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Venn Diagram From a Table

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The Wilcox fam is considering buying a dog. They have established several criteria for the family dog; It must be one of the breeds listed in the table, must not shed, must be less than 16 in tall, and must be good with children.

a.) Using the information in the table, construct a Venn diagram in which the universal set is the dogs listed. Indicate the set of dogs listed. Indicate the set of dogs to be placed in each region of the Venn diagram.

b.) From the Venn diagram constructed in part (a), determine which dogs will meet the criteria set by the Wilcox family. explain.

Breed sheds les than 16 in good w/ kids
_____________________________________________________________

Auredale no no no
Basset hound yes yes yes
Beagle yes yes yes
Border terrier no yes yes
Cairn terrier no yes no
Cocker spaniel yes yes yes
Collie yes no yes
Dachshund yes yes no
Poodle, miniature no yes no
Schnauzer, mini no yes no
Scottish terrier no yes no
Wirehaired fox terrier no yes no

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Solution Summary

A Venn diagram is drawn from a table. Questions are answered as to what will satisfy given criteria. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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Algebraic Sets 2.
Write a memo to your boss that displays the data graphically in a Venn diagram.

2 page memo with Diagram and Table

After running various advertisements, you have received the statistics from each advertising outlet. A total of 800 ads were run. The following lists the breakdown of each:
? 380 ads were run over the radio.
? 240 adds were run in the newspaper.
? 300 adds appeared on the Internet.
? 185 ran both on radio and on the Internet.
? 145 ran on the radio and newspaper.
? 225 ran in the newspaper and on the Internet.
? 145 ran on all 3 media outlets.
Write a memo to your boss that displays the data graphically in a Venn diagram. Also, describe example scenarios listed below by first constructing them in set notation (use the addition principle to show the union values) and then give the actual values. Then, construct a table to summarize the following data:
? Ads that were run either on the radio or in the newspaper
? Ads that were not run on the radio
? Ads that were run on the radio and the Internet but not in the newspaper
? Ads that were not run on any of the three media outlets
? Ads that were not run on the radio but were run in the newspaper

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