Question 469371: I could really use some help on this problem please!!!! Thank you in advance..
An electronics store surveyed every 7th customer who came into the store for a week.
Of the 350 people who responded,
144 people watched movies on VHS tapes.
239 people watched movies on DVDs.
54 people watched movies both on VHS tapes and DVDs.
Create a Venn diagram to reflect the above data, label your diagram clearly. Use your diagram to answer the following questions here.
i. Of those surveyed, how many watched only VHS tapes?
ii. Of those surveyed, how many watched only DVDs?
iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?
iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?
Found 2 solutions by jorel1380, stanbon: Answer by jorel1380(3719) (Show Source):
You can put this solution on YOUR website! i. Only VHS tapes:144-54=90
ii. Only DVDs:239-54=185
iii. VHS or DVDs, but not both:90+185=275
iv. VHs or DVD, or both: 144+239-54=329
Bonus v. Those who viewed neither:350-329=21..
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! 144 people watched movies on VHS tapes.
239 people watched movies on DVDs.
54 people watched movies both on VHS tapes and DVDs.
Create a Venn diagram to reflect the above data, label your diagram clearly. Use your diagram to answer the following questions here.
i. Of those surveyed, how many watched only VHS tapes? 144-54 = 90
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ii. Of those surveyed, how many watched only DVDs? 239-54 = 185
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iii. Of those surveyed, how many watched VHS tapes or DVDs, but not both?
#(V or D) = #(V)+#(D)-#(V and D)
#(V or D) = 90 + 185 = 275
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iv. Of those surveyed, how many watched VHS tapes or DVDs, or both?
#(V or D) = 90 + 185 + 54 = 329
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Cheers,
Stan H.
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