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%
.2 (simplified from 0.20)
2/10 (simplified from 20/100)
Answer:
Rex earns $250 in interest after 2 years.
Step-by-step explanation:
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
Step-by-step explanation:
If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.
A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:
<u>Original statement:</u> The grass is wet because it was raining.
<u>Contrapositive statement:</u> It was not raining, so the grass is not wet.
Notice how we "flipped" the original sentence around, as wrote it's "opposite".
