I think you meant a+5(b)+c the answer is b is a unknown value
Answer:
B and E
Step-by-step explanation:
Answer: 0.9730
Step-by-step explanation:
Let A be the event of the answer being correct and B be the event of the knew the answer.
Given: ![P(A)=0.9](https://tex.z-dn.net/?f=P%28A%29%3D0.9)
![P(A^c)=0.1](https://tex.z-dn.net/?f=P%28A%5Ec%29%3D0.1)
![P(B|A^{C})=0.25](https://tex.z-dn.net/?f=P%28B%7CA%5E%7BC%7D%29%3D0.25)
If it is given that the answer is correct , then the probability that he guess the answer ![P(B|A)= 1](https://tex.z-dn.net/?f=P%28B%7CA%29%3D%201)
By Bayes theorem , we have
![P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cdfrac%7BP%28B%7CA%29P%28A%29%7D%7BP%28B%7CA%29P%28A%29%2BP%28C%7CA%5Ec%29P%28A%5Ec%29%7D)
![=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730](https://tex.z-dn.net/?f=%20%3D%5Cdfrac%7B%281%29%280.9%29%7D%7B%281%29%29%280.9%29%2B%280.25%29%280.1%29%7D%5C%5C%5C%5C%3D0.972972972973%5Capprox0.9730)
Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.
The inverse of the function f(x)= x+3 would be x-3.
>
the answer is “>” because 12.312 is greater than 12.132