there are 19 marked whales

there are 86 whales counted
and 17 marked whales counted
what would be the best estimate for the population

9 answers

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.
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