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1) In a ballroom dance competition, each couple is identified by a number worn on the leader's back. At a recent competition, forty couples competed. Their numbers are listed below: 107 109 116 120 121 126 130 134 143 151 158 163 169 174 180 182 186 188 191 197 200 203 208 | 211 215 220 228 231 234| 241 | 246 253 256 262| 268 271 279 285 250 274 Dances at the competition are organized into heats, with each heat consisting of a particular group of dancers doing a particular dance. A portion of the Heat Schedule is given below, with the couples listed for twelve heats of Waltz, Foxtrot, and Quickstep: Heat 46 Waltz Heat 47 Foxtrot Heat 48 Quickstep 107 Heat 49 Waltz Heat 50 Heat 51 Foxtrot Quickstep 120 107 107 126 121 121 120 121 134 126 126 134 163 188 151 158 163 182 134 143 174 174 220 186 180 228 174 197 151 191 215 241 203 203 158 182 253 211 220 231 262 256 231 211 250 262 274 241 231 246 262 262 262 268 274 279 268 253 279 Heat 57 Heat 52 Waltz Heat 53 Foxtrot Heat 54 Heat 55 Waltz Heat 56 Quickstep Foxtrot Quickstep 109 109 109 109 109 109 143 180 188 126 134 120 191 121 116 116 134 163 126 180 174 186 158 211 191 180 220 200 200 228 200 215 231 211 211 231 231 231 253 241 231 215 250 250 253 250 228 274 256 262 268 256 231 279 262 274 285 262 246 285

1) In a ballroom dance competition, each couple is identified by a number worn on the leader's back. At a recent competition, forty couples competed. Their numbers are listed below: 107 109 116 120 121 126 130 134 143 151 158 163 169 174 180 182 186 188 191 197 200 203 208 | 211 215 220 228 231 234| 241 | 246 253 256 262| 268 271 279 285 250 274 Dances at the competition are organized into heats, with each heat consisting of a particular group of dancers doing a particular dance. A portion of the Heat Schedule is given below, with the couples listed for twelve heats of Waltz, Foxtrot, and Quickstep: Heat 46 Waltz Heat 47 Foxtrot Heat 48 Quickstep 107 Heat 49 Waltz Heat 50 Heat 51 Foxtrot Quickstep 120 107 107 126 121 121 120 121 134 126 126 134 163 188 151 158 163 182 134 143 174 174 220 186 180 228 174 197 151 191 215 241 203 203 158 182 253 211 220 231 262 256 231 211 250 262 274 241 231 246 262 262 262 268 274 279 268 253 279 Heat 57 Heat 52 Waltz Heat 53 Foxtrot Heat 54 Heat 55 Waltz Heat 56 Quickstep Foxtrot Quickstep 109 109 109 109 109 109 143 180 188 126 134 120 191 121 116 116 134 163 126 180 174 186 158 211 191 180 220 200 200 228 200 215 231 211 211 231 231 231 253 241 231 215 250 250 253 250 228 274 256 262 268 256 231 279 262 274 285 262 246 285

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.1: Sets And Geometry
Problem 19E: What relationship subset, intersect, disjoint, or equivalent can be used to characterize the two...
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c) How many leaders competed in all three dances?


d) How many leaders competed in Foxtrot, but not Waltz?


e) How many leaders didn't compete in Quickstep or did compete in Quickstep and Waltz?


f) How many leaders competed in Waltz, Foxtrot, or Quickstep?


g) How many leaders competed in Waltz and Quickstep or competed in Foxtrot and Quickstep, but did not compete in all three?


h) How many leaders did not compete in Waltz?


i) How many leaders didn't compete in any of the three dances?


j) How many leaders competed in exactly one of the three dances?

 

b) Now, complete the simplified survey Venn diagram below, indicating only the cardinality of each region: Waltz Foxtrot II. III. V. IV. VI. VII. VIII. Quickstep Using the Venn diagram with cardinality, answer the following questions: Notice we are asking for how many leaders danced a particular dance, not their leader number, or even how many times one leader danced a particular dance. c) How many leaders competed in all three dances? d) How many leaders competed in Foxtrot, but not Waltz? 10:13 PM O Type here to search 99+ 2/19/2021 25
Transcribed Image Text:b) Now, complete the simplified survey Venn diagram below, indicating only the cardinality of each region: Waltz Foxtrot II. III. V. IV. VI. VII. VIII. Quickstep Using the Venn diagram with cardinality, answer the following questions: Notice we are asking for how many leaders danced a particular dance, not their leader number, or even how many times one leader danced a particular dance. c) How many leaders competed in all three dances? d) How many leaders competed in Foxtrot, but not Waltz? 10:13 PM O Type here to search 99+ 2/19/2021 25
1) In a ballroom dance competition, each couple is identified by a number worn on the leader's back. At a recent competition, forty couples competed. Their numbers are listed below: 174 256 107 109 116 120 121 126 130 134 143 151 158 163 169 180 182 186 188 191 197 200 203 208 211 215 220 228 231 234 241 246 250 253 262 268 271 274 279 285 Dances at the competition are organized into heats, with each heat consisting of a particular group of dancers doing a particular dance. A portion of the Heat Schedule is given below, with the couples listed for twelve heats of Waltz, Foxtrot, and Quickstep: Heat 46 Heat 47 Heat 48 Heat 49 Heat 50 Heat 51 Waltz Foxtrot Quickstep Waltz Foxtrot Quickstep 107 107 107 126 121 120 121 120 121 134 126 126 134 163 188 151 163 134 174 174 220 158 182 143 186 180 228 174 197 151 191 215 241 203 203 158 211 220 256 231 211 182 250 231 262 241 231 253 262 262 274 262 246 262 268 274 279 268 253 279 Heat 54 Heat 55 Waltz Heat 52 Heat 53 Heat 56 Heat 57 Waltz Foxtrot Quickstep Foxtrot Quickstep 109 109 109 109 109 109 121 116 143 126 116 120 134 163 180 134 126 191 180 174 188 186 158 211 191 180 220 200 200 228 200 215 231 211 211 231 231 231 241 231 215 250 250 253 253 250 228 274 256 262 268 256 231 279 262 274 285 262 246 285 a) Using the information from the Heat Schedule provided, complete the following Venn diagram by listing the competitors' numbers as elements within the appropriate regions based on which dances the competitor L...L.. 6:38 PM O Type here to search 日 99+ 2/19/2021 125 2:
Transcribed Image Text:1) In a ballroom dance competition, each couple is identified by a number worn on the leader's back. At a recent competition, forty couples competed. Their numbers are listed below: 174 256 107 109 116 120 121 126 130 134 143 151 158 163 169 180 182 186 188 191 197 200 203 208 211 215 220 228 231 234 241 246 250 253 262 268 271 274 279 285 Dances at the competition are organized into heats, with each heat consisting of a particular group of dancers doing a particular dance. A portion of the Heat Schedule is given below, with the couples listed for twelve heats of Waltz, Foxtrot, and Quickstep: Heat 46 Heat 47 Heat 48 Heat 49 Heat 50 Heat 51 Waltz Foxtrot Quickstep Waltz Foxtrot Quickstep 107 107 107 126 121 120 121 120 121 134 126 126 134 163 188 151 163 134 174 174 220 158 182 143 186 180 228 174 197 151 191 215 241 203 203 158 211 220 256 231 211 182 250 231 262 241 231 253 262 262 274 262 246 262 268 274 279 268 253 279 Heat 54 Heat 55 Waltz Heat 52 Heat 53 Heat 56 Heat 57 Waltz Foxtrot Quickstep Foxtrot Quickstep 109 109 109 109 109 109 121 116 143 126 116 120 134 163 180 134 126 191 180 174 188 186 158 211 191 180 220 200 200 228 200 215 231 211 211 231 231 231 241 231 215 250 250 253 253 250 228 274 256 262 268 256 231 279 262 274 285 262 246 285 a) Using the information from the Heat Schedule provided, complete the following Venn diagram by listing the competitors' numbers as elements within the appropriate regions based on which dances the competitor L...L.. 6:38 PM O Type here to search 日 99+ 2/19/2021 125 2:
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