solution:
We are going to use this property: P(A U B) = P(A) + P(B) – P(AB)
First we treat (A U B) as one event as follows:
P( (A U B) U C) = P( A U B ) + P(C) – P((A U B)C)
= P( A U B ) + P(C) – P(AC U BC)
= P(A) + P(B) – P(AB) + P(C) – P(C) – P(AC U BC )
=P(A) + P(B) – P(AB) + P(C) –P(AC) – P(BC) + P(ABC)
= P(A) + P(B) + P(C) – P(AB) – P(AC) – (BC) + P(ABC)
Answer: B (-2)
Step-by-step explanation:
[log base b of a = c] turns into [b^c = a]
You have log base 5 of 1/25 = ?, so it turns into 5^? = 1/25
This part is sort of guess and check, but we can look at it to find the answer pretty easily. First, it's 1/n, so we should use a negative power: 5^-1 = 1/5
In addition to being in the denominator, it's 25, which is 5^2.
So, if we want to put it in a reciprocal as well as square it, we can use -2:
5^(-2) = 1/(5^2) = 1/25
Since -2 (B) is the exponent we place on 5 to get 1/25, it is also the answer to log base 5 of 1/25.
Answer:
D
Step-by-step explanation:
You are subtracting two functions to get the profit, the formula is p(x)=r(x)-c(x). You know what two of those functions are equivalent to so plug it in to get
p(x)=11x-(6x+20)
to solve you must first get rid of the parentheses by distributing the negative.
p(x)=11x-6x-20
then, combine like terms (both x's)
p(x)=5x-20
That is your final answer.