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quester [9]
3 years ago
13

Compute the permutation.

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0
This is a question of permutation, where;

There is only one farmer who who has to plow four field. The farmer can choose to start and end with any field. Since ordering is critical, permutation theory comes into play.

Orders of plowing = nPr = n!/(n-r)!

Where
n = 4
r = 1
Substituting;
Orders of plowing = 4P1 = 4!/(4-1)! = 4
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Answer:

YES, the number of people who visited the park can be represented as a function of the daily average temperature.

Step-by-step explanation:

From the table of values given which defines the number of visitors to the park as a function of daily temperature, the temperature is the domain values (independent variable), while the number of visitors is the range values (dependent variable).

For any relation to be considered a function, as a principle, any given domain value must have exactly one range value. In other words, there must not be two different range values assign to one domain value.

This means, for the relation between temperature and number of visitors to be considered a function, it must not have a domain value that is mapped to more than one range value.

Examining the table given, if we map each domain value to the range value, we will find out that there are only 1 exact range value for a domain value.

<em>Therefore, we can say: YES, the number of people who visited the park can be represented as a function of the daily average temperature.</em>

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