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
<span>A = 157, B = 23
The definition of supplementary angles is that they add up to 180 degrees. So A+B = 180. And A = 7B - 4.
So write down the formula
A + B = 180
Substitute the formula for A in terms of B
7B - 4 + B = 180
Combine terms
8B - 4 = 180
Add 4 to both sides
8B = 184
Divide both sides by 8
B = 23
Now calculate A in terms of B
A = 7B - 4
A = 7 * 23 - 4 = 161 - 4 = 157
Verify that A and B add up to 180
157 + 23 = 180</span>
Answer:
-9216A
Step-by-step explanation: