Bear population. To estimate the size
Use a proportion to solve
of the bear
population on the Keweenaw Peninsula, conservationists
captured, tagged, and released 50 bears. One year later, a
random sample of 100 bears included only 2 tagged bears.
What is the conservationist’s estimate of the size of the
bear population
2/50=100/x cross multiply
2x=500 divide by 2
x=250 result
Azteca, 50(100) = 2500 not 250
or
it appears that 2/100 or 2% of the bear population was tagged.
So the 50 must be 2% of the bear population
.02x = 50
x = 50/.02 = 2500
I think that the answer is 2/100=50/2 cross multiply it to make it 2x2=4 and 50x 100 is 5000 or 2/100= 2/50 cross multiply it to get 100 and 200 divide it by 2 to get 100 and to get 50...I think i messsed up :/
To estimate the size of the bear population on the Keweenaw Peninsula, we can use a proportion-based approach.
First, we need to set up a ratio using the tagged bears and the sample bears. The proportion can be set up as follows:
(tagged bears in the sample)/(total sample bears) = (tagged bears in the population)/(total bear population)
In this case, we know that the tagged bears in the sample are 2, and the total sample bears are 100. However, we do not know the total bear population or the tagged bears in the population, which we need to find.
So, we can set up the proportion like this:
2/100 = x/50
Now, we can solve for x by cross-multiplying:
2 * 50 = 100 * x
100 = 100x
Dividing both sides by 100:
x = 1
Therefore, the conservationist's estimate of the size of the bear population on the Keweenaw Peninsula is 1, which means they estimate that there is one bear for every tagged bear found in the sample.