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[SOLVED] Venn diagram shows the universal set U and the sets A and B.

karush

Well-known member
Jan 31, 2012
2,714
View attachment 1175

(b) $A'=100-30=70$ and since $n(A\cup B) = 65$ and $A+B=80$
then $n(A\cap B)= 15$ so $n(B\cap A')=70+15=85$

(c) $\displaystyle\frac{n(B\cap A')}{n(U)}=\frac{85}{100}=\frac{17}{20}$

or ????
 

Plato

Well-known member
MHB Math Helper
Jan 27, 2012
196
This is \(\displaystyle B\cap A'\)Untitled.gif
 

karush

Well-known member
Jan 31, 2012
2,714
so I have $B\cup A'$

(c)
$\displaystyle\frac{n(B\cup A')}{n(U)}=\frac{35}{100}=\frac{7}{20}$
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775