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Use the Venn diagram and the given conditions to determine the number of elements in region
VIII. n(U) = 44 n(A) = 22 n(B) = 27 n(C) = 22 n(A B) = 15 n(A C) = 11 n(B C) = 10 A
poll asked respondents if they agreed with the statement that colleges should reserve a certain
number of scholarships exclusively for minorities and women. Hypothetical results of the poll
are tabulated in the Venn diagram. How many women agreed with the statement? A poll asked
respondents if they agreed with the statement that colleges should reserve a certain number of
scholarships exclusively for minorities and women. Hypothetical results of the poll are tabulated
in the Venn diagram. How many respondents disagreed with the statement?
Solution
44=22+27+22-15-11-10+6+n(VIII)
n(VIII)=3
number of african american women agreed=A intersection B intersection c'=1
number of american women agreed=1
total number of women agreed=2
number of men disagreeing=4+8
number of african american disagreeing=8+5
number of respondents disagreeing the statement=4+8+8+5-8=17

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Use the Venn diagram and the given conditions to determine the number.pdf

  • 1. Use the Venn diagram and the given conditions to determine the number of elements in region VIII. n(U) = 44 n(A) = 22 n(B) = 27 n(C) = 22 n(A B) = 15 n(A C) = 11 n(B C) = 10 A poll asked respondents if they agreed with the statement that colleges should reserve a certain number of scholarships exclusively for minorities and women. Hypothetical results of the poll are tabulated in the Venn diagram. How many women agreed with the statement? A poll asked respondents if they agreed with the statement that colleges should reserve a certain number of scholarships exclusively for minorities and women. Hypothetical results of the poll are tabulated in the Venn diagram. How many respondents disagreed with the statement? Solution 44=22+27+22-15-11-10+6+n(VIII) n(VIII)=3 number of african american women agreed=A intersection B intersection c'=1 number of american women agreed=1 total number of women agreed=2 number of men disagreeing=4+8 number of african american disagreeing=8+5 number of respondents disagreeing the statement=4+8+8+5-8=17