graph theory : given graph g with n vertices, prove that ? (¯) ? n
[a hint that was given to us is to consider what will happen to the maximal independent set in the compliment graph, since we know that ? (g)q ? n, where "q" is the largest independent set in g]

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 3f(x)? a) shifts the line 3 units up b) shifts the line 3 units down c) increases the slope of the line by a factor of 3 d) decreases the slope of the line by a factor of 3

The random variable x is the number of occurrences of an event over an interval of ten minutes. it can be assumed that the probability of an occurrence is the same in any two-time periods of an equal length. it is known that the mean number of occurrences in ten minutes is 5.3. the appropriate probability distribution for the random variable

With number 11 ( show how you got the answer)