Recall that for a random variable

following a Bernoulli distribution

, we have the moment-generating function (MGF)

and also recall that the MGF of a sum of i.i.d. random variables is the product of the MGFs of each distribution:

So for a sum of Bernoulli-distributed i.i.d. random variables

, we have

which is the MGF of the binomial distribution

. (Indeed, the Bernoulli distribution is identical to the binomial distribution when

.)
Your answer to the question would be g(x)=4x-3
Answer:
I think it's all of them :)
Perimeter of rectangle=66
length of rectangle=L
width of rectangle=w
P of a rect.= 2(length)+ 2(width)
66= 2L+2w
if the length is 7in more than the width, then
L=7+w
Now we will substitute 7+w in for L. Here is our new equation:
66=2(7+w) + 2w
Solve for w
66=14+2w+2w
66=14+4w
52=4w
w=13
L=7+13, so L=20
I hooe this is explained well enough
Answer:
(4x-3)(x+1)
Step-by-step explanation: