Answer:
Step-by-step explanation:
<u>Conditional Probability</u>
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event B has occurred, then the probability that event A occurs is given by:
Where 
is the probability that both events occur and P(B) is the probability that B occurs.
Let's define events A and B for the question. There are 11 students that have a brother and 9 that have a sister. Two of those students have a brother and a sister.
We are given the fact that the selected student has a brother: this is the event that has already occurred, thus:
B = A student has a brother
A = A student has a sister
The probability that a student has a brother is:
The probability that the student has a brother and a sister is:
Thus, the conditional probability is:
Simplifying:
Answer:
Please see picture below.
Step-by-step explanation:
Answer: 40x^4 + 56x^3 − 16x − 14
Step-by-step explanation:
1. For any two functions, the derivative of the product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first.
2. The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0.
3. Simplify
4. Multiply 4x^2 + 7x^1 times 6x^2
5. Multiply 2x^3 - 2 times 8x^1 + 7x^0
6. To multiply powers of the same base, add their exponents.
7. Simplify
8. Combine like terms
9. For any term t, t^1 = t
10. For any term t except 0, t^0 = 1
Answer:
8,6
Step-by-step explanation:
if its the sum, you just add them together.
" 100% " means "the whole thing",
and "is" can be replaced by "is equal to".
You have said "The whole thing of a number is equal to 61."
or
"61 is equal to the whole thing of a number."
The only number that 61 can be equal to is 61.
