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AlexFokin [52]
3 years ago
6

P(A)=7/20,P(B)=3/5,P(A∩B)=21/100 ,P(A∪B)=?

Mathematics
1 answer:
icang [17]3 years ago
6 0
P(A U B) = P(A) +P(B) - P(AB) \\  \\ = \frac{7}{20} +\frac{3}{5} - \frac{21}{100} \\  \\ = \frac{35}{100} +\frac{60}{100} - \frac{21}{100}  \\  \\ =\frac{74}{100}  \\  \\ =\frac{37}{50}
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Add 3/4 to both sides:

Answer:  x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4

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