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%
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Question from Amanda, a parent:
what is the area of a circle with a circumference of 3000 metres?
Amanda,
The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.
If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.
When we simplify this, we get A = C2 / (4 π).
Now you can put your value of C into this equation and find A. Remember, π is about 3.1416.
Answer:
1) f(g(2)) = 24
2) f(g(-1)) = -4
Step-by-step explanation:
1) GIven f(x) = x²+2x and g(x) = 2x
f(g(x)) = f(2x)
f(2x) = (2x)² + 2(2x)
f(2x) = 4x² + 4x
f(g(x)) = 4x² + 4x
f(g(2)) = 4(2)² + 4(2)
f(g(2)) = 16+8
f(g(2)) = 24
2) f(x) = x+1 and g(x) = 5x
f(g(x)) = f(5x)
f(5x)= 5x + 1
f(g(x)) = 5x + 1
f(g(-1)) = 5(-1) + 1
f(g(-1)) = -5+1
f(g(-1)) = -4
Answer: Yes!
Step-by-step explanation:
Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.
Answer:
12. 5(5x+4)(5x-4)
13. 2(4v+5)(4v-5)
14. 5(3x+2)(3x-2)
Step-by-step explanation:
