Answer:
5.5% probability that a randomly selected person plays soccer
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
People surveyed who play soccer, so
Total outcomes:
Total people surveyed, so
What is the probability that a randomly selected person plays soccer?
5.5% probability that a randomly selected person plays soccer
First of all, note that all integers are either 0,1, or 2 modulo 3 (if you're not familiar with this terminology, it means that every integer is either a multiple of 3, or it is 1 or 2 away from a multiple of 3).
So, we can think of our numbers as
In order to make sure that the sum of any three adjacent numbers is divisible by 3, we have to make sure that any group of 3 three adjacent numbers contains a 0, a 1 and a 2. This is possible only if we arrange our 9 numbers in 3 groups of 3 numbers containing 0,1 and 2 exactly once, repeating always the same pattern.
For example, we could arrange our numbers following the pattern
or
We have possible patterns. Suppose for example that we choose the pattern
One possible way of following this pattern would be the arrangement
In fact, we substituted every '0' with a multiple of 3 (3, 6 or 9), every '1' with a number 1 away from a multiple of 3 (1, 4 or 7) and every '2' with a number 2 away from a multiple of 3 (2, 5 or 8).
This means that, once we fix a patter, we have 3 choices for the first 3 slots, 2 choices for the next 3 slots, and the final slot will be fixed. So, we have
possible ways of following a fixed pattern. Since the number of patterns was 6, we have
possible arrangements.
f(18) = 39.50
This gives the monthly cost Kelsey will pay if she streams 18 movies in a month
Step-by-step explanation:
Given function is:
Here x is the number of movies
so for f(18), this means that the total number of movies will be 18
Solving
Hence,
f(18) = 39.50
This gives the monthly cost Kelsey will pay if she streams 18 movies in a month
Keywords: functions, Domain,range
Learn more about functions at:
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