
\n e)
\n <\/b>
\n 55\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 9
\n <\/b>\n<\/p>\n

\n A survey of 398 children given at a local elementary school showed that 175 like chocolate ice cream, 150 like pistachio ice cream, and 123 do not like chocolate or pistachio ice cream.\u00a0How many children like both chocolate ice cream and pistachio ice cream?\n <\/p>\n

\n
\n a)
\n <\/b>
\n 50\n <\/p>\n

\n
\n b)
\n <\/b>
\n 275\n <\/p>\n

\n
\n c)
\n <\/b>
\n 225\n <\/p>\n

\n
\n d)
\n <\/b>
\n 125\n <\/p>\n

\n
\n e)
\n <\/b>
\n 325\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 10
\n <\/b>\n<\/p>\n

\n 412 students were surveyed about their preferences of sports.\u00a0145 students like football, 138 students like baseball, and 46 students like both sports.\u00a0How many students do not like football or baseball?\n <\/p>\n

\n
\n a)
\n <\/b>
\n 329\n <\/p>\n

\n
\n b)
\n <\/b>
\n 138\n <\/p>\n

\n
\n c)
\n <\/b>
\n 83\n <\/p>\n

\n
\n d)
\n <\/b>
\n 175\n <\/p>\n

\n
\n e)
\n <\/b>
\n 92\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 11
\n <\/b>\n<\/p>\n

\n 428 students were surveyed about their preferences of sports.\u00a0146 students like football, 144 students like baseball, and 45 students like both sports.\u00a0How many students like exactly one of the two sports?\n <\/p>\n

\n
\n a)
\n <\/b>
\n 146\n <\/p>\n

\n
\n b)
\n <\/b>
\n 290\n <\/p>\n

\n
\n c)
\n <\/b>
\n 200\n <\/p>\n

\n
\n d)
\n <\/b>
\n 99\n <\/p>\n

\n
\n e)
\n <\/b>
\n 101\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 12
\n <\/b>\n<\/p>\n

\n A campus radio station surveyed 500 students to determine the types of music they like.\u00a0The survey revealed that 198 like rock,163 like country, and 120 like jazz.\u00a0Moreover, 23 like rock and country, 20 like rock and jazz, 25 like country and jazz, and 5 like all three types of music.\u00a0How many students surveyed liked rock only?\u00a0(Note:\u00a0A Venn diagram may be useful here.)\n <\/p>\n

\n
\n a)
\n <\/b>
\n 155\n <\/p>\n

\n
\n b)
\n <\/b>
\n 140\n <\/p>\n

\n
\n c)
\n <\/b>
\n 198\n <\/p>\n

\n
\n d)
\n <\/b>
\n 160\n <\/p>\n

\n
\n e)
\n <\/b>
\n 142\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 13
\n <\/b>\n<\/p>\n

\n A survey of 500 high school students was taken to determine their favorite chocolate candy.\u00a0Of the 500 students surveyed, 129 like Snickers, 118 like Twix, 145 like Reese’s Peanut Butter Cups, 22 like Snickers and Twix, 54 like Twix and Reese’s Peanut Butter Cups, 55 like Snickers and Reese’s Peanut Butter Cups, and 8 like all three kinds of chocolate candy.\u00a0How many students like at most 2 kinds of these chocolate candies?\n <\/p>\n

\n
\n a)
\n <\/b>
\n 107\n <\/p>\n

\n
\n b)
\n <\/b>
\n 60\n <\/p>\n

\n
\n c)
\n <\/b>
\n 261\n <\/p>\n

\n
\n d)
\n <\/b>
\n 492\n <\/p>\n

\n
\n e)
\n <\/b>
\n 115\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 14
\n <\/b>\n<\/p>\n

\n A survey of 500 high school students was taken to determine their favorite chocolate candy.\u00a0Of the 500 students surveyed, 143 like Snickers, 130 like Twix, 163 like Reese’s Peanut Butter Cups, 51 like Snickers and Twix, 43 like Twix and Reese’s Peanut Butter Cups, 86 like Snickers and Reese’s Peanut Butter Cups, and 34 like all three kinds of chocolate candy.\u00a0How many students like Reese’s Peanut Butter Cups or Snickers, but not Twix?\n <\/p>\n

\n
\n a)
\n <\/b>
\n 186\n <\/p>\n

\n
\n b)
\n <\/b>
\n 92\n <\/p>\n

\n
\n c)
\n <\/b>
\n 160\n <\/p>\n

\n
\n d)
\n <\/b>
\n 108\n <\/p>\n

\n
\n e)
\n <\/b>
\n 194\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n

\n Review Later\n <\/p>\n

\n
\n Question 15
\n <\/b>\n<\/p>\n

\n
\n (Car Sales)
\n <\/b>
\n Of the cars sold during the month of July, 87 had air conditioning, 99 had automatic transmission, and 73 had power steering.\u00a08 cars had all three of these extras.\u00a024 cars had none of these extras. 24 cars had only air conditioning, 64 cars had only automatic transmissions, and 35 cars had only power steering.\u00a09 cars had both automatic transmission and power steering.\u00a0How many cars had exactly two of the given options?\n <\/p>\n

\n
\n a)
\n <\/b>
\n 64\n <\/p>\n

\n
\n b)
\n <\/b>
\n 56\n <\/p>\n

\n
\n c)
\n <\/b>
\n 96\n <\/p>\n

\n
\n d)
\n <\/b>
\n 1\n <\/p>\n

\n
\n e)
\n <\/b>
\n 82\n <\/p>\n

\n
\n f)
\n <\/b>
\n None of the above.\n <\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Question 5 Let\u00a0\u00a0U\u00a0\u00a0represent the set of people in a certain community who were asked if they subscribe to an information source. Let\u00a0D\u00a0={\u00a0x\u00a0\u2208\u00a0U\u00a0\u00a0|\u00a0x\u00a0subscribes to The Daily Informer } and N\u00a0={\u00a0x\u00a0\u2208\u00a0U\u00a0\u00a0|\u00a0x\u00a0subscribes to News Magazine } (Assume these sets are not disjoint.) Write the set that represents the set of people surveyed who subscribe to The Daily Informer […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228214"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=228214"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/228214\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=228214"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=228214"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=228214"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}