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3 years ago

Can someone help please

Mathematics

1 answer:

Elena L [17]3 years ago

4 0

9514 1404 393

Answer:

4. n = 4

5. P(A|B) = 0.75

Step-by-step explanation:

4. The coefficient of x will depend on n. The expansion is ...

(5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)

So, the x-term of the expansion is ...

25(3/5nx) +(10nx)(1) = 25nx

The problem statement tells us that is 100x, so we have ...

25nx = 100x

n = 100x/(25x) = 4 . . . . . divide by the coefficient of n

The value of n is 4.

5. For the conditional probability formula, we need to know P(A∩B).

P(A∩B) = P(A) +P(B) -P(A∪B)

P(A∩B) = 0.5 +0.4 -0.6 = 0.3

Then the conditional probability is ...

P(A|B) = P(A∩B)/P(B) = 0.3/0.4

P(A|B) = 0.75

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Required

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