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Weeks: 6
Pairs: 8
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
59% (02:16) correct
41%
(02:29)
wrong
based on 588
sessions
History
Date
Time
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Not Attempted Yet
A wildlife conservation organization is conducting a study on a population of birds. In this study, pairs of birds are tagged and released into designated habitats. Each pair consists of exactly two birds, and no bird is part of more than one pair. The study begins with 1024 birds being tagged and released into the habitats. After each week, half of the pairs of birds in the habitats remain in the study, while the other half are removed from the habitats and returned to a safe environment.
Select for Weeks the number of weeks since the birds were released into the habitats, and select for Pairs the number of pairs of birds still in the habitats after that number of weeks that would be jointly consistent with the given information. Make only two selections, one in each column.
Select for Weeks the number of weeks since the birds were released into the habitats, and select for Pairs the number of pairs of birds still in the habitats after that number of weeks that would be jointly consistent with the given information. Make only two selections, one in each column.
| Weeks | Pairs | |
| 3 | ||
| 5 | ||
| 6 | ||
| 7 | ||
| 8 |
ShowHide Answer
Official Answer
Weeks: 6
Pairs: 8
14 Apr 2025, 05:26
Kudos
Bookmarks
Official Solution:
The study begins with 1024 birds, which means 1024/2 = 512 pairs.
After each week, half of the pairs remain in the habitats:
• Week 1: 512/2 = 256 pairs
• Week 2: 256/2 = 128 pairs
• Week 3: 128/2 = 64 pairs
• Week 4: 64/2 = 32 pairs
• Week 5: 32/2 = 16 pairs
• Week 6: 16/2 = 8 pairs
...
We need to look for the number of weeks and the corresponding number of pairs from this list that are present in the options.
We have 6 weeks and 8 pairs — both values are in the options.
Correct answer:
Weeks "6"
Pairs "8"
Bunuel
The study begins with 1024 birds, which means 1024/2 = 512 pairs.
After each week, half of the pairs remain in the habitats:
• Week 1: 512/2 = 256 pairs
• Week 2: 256/2 = 128 pairs
• Week 3: 128/2 = 64 pairs
• Week 4: 64/2 = 32 pairs
• Week 5: 32/2 = 16 pairs
• Week 6: 16/2 = 8 pairs
...
We need to look for the number of weeks and the corresponding number of pairs from this list that are present in the options.
We have 6 weeks and 8 pairs — both values are in the options.
Correct answer:
Weeks "6"
Pairs "8"
General Discussion
12 Sep 2024, 10:47
Kudos
Bookmarks
We have 1024 birds in the beginning => 512 pairs of tagged birds. This is crucial, if you start with 1024 you'll get the wrong answer.
After each week, half birds are released and the other half remains.
After Week 1, 256 birds are released, 256 pairs remain.
After Week 2, 128 birds are released, 128 pairs remain.
After Week 3, 64 birds are released, 64 pairs remain.
After Week 4, 32 birds are released, 32 pairs remain.
After Week 5, 16 birds are released, 16 pairs remain.
After Week 6, 8 birds are released, 8 pairs remain.
Therefore, Weeks Completed = 6, pairs remaining = 8.
After each week, half birds are released and the other half remains.
After Week 1, 256 birds are released, 256 pairs remain.
After Week 2, 128 birds are released, 128 pairs remain.
After Week 3, 64 birds are released, 64 pairs remain.
After Week 4, 32 birds are released, 32 pairs remain.
After Week 5, 16 birds are released, 16 pairs remain.
After Week 6, 8 birds are released, 8 pairs remain.
Therefore, Weeks Completed = 6, pairs remaining = 8.
