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An ichthyologist tags 48 fish in a reef and later captures a sample of 60 fish, finding that 6 are tagged. Using the capture-recapture method, estimate the total fish population in the reef.
Rounded = <<round(31.605)=32>>32 mm.
A science fiction novel has chapters of increasing length following the pattern: 12, 15, 18, 21, ... minutes. What is the total time for the first 10 chapters?
This is an arithmetic sequence with first term $ a = 12 $, common difference $ d = 3 $.
An ichthyologist observes that fish biomass in a reef declines exponentially by 12% per year. If the initial biomass is 450 kg, what will it be after 7 years? Round to the nearest kg.
Rounded = <<round(183.915)=184>>184 kg.
Rounded to nearest meter = 24 meters.
A time-loop experiment runs for 120 minutes, with each loop increasing in duration by 2 minutes: 2, 4, 6, ..., up to the 10th loop. What is the total time spent in the time loop?
This is an arithmetic series: $ a = 2 $, $ d = 2 $, $ n = 10 $.
#### 110Question: A DNA sequence of length 7 is composed of nucleotides A, T, C, and G. What is the remainder when the total number of possible sequences is divided by 9?
