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
% ![= 0.42](https://tex.z-dn.net/?f=%3D%200.42)
The probability that does not survive more than 500 temperature cycles and it was manufactured by company A is ![P(A | B' ) = 0.73](https://tex.z-dn.net/?f=P%28A%20%7C%20B%27%20%29%20%3D%20%200.73)
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
![P(B' n A ' ) = P (B' | A' ) P(B ')](https://tex.z-dn.net/?f=P%28B%27%20n%20A%20%27%20%29%20%3D%20%20P%20%28B%27%20%7C%20A%27%20%29%20P%28B%20%27%29)
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%
Answer:
![\sqrt{5}\cdot\sqrt[3]{5} =\sqrt[6]{5^3} \cdot\sqrt[6]{5^2} =\sqrt[6]{5^5} =5^{(5/6)}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D%5Ccdot%5Csqrt%5B3%5D%7B5%7D%20%3D%5Csqrt%5B6%5D%7B5%5E3%7D%20%5Ccdot%5Csqrt%5B6%5D%7B5%5E2%7D%20%3D%5Csqrt%5B6%5D%7B5%5E5%7D%20%3D5%5E%7B%285%2F6%29%7D)
Step-by-step explanation:
The rules of exponents apply, even when they are fractional exponents:
![a^b\cdot a^c=a^{b+c}\\\\\sqrt[b]{x^a}=x^{(a/b)}](https://tex.z-dn.net/?f=a%5Eb%5Ccdot%20a%5Ec%3Da%5E%7Bb%2Bc%7D%5C%5C%5C%5C%5Csqrt%5Bb%5D%7Bx%5Ea%7D%3Dx%5E%7B%28a%2Fb%29%7D)
As the angle sum of triangle is 180
with one angle is 60 the sum of the remains two angles is 120
let the smallest angle be x
as the larger angle is twice of the smaller angle, it will be 2x
therefore, x+2x = 120, x= 40
so the smallest angel of the triangle is 40 degree
Recheck the answer with your teacher.
Doing this so I can ask sorry