The New Jersey Division of Fish and Wildlife keeps track of the beaver population in the Raritan River. They tagged 42 beavers and released them. A week later, they captured 54 beavers, including 14 tagged beavers. What is a good estimate of the beaver population in the Raritan River?
There are approximately ___ beavers in the Raritan River.
so what the answer
PLS HELP!! I NEED THE ANSWERS...i don't mean to be intense or anything, but i really need this answer, I'm literally failing math -_-
yuh ಥ_ಥ
y'all are amazing at giving the answers omg 😐
To estimate the beaver population in the Raritan River, we can use a method called mark and recapture. This method assumes that the proportion of tagged beavers in the second sample is representative of the overall population.
First, let's set up the equation based on the information given:
(Number of tagged beavers in first sample / Total estimated population) = (Number of tagged beavers in second sample / Number of beavers in second sample)
From the given information, we know that the number of tagged beavers in the first sample is 42, the number of tagged beavers in the second sample is 14, and the total number of beavers in the second sample is 54.
Now, we can substitute the values into the equation:
(42 / Total estimated population) = (14 / 54)
To solve for the total estimated population, we can cross multiply and solve for x:
42 * 54 = 14 * Total estimated population
2278 = 14 * Total estimated population
Total estimated population = 2278 / 14
Total estimated population ≈ 163
Therefore, a good estimate of the beaver population in the Raritan River would be approximately 163 beavers.
assuming the same percentage tagged,
since 42 is 3*14, there must have been 3*54 beavers in all, right?
Or, what they're probably looking for,
42/x = 14/54