What is the identity of cos 2 θ
1 answer:
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The decimal representation of any number is a linear combination of powers of 10. In other words, given a number like 123.456, we can expand it as
for any
, so the above is the same as
Similarly, we can write
Now it's a question of reducing the fraction as much as possible. We have so
The value of the P(A∩B) is equal to 0.04.
We have given that,
P(A)= 0.4 and P(B) = 0.85.
We have to determine the P(A and B)
<h3>What is the formula for Independent Events?</h3>For Independent Events,
P(A) × P(B) = P(A∩B)
so we have, P(A∩B) = 0.4×0.1
P(A∩B) = 0.04
P(A') = 1 - 0.4 = 0.6
This information can be represented on a Venn diagram as shown below
P(A'∪B) means the union of everything that is not A with everything that is B
P(A'∪B) = 0.06 + 0.54 + 0.04
P(A'∪B) = 0.64
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