Can someone help please

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  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.

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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

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

50- 250 is correct i did that one too

step-by-step explanation: