Solve this pleaseeeeeeeeeee
2 answers:
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Answer:
<h2>44 units²</h2>Step-by-step explanation:
The Pick's theorem
Let P be a polygon in the plane whose vertices have integer coordinates. Then the area of P can be determined just by counting the lattice points on the interior and boundary of the polygon!
In fact, the area is given by
where <em>i</em> is the number interior lattice points, and <em>b</em> is the number of boundary lattice points.
<em>Look at the picture</em>.
<em>i = 38</em>
<em>b = 14</em>
Substitute:
Start building the two-way frequency table: it will have three rows (cat, no cat, total) and three columns (dog, no dog, total).
Start filling the table with the data you know:
| dog | no dog | total
cat | | | 17 |
no cat | | 7 | |
total | | 20 | 41 |
Now you can make easy calculations in order to fill the blanks:
- the number of patrons with cats but not dogs: (20 - 7) = 13;
- the number of total dogs: (41 - 20) = 21
- the total number of patrons with no cats: (41 - 17) = 24.
Now the table looks like this:
| dog | no dog | total
cat | | 13 | 17 |
no cat | | 7 | 24 |
<span>total | 21 | 20 | 41 |
And you can use the new data to complete the table:</span>
- the number of patrons with cats and dogs: (17 - 13) = 4
- the number of patrons with dogs and no cats: (24 - 7) = 17
The final table is in the picture attached.
Start filling the table with the data you know:
| dog | no dog | total
cat | | | 17 |
no cat | | 7 | |
total | | 20 | 41 |
Now you can make easy calculations in order to fill the blanks:
- the number of patrons with cats but not dogs: (20 - 7) = 13;
- the number of total dogs: (41 - 20) = 21
- the total number of patrons with no cats: (41 - 17) = 24.
Now the table looks like this:
| dog | no dog | total
cat | | 13 | 17 |
no cat | | 7 | 24 |
<span>total | 21 | 20 | 41 |
And you can use the new data to complete the table:</span>
- the number of patrons with cats and dogs: (17 - 13) = 4
- the number of patrons with dogs and no cats: (24 - 7) = 17
The final table is in the picture attached.