The answer is A. 4(n 3) - 6n
Answer: 4 cup
Step-by-step explanation:
Here, the total number of cups in lemonade = 20 cups
In which some are cup of lemon juice and some are cups of water.
And, the ratio of cups of lemon juice and water in one lemonade = 1 : 4
Let the cups of lemon juice in one lemonade = 1 x
And, The cups of water in one lemonade = 4 x
Where x is any number.
Thus, 1 x + 4 x = 20
⇒ 5 x = 20
⇒ x = 20/5 = 4
Thus, Damon uses 4 cup of lemon juice in one lemonade.
Answer:
Step-by-step explanation:
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
In order to find the expected value E(1/X) we need to find this sum:

Lets consider the following series:
And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:
(a)
On the last step we assume that
and
, then the integral on the left part of equation (a) would be 1. And we have:

And for the next step we have:

And with this we have the requiered proof.
And since
we have that:
It would be six because they are like terms.