Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
Answer:
y-6=1/2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-6=1/2(x-4)
Answer:
k = 3
Step-by-step explanation:
-12 = 3 - 2k - 3k
-12 = 3 - 5k
5k = 15
k = 3
Frank will need 4 gallons of juice.
35*12=420 fluid ounces
420/32=13.125 quarts
13.125/4=3.28 gallons
He will have some juice cups left over.
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
