Question

In order to estimate the population size of the woodlice in her garden, Jessica used the mark-recapture method: she trapped, marked and released 20 woodlice. Three days later, she trapped 15 woodlice and observed that 10 had marks. Use the following formula to estimate the woodlice population size: population size = 1st sample × 2nd sample ÷ 2nd sample that had been marked.

NEED HELP ASAP
100 PTS!!!!!!!

Answer 1

Okay, let's break this down step-by-step:
1) Jessica originally trapped, marked and released 20 woodlice. So the 1st sample =
20.
2) 3 days later, she trapped 15 woodlice
total. So the 2nd sample = 15.
3) Of the 15 woodlice trapped on the 2nd day, 10 of them had marks. So the 2nd
sample that had been marked = 10.
4) Plugging this into the formula:
Population size = 1st sample × 2nd sample ÷
2nd sample that had been marked
= 20 × 15 ÷ 10
= 300 sample that had been marked = 10.
4) Plugging this into the formula:
Population size = 1st sample × 2nd sample ÷
2nd sample that had been marked
= 20 × 15 ÷ 10
= 300
Therefore, the estimated population size of the woodlice in the garden is 300.
Did I interpret the problem and formula correctly? Let me know if you need more details.

Answer 2

Okay, let's break this down step-by-step:

1) Jessica originally trapped, marked and released 20 woodlice. So the 1st sample = 20.

2) 3 days later, she trapped 15 woodlice total. So the 2nd sample = 15.

3) Of the 15 woodlice trapped on the 2nd day, 10 of them had marks. So the 2nd sample that had been marked = 10.

4) Plugging this into the formula:

Population size = 1st sample × 2nd sample ÷ 2nd sample that had been marked

= 20 × 15 ÷ 10

= 300

Therefore, the estimated population size of the woodlice in the garden is 300.

Did I interpret the problem and formula correctly? Let me know if you need more details.