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ziro4ka [17]
3 years ago
5

Suppose that e and f are two events and that upper p left parenthesis upper e right parenthesis p(e) equals = 0.5 0.5 and upper

p left parenthesis f|e right parenthesis p(f|e) equals = 0.1 0.1. what is upper p left parenthesis upper e and upper f right parenthesis p(e and f)​?
Mathematics
1 answer:
Fofino [41]3 years ago
5 0
I believe it is 0.10?
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Answer:

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Step-by-step explanation:

DeMoivre's theorem:

If the complex number z=r(\cos \alpha+i\sin\alpha), then for natural number n

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In your case,

z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)

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By DeMoivre's theorem,

z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.

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2 years ago
HELP ASAP BEING TIMED! If Triangle J K L is congruent to Triangle B C A, which statement must be true?
Vlada [557]

Answer:

Choice C

Step-by-step explanation:

This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.

So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.

So first side:

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So second side:

CA is congruent  to KL

So third side:

JL is congruent  to BA

The third side is one of our answer choices.

That answer choice is C.

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Step-by-step explanation:

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