Question

Complete the Venn Diagram to answer the following: A survey asked 816 college freshmen whether they had been to a movie or eaten in a restaurant during the past week. The following information was obtained: 389 freshmen had been to neither a movie nor a restaurant, and 267 had been to a movie. If 94 of those who had been to a movie had not been to a restaurant, how many of the surveyed freshmen had been to the following? 9. a. Both a movie and a restaurant b. A movie or a restaurant c. A restaurant d. A restaurant but not a movie

PLEASE SHOW WORK

Answer 1

We have

n(U) = 816

n(UUR) 389

n(M) = 267

n(M- R) = 94

So,

Using Venn diagram,

n(Al R) n(AZ) _ n(Al-R) 267-94-173

n(R- M) = n(U)- $n(\overline{U \cup R})- n(M)$

= 816- 389- 267

= 160

Complete the Venn Diagram to answer the following: A survey asked 816 college freshmen whether they had been to a movie or eaten in a restaurant during the past week. The following information was obtained: 389 freshmen had been to neither a movie nor a restaurant, and 267 had been to a movie. If 94 of those who had been to a movie had not been to a restaurant, how many of the surveyed freshmen had been to the following? 9. 94 173 160 389 Both a movie and a restaurant A movie or a restaurant A restaurant A restaurant but not a movie 173 816-389-427 173+160 333 160 a. b. c. d.