Answer:
The answer is 20.
Step-by-step explanation:
Answer:

And we can find the individual probabilities like this:
And adding we got:

Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
For this case we want to find this probability:

And we can find the individual probabilities like this:
And adding we got:

1) Americans spend 418,784.358 minutes on the toilet in their life time.
2) 85,096.56 minutes if you are at the age of 16.
Answer:
m = 30, b = 20
Step-by-step explanation:
1. The equation is written in slope-intercept form, so it follows the following equation: y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.
2. As you can see, 30 is the value that took the place of m, and 20 is the value that took the place of b.
Therefore, m is 30 and b is 20.
An = -2n(n + 3)
a(15) = -2(15)(15 + 3) = -30(18) = -540