Which rules define the function graphed below?
1 answer:
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Inequality with OR: We use OR when you have two or more cases that could or not happen at the same time, for example with inequalities when you have an OR you use the union of the sets given by the inequalities. for example if we have the following two inequalities
it will represent the union of the set of numbers that are greater than one with the set of the numbers that are less than zero.
Inequality with AND: We use AND when you need that all the conditions holds at the same time (here is not accepted that only one holds) for example with inequalities when you have AND you need to use the intersection of the sets given by the inequalities. For example:
will represent the intersection of the set of number that are greater than two and less than ten AT THE SAME TIME
The
formula , where r! is 1*2*3*...r
is the formula which gives us the total number of ways of forming groups of r objects, out of n objects.
for example, given 10 objects, there are C(10,6) ways of forming groups of 6, out of the 10 objects.
<span>The sample space S in our problem is as follows: </span>
triples selected from 5 freshmen, 4 sophomores, and 4 juniors, so that at least 1 freshman is selected.
The selection of 1 freshman can be done in 5 ways. The selection of the remaining 2 out of 4 freshmen (one is already chosen), 4 sophomores, and 4 juniors can be done in C(12, 2) many ways.
So there are in total, 5*66= 330 possible triples.
n(S)=330
The event E "selecting 2 freshmen and 1 junior" can occur in :
many ways.
so n(E)=40
P(E)=n(E)/n(S)=40/330=0.12
Answer: 0.12