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Leviafan [203]
3 years ago
15

Simplify the expression. Write your answer as a complex number. Pls help!

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

\bf 8\sqrt{49}-\sqrt{-36}\implies 8\sqrt{7^2}-\sqrt{-1\cdot 6^2}\implies 56-\sqrt{-1}\cdot \sqrt{6^2}\implies 56-6i

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If A and B are independent events with P(A) = .5 and P(B) = .2, find the following:a) P(A U B)b) P(A^c ? B^c)c) P(A^c U B^c)**No
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If A and B are independent, then P(A\cap B)=P(A)P(B).

a.

P(A\cup B)=P(A)+P(B)-P(A\cap B)=P(A)+P(B)-P(A)P(B)

P(A\cup B)=0.5+0.2-0.5\cdot0.2

\boxed{P(A\cup B)=0.6}

b. I'm guessing the ? is supposed to stand for intersection. We can use DeMorgan's law for complements here:

P(A^c\cap B^c)=P(A\cup B)^c=1-P(A\cup B)

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c. DeMorgan's law can be used here too:

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Answer: y = 0.5, x = 50

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