Answer: 
Step-by-step explanation:
Let A = he known the answer then A' = he guess the answer.
B = he answered it correctly
As per given , we have
By Bayes theorem , we have
The probability that the student knows the answer given that he answered it correctly is .
Answer:
"The next term should be 11"
Step-by-step explanation:
If we look closely at the sequence we can see:
second term is 3 more than previous
third term is 2 less than previous
fourth term is 3 more than previous
fifth term is 2 less than previous
We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.
Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11
The next term would be 11
Answer:
2 x 2 x 7 = 28 2 x 2 x 2 x 5 = 40 2 x 2 x 2 x 2 x 3 x 3 = 144 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 504... ... The LCM of the given two numbers using prime factorization is 36 ...
Step-by-step explanation:
Answer:
(x - 9)(x + 3)
Step-by-step explanation:
Given
x² - 6x - 27
Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)
The factors are - 9 and + 3, since
- 9 × 3 = - 27 and - 9 + 3 = - 6, thus
x² - 6x - 27 = (x - 9)(x + 3)
To find how much each person will get, you have to divide the amount available by the people. There are 2 ways I believe we can do this.
First way
Let's divide.
2÷9= 2/9
Each person would get 2/9 of a gallon if they shared it.
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Second way
I believe it would be easier to convert this into cups. There are 16 cups per gallon.
16×2= 32
Let's divide that by 9.
32÷9= 3 5/9 cups per person.
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Each person would receive 2/9 of a gallon.
