Answer:
0.0045 = 0.45% probability that less than two of them ended in a divorce
Step-by-step explanation:
For each marriage, there are only two possible outcomes. Either it ended in divorce, or it did not. The probability of a marriage ending in divorce is independent of any other marriage. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
55% of marriages in the state of California end in divorce within the first 15 years.
This means that 
Suppose 10 marriages are randomly selected.
This means that 
What is the probability that less than two of them ended in a divorce?
This is

In which




0.0045 = 0.45% probability that less than two of them ended in a divorce
Answer:
2801 boxes
Step-by-step explanation:
You have 1 red box
You have 7 blue boxes, so far 8 boxes
There are 49 total black boxes (7*7), making 57 total boxes
There are 49*7 = 343 yellow boxes, making 400 boxes
There are 343*7 = 2401 gold boxes, making for a total of 2801 boxes.
The matrices must be the same size
Good luck
Answer: To find the average rate of change, evaluate the function at the given points.
Evaluate the difference of the function at the given points.
Divide the difference of the function at the given points with the difference of the given points.
Step-by-step explanation:
The Average of rate is -1.
Everytime it goes up by one the y goes down by 1 so it would be -1.
Answer: $80,000
Step-by-step explanation:
40%___$32,000
100%___X=$80,000
(100*32,000)/40 = 80,000