One number is 15 and the other is 16. You get this answer by first finding a factor of 3(15) that when it's subtracted from 31 gives you a factor of 8(16). Then you divide in this case 15 by 3 and get 5 and 16 by 8 and get 2. The reason you divided the numbers is because now you have 5 which is 1/3 of 15 and 2 which is 1/8 of 16. Now that you have your numbers that equal your fractions multiply 5 which is your 1/3 by the 2 from your 2/3 to get 10 which is 2/3 of 15 and 2 which is 1/8 by the 5 from you 5/8 to get 10 which is 5/8 of 16
Answer:
If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent.
Step-by-step explanation:
In the problem, we have a coefficient matrix comprising linear equations. If in each row of the supposed coefficient matrix, there is a pivot position. Therefore, it is true that the bottom row of the coefficient matrix also has a pivot position. As a result, there will not be space for the augmented column to have a. Thus, we say the system is consistent based on the theorem.
To find the volume of the prism you are going to use the formula V=WxLxH.
When you plug in your numbers you should get V= 18x6x9 which ends up equaling 972.
Now that you have that you need to find the volume of the pyramid using the formula V= L x W x H /3 and when you plug that in it looks like
V= 18 x 6 x 15 /3
Upon simplifying that you get 540.
Now you have the volume of your rectangular prism and your rectangular pyramid add them together and you should get 1512
I recommend drawing it out... it helps a lot:)
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:
2.97142857143 = 104/35
Step-by-step explanation:
On calculators, anytime we're doing a fraction problem and we use calculators, It doesn't give us the fractions all it gives us is decimals, but i finally got the fraction for you. hope this helped
Make sure nobody copied and pasted my answer because i would be WILLING TO report their answer for copying and pasting
