Answer:
- <u><em>Option A: 500 pages</em></u>
Explanation:
<u>1. Number of pages of the first 5 novels</u>
- Average = [Number of pages] / [number of novels]
- 450 pages / novel = Number of pages / 5 novels
- Number of pages = 5 novels × 450 pages / novel = 2,250 pages
<u>2. Average length of all 6 novels</u>
- Average = [Number of pages] / [number of novels]
- Number of pages of 6 novels = 2,250 pages + 750 pages = 3,000 pages
- Average = 3,000 pages / 6 novels = 500 pages / novel
Answer:
(x - 7)(x - 4)(x + 4).
Step-by-step explanation:
A(x) = x3 – 7x² – 16x +112
Dividing by x-7:
x^2 - 16 <-------- Quotient
-----------------------------
x-7)x^3 - 7x^2 - 16x + 112
x^3 - 7x^2
0 - 16x + 112
- 16x + 112
..............
so A(x) = (x - 7)(x^2 - 16) x^2 - 16 is the difference of 2 squares so we have:
(x - 7)(x - 4)(x + 4).
Checking by expanding the brackets:
(x - 7)(x - 4)(x + 4)
= x(x - 4)(x + 4) - 7(x - 4)(x + 4)
= x(x^2 - 16) - 7(x^2 - 16)
= x^3 - 16x - 7x^2 + 114
= x^3 - 7x^2 - 16x + 112
The range of frequency is from 0.05 to 0.35 and a couple f the numbers aren't close to the other numbers 0.05 is not close to 0.21 or 0.35
so the outcomes do not appear to be equally likely, because of that a uniform probability model wouldn't be a good model.
The answer is A
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