Answer:
24 !
Step-by-step explanation:
I can be wrong... but if I remember correctly, by multiplying all three numbers together and getting 24 possible variations, you're taking a shortcut of just matching, for example... one color with three diff interiors and 2 diff engines, one at a time... Whether you do it long-hand like that or just multiply the numbers altogether, you still get the same number of variations. It's just a quicker method to solve this
4*3*2=24
hope i helped :) !
All these are true when X and Y are independent events:
1) The occurrence or lack of event X does not influence the occurrence of event Y, and the occurrence or lack of event Y does not influence the occurrence of event X.
2) P(X∩Y) = P(X) * P(Y)
3) P(X | Y) = P(X).... this is the probability of X given Y is equal to the probability of X.
4) P (Y | X) = P(Y)
5) P(A∪B) = P(A) + P(B) - P(A∩B)
Answer:
A had 22 mangoes, B had 26 mangoes
Step-by-step explanation:
We can write the following system:
A + 10 = 2(B - 10) -- Equation 1
3(A - 10) = B + 10 -- Equation 2
A + 10 = 2B - 20 → A = 2B - 30 -- Equation 3 (Simplify Equation 1)
3(2B - 30 - 10) = B + 10 -- Equation 4 (Substitute 3 into 2)
3(2B - 40) = B + 10
6B - 120 = B + 10
5B = 130
B = 26 -- (Solve for B in Equation 4)
A = 2 * 26 - 30 = 22 -- (Substitute B = 26 into Equation 3)
Answer:
The domain of the function will be {x I x ≠ 13}.
Step-by-step explanation:
The two functions f(x) and g(x) are given to be
f(x) = x + 7 and
Now, we have to find the composite function (fog)(x).
Here, (fog)(x) = f{g(x)}
⇒ 
Therefore, the denominator of the function can not be zero and the domain of the function will be {x I x ≠ 13}. (Answer)
