game wardens use experiments to help determine the number of squirrels in a specific area.
suppose 150 squirrels are caught, tagged, and released back into the wild. Six weeks later, 300 squirrels are caught with 12 found to have tags. using this information, estimate the number of squirrels in the area.
a.375
b.500***
c.3,750
d.5,000
am i correct?
(12/300) * 100% = 4% tagged,
0.04s = 150,
S = 3,750 Squirrels, total.
Not yet...
If 150 were caught and tagged (then there would be a great many tagged animals out there).
The next time they checked only 12 had tags... out of the 300 caught.
So either the squirrels removed their tags (not likely) or... there are a whole lot more squirrels out there.
12/300 = 150/x
if you cross multiply you obtain
12x = (150)(300)
12x = 45000 now divide both sides by 12 and you have the number of squirrels in the wild at that location : )
Thx
tysm
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To estimate the number of squirrels in the area, we can use a method called the Lincoln-Petersen Index or the Mark and Recapture method. Let's break down the steps:
1. In the first capture, 150 squirrels were caught, tagged, and released back into the wild.
2. After six weeks, another capture was conducted, resulting in a total of 300 squirrels caught.
3. Out of the 300 squirrels caught in the second capture, 12 of them were found to have tags.
Now, we can use the formula to estimate the total population:
Total Population size = (Number of Individuals in the first capture * Number of Individuals in the second capture) / Number of Recaptured Individuals
Plugging in the numbers we have:
Total Population size = (150 * 300) / 12 = 4500 / 12 = 375.
So, according to the data and the estimated population calculation, the number of squirrels in the area is 375.
Therefore, the correct answer is option a) 375.