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.
Answer:
2187.5 cubic meters of water
Step-by-step explanation:
Volume of rectangle = L * W * D
V = 50 * 25 * 1.75
V = 2187.5
9514 1404 393
Answer:
geometric sequence
Step-by-step explanation:
The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...
an = 3(-4)^(n-1)
so the sum can be written as ...

(Note the summation starts at n=0, corresponding to a first term of 3.)
Answer:
184
Step-by-step explanation:
17.70 / 170 = .104 per text
19.10 / .104 = 183.65 round up to 184
Answer:
A
Step-by-step explanation:
multiply $17.95 by 40% to get the discount ($17.95 x .4), which equals $7.18.
the sale price is the initial price of the book less the discount ($17.95-$7.18), which equals $10.77.