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:
If it is given that the answer is correct , then the probability that he guess the answer
By Bayes theorem , we have
Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.
Answer:
Step-by-step explanation:
If x - 1 is a factor of the cubic, then 1 should result in 0 when you put it in the cubic for x. Does it?
f(1) = 2(1)^3 - 15(1)^2 + 22(1) + 15
f(1) = 2 - 15 + 22 + 15
f(1)= 24.
No the result is not zero. So x - 1 is not a factor.
However there must be something that makes this cubic go to zero. The easiest way to find it is to graph it.
The numbers that do make this zero are -0.5, 3, 5
Which mean that the factors are (2x+1)(x-3)(x - 5)
Answer:
450 minutes
Step-by-step explanation:
15 + 0.1x = 60
15 - 15 + 0.1x = 60 - 15
0.1x = 45
x = 450