Answer:
a) 0.8836
b) 0.7339
c) 0.2342
Step-by-step explanation:
Books classified as fiction = 94% or 0.94 probability
Books classified as non-fiction = 1 - 0.94 = 0.06
a) for two books, we get: 0.94 * 0.94 = 0.8836 Probability
b) The probability that all five books are fiction is: 0.94^5
This equals 0.7339 Probability
c) Probability that one books is non-fiction, while the other 4 are fiction is determined in the following way:
Probability of non-fiction * probability of fiction^(number of books)
0.06 * 0.94^4 = 0.0468
This does not account for the order at which the non-fiction book shows up. Such as the non-fiction book being the first book picked, or in another case - the non-fiction book being the last picked.
Since there are 5 ways this could occur, the total probability will be calculated as shown: 0.0468 * 5 = 0.2342 Probability
Answer: f(2) = -4
Step-by-step explanation: Here we're given the function f(x) = -3x + 2 and we are asked to find f(2).
In other words, if we put an <em>x</em> into our function, we get a -3x + 2 out so what happens when we put a 2 into the function?
Well if we put a 2 into the function,
that's f(2) and we get -3(2) + 2 out.
Now all we have to do is simplify on the right side.
-3(2) is -6 so we have -6 + 2 which is -4.
So f(2) is -4.
Answer:
Step-by-step explanation:
16x^2 + 9 = 25
16x^2 = 16
x^2 = 1
x = 1, -1
Answer:a and b
Step-by-step explanation:
