Question

Asnwer this picture please
please please please please please.

Answer 1

so, hmmm according to the Venn diagram, there are 10 paintings that are neither T or B, so how many are British and from the 20th century? well, that'd be the intersecting "x", so let's get that

`\stackrel{ T }{x(x-2)}~~ + ~~\stackrel{ T\&B }{(x)}~~ + ~~\stackrel{ B }{(2x+8)}~~ + ~~\stackrel{ outside }{(10)}~~ = ~~60 \\\\\\ x^2-2x+x+2x+8+10=60\implies x^2+x+18=60\implies x^2+x-42=0 \\\\\\ (x-6)(x+7)=0\implies x= \begin{cases} 6 ~~~~~ \checkmark\\ -7 ~~ \bigotimes \end{cases} \\\\[-0.35em] ~\dotfill\\\\ P(B|T)=\cfrac{6}{60}\implies P(B|T)=\cfrac{1}{10}\implies P(B|T)=0.10\implies P(B|T)=10\%`