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
16%
Solve by elimination.
The goal is to cancel out one of the variables in order to easily solve for the other variable.
Do this by changing the equations so that the coefficients of either x or y add up to 0.
Notice the coefficients of y are 3 and 3, if we make one of them negative then they add up to 0. 3+ (-3) = 0
Multiply 2nd equation by -1.
6x +3y = 9
-2x -3y = -1
__________
4x +0y = 8
Solve for x
4x = 8
x = 8/4 = 2
Plug x=2 back into one of original equations to find y.
---> 2(2) + 3y = 1
---> 4 + 3y = 1
---> 3y = -3
---> y = -1
Therefore solution is (2,-1)
Answer:
4 + 12 + 36 + ...
Step-by-step explanation:
4, 12, 36, ... is a geometric sequence, it has a common ratio of 
When we add the terms of a geometric sequence we get a geometric series.
4+12+36+ ... is a geometric series, it has a common ratio of 
4 + 12 + 20 + ... is not a geometric series because it has no common ratio

The second choice is correct
Answer:
sepalacola
Step-by-step explanation:
Answer:
cos x (2 sin x − 1)
Step-by-step explanation:
sin(2x) − cos x
Use double angle formula.
2 sin x cos x − cos x
Factor.
cos x (2 sin x − 1)