Use the Venn diagram to calculate probabilities. Circles A, B, and C overlap. Circle A contains 12, circle B contains 11, and circle C contains 4. The overlap of A and B contains 5, the overlap of B and C contains 3, and the overlap of C and A contains 6. The overlap of the 3 circles contains 8.

Which probabilities are correct? Select two options.

P(A|C) = Two-thirds
P(C|B) = StartFraction 8 Over 27 EndFraction
P(A) = StartFraction 31 Over 59 EndFraction
P(C) = Three-sevenths
P(B|A) = StartFraction 13 Over 27 EndFraction

step-by-step explanation:

what are the statements? and what do you mean by "216 2 1 6"?

answer: 80,000

step-by-step explanation:

the population doubles every day.

10,000*2=20,000 day 4

20,000*2=40,000 day 5

40,000*2=80,000 day 6

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.