ANSWER

EXPLANATION
We want to find the absolute value function for the line in blue.
The general form of an absolute value function is:

where (h, k) = vertex
From the line, the vertex of the graph in blue is:

To find a, we have to pick a point (x, y) on the line and input it into the general function.
Let us pick (2, 1).
Therefore, we have:

Therefore, the absolute value function is:
Well, it should be 45 because 1/3 of the game would be 15 and 15+15 is 30 (2/3rds cost), so 15+15+15, 45, would be the full cost of the game
To find the common ratio, u take ur 2nd term, and divide it by ur 1st term
(-1/6) / (5/12) =
-1/6 * 12/5 =
- 2/5 <== ur common ratio
Answer:
The probability that at least 280 of these students are smokers is 0.9664.
Step-by-step explanation:
Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers
The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:

Thus, a Normal approximation to binomial can be applied.
So,

Compute the probability that at least 280 of these students are smokers as follows:
Apply continuity correction:
P (X ≥ 280) = P (X > 280 + 0.50)
= P (X > 280.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that at least 280 of these students are smokers is 0.9664.
-6 + 7 = 1 and -6*7 = -42
So f(x) = (x + 7)(x - 6)