Part A. Your model is as good as any. It is hard to tell if the label needs to include the descriptor (length = 12 ft, for example). Certainly your model is sufficient for Part B.
Part B. The total area is the sum of the areas of each of the 6 faces of the box. Opposite faces are the same area, so you have
A = 2(LW +WD +LD) = 2(LW +D(L +W))
Subsituting the given dimensions, you get
A = 2((12 ft)(6 ft) +(3 ft)(12 ft +6 ft))
A = 2(72 ft² +(3 ft)(18 ft))
A = 2(72 ft² +54 ft²) = 252 ft²
The least amount of paper required to cover the box is 252 ft².
The answer: it is not in a quadrant, true
Using the binomial probability relation, the probability that exactly 27 graduates earn a college degree is 0.069
<u>Using the relation</u> :
<em>P(x = x) = nCx * p^x * q^(n-x) </em>
- Probability of success, p = 0.15
- q = 1 - p = 1 - 0.15 = 0.85
- Number of trials, n = 200
- X = 27
<u>Probability of exactly 27 graduates can be defined thus</u> :
P(x = 27) = 200C27 × 0.15^27 × 0.85^173
P(x = 27) = 0.0686264
Therefore, the probability of selecting <em>exactly 27 graduates</em> is 0.069
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