there are 19 marked whales
there are 86 whales counted
and 17 marked whales counted
what would be the best estimate for the population
The best estimate for the population of whales would be the ratio of marked whales to total counted whales multiplied by the total marked whales.
Let's calculate it:
Marked whales: 19
Counted whales: 86
Counted marked whales: 17
To estimate the population, we can use a proportion. The ratio of marked whales to total counted whales should be equal to the ratio of total marked whales to the population:
(17 / 86) = (19 / x)
To solve for x, we cross multiply:
17x = 19 * 86
17x = 1634
x ≈ 96
Therefore, the best estimate for the whale population would be around 96.
there are 11 marked whales
there are 57 whales counted
and 8 marked whales counted
what would be the best estimate for the population
The best estimate for the population of whales can be found using a similar approach to the previous calculation.
Given:
Marked whales: 11
Counted whales: 57
Counted marked whales: 8
To estimate the population, we can use the proportion:
(8 / 57) = (11 / x)
Cross multiplying, we get:
8x = 11 * 57
8x = 627
x ≈ 78
Therefore, the best estimate for the whale population would be around 78.
11
52
2
Based on the given information:
Marked whales: 11
Counted whales: 52
Counted marked whales: 2
To estimate the population, we can set up a proportion:
(2 / 52) = (11 / x)
Cross multiplying, we get:
2x = 11 * 52
2x = 572
x = 286
Therefore, the best estimate for the whale population would be around 286.
16
70
10
Based on the provided information:
Marked whales: 16
Counted whales: 70
Counted marked whales: 10
To estimate the population, we can set up the proportion:
(10 / 70) = (16 / x)
Cross multiplying, we get:
10x = 70 * 16
10x = 1120
x = 1120 / 10
x = 112
Therefore, the best estimate for the whale population would be around 112.
16
156
3
Based on the given information:
Marked whales: 16
Counted whales: 156
Counted marked whales: 3
To estimate the population, we can set up a proportion:
(3 / 156) = (16 / x)
Cross multiplying, we get:
3x = 16 * 156
3x = 2496
x = 2496 / 3
x ≈ 832
Therefore, the best estimate for the whale population would be around 832.