The circumference is 12.56cm and the area is 12.56cm
The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55
<h3>How to determine the population of squirrel?</h3>
The given parameters are:
Marked squirrels = 43
Captured squirrels = 50
Of the 50 captured squirrels, 38 are from the marked squirrels.
This means that the number of unmarked squirrels is:
Unmarked = 50 - 38
Evaluate
Unmarked = 12
The population of the squirrel is then calculated using:
Population = Marked + Unmarked
So, we have:
Population = 43 + 12
Evaluate the sum
Population = 55
Hence, the estimate of the population of squirrel in the park is 55
Read more about population at:
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Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.
(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²
Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2
Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
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