We are to find P(A' ∩ B).
A' indicates Compliment of A.
Since A and B are independent events, we can use the formula:
P(A' ∩ B) = P(A') x P(B)
P(A') = 1 - P(A) = 1 - 0.4 = 0.6
So,
P(A' ∩ B) = 0.6 x 0.9 = 0.54
So, option A gives the correct answer
Answer:
a: 162
b: 142
Step-by-step explanation:
a: december 1=2
a: december 2=6
a: december 3 = 6 x 3 = 18
a: december 4 = 18 x 3 =54
a: december 5 = 54 x 3 =162
~ triples the number of newspapers means "x3" ~
so on the last day, 162 newspapers
B: sum up all the newspapers:
2 + 6 + 18 + 54 + 162
= 8 + 18 + 54 + 162
= 26 + 54 + 162
= 80 + 162
= 242 all in total newspapers
(x–4) (3x^2 + 2)
i hope that helps with you’re expression
Answer:
The probability is 
16%
Step-by-step explanation:
From the question we are told that
A is the event that the chip was "made by company A"
B is the event that a chip "survives 500 temperature cycles"
The probability that a computer chip survives more than 500 temperature cycles is
% 
The probability that does not survive more than 500 temperature cycles and it was manufactured by company A is 
The probability that the computer chip is not manufactured by company A and does not survive more than 500 temperature cycles is mathematically evaluated as
Where 
are a A and B complements and | represented AND operator
So
![P(B' n A ' ) = [1 - P (B' | A )] [1 - P(B )]](https://tex.z-dn.net/?f=P%28B%27%20n%20A%20%27%20%29%20%3D%20%5B1%20-%20%20P%20%28B%27%20%7C%20A%20%29%5D%20%5B1%20-%20P%28B%20%29%5D)
substituting values
![P(B' n A ' ) = [1 - 0.73] [1 - 0.42 ]](https://tex.z-dn.net/?f=P%28B%27%20n%20A%20%27%20%29%20%3D%20%5B1%20-%20%200.73%5D%20%5B1%20-%200.42%20%5D)
16%
(2x - 6)^2 = (2x - 6)(2x - 6) = 4x^2 - 12x - 12x + 36 = 4x^2 - 24x + 36
