A radio station has two tickets to give away to a Beyonce concert. It held a contest and narrowed the possible recipients down to four people: Alyssa (A), Mackenzie (M), Crystal (C),
and Grace (G). The names of two of these four will be
selected at random from a hat and the
two people will be awarded the tickets.
1. Use the counting principle to determine the number of points in the sample space.
2. Construct a tree diagram and list the sample space.
3. Determine the probability that Mackenzie is selected.
4. Determine the probability that Alyssa is not selected.
5. Determine the probability the neither Grace nor Crystal are selected.

37

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

n

step-by-step explanation: