First, let's expand the right side. Now our equation is
Now, we gather all the terms with x in it on the left side, and the numbers without x on the right. We get:
And then we can make this
We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08
The red 4 is in the thousands place and the green 4 is in the hundreds place (refer to image).
Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if and then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.
side note: q = 1-p is the complement of probability p
Answer:
V = 3 x 14 x 6 1/4 = 3 x 14 x 25/4 = 1050/4 = 525/2 = 262 1/2 ft
=> Option D is correct
Hope this helps!
:)