oh the 50 fish that Alan cart from the lake 14 were trout .the estimated population of the lake is 7500 fish how many trout would you expect to be in the lake
Use proportions.
(14/50) = (x/7500) or
14 trout of 50 fish = 28% and 0.28 x 7500 = 2100.
the doubling operation did not change the percentage
the un-doubling at the end gives an erroneous result
oh the 50 fish that Alan cart from the lake 14 were trout .the estimated population of the lake is 7500 fish how many trout would you expect to be in the lake
To estimate the number of trout in the lake, we can use proportions.
First, we need to find the proportion of trout in the sample taken by Alan. We can calculate this by dividing the number of trout caught by the total number of fish caught:
Proportion of trout = Number of trout caught / Total number of fish caught
In this case, Alan caught 50 fish and 14 of them were trout:
Proportion of trout = 14 / 50
Next, we can use this proportion to estimate the number of trout in the entire lake. Since the estimated population of the lake is 7500 fish, we can set up a proportion:
Proportion of trout in the lake = Number of trout in the lake / Total number of fish in the lake
Using the proportion we found earlier:
14 / 50 = Number of trout in the lake / 7500
To solve for the number of trout in the lake, we can cross-multiply and then divide:
Number of trout in the lake = (14 / 50) * 7500
This will give us the estimated number of trout in the lake based on the sample taken by Alan.
Answer: 1050
Well do percentage. percent is mostly related to 100. so let's double the amount of fish caught all together. to make it 100 that you caught so that means you caught 28 trout..so you have to find 28% of 7500
How many 100s make 7500? 75
so multiply 75×28= 2100(2100 would be 28% of 7500)
now remember we doubled to get an easy%.
Now divide 2100÷2= 1050
estimate of trout 1050