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Home » After Day 5: \( 65,536 / 2 = 32,768 \). - Baxtercollege

After Day 5: \( 65,536 / 2 = 32,768 \). - Baxtercollege

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A palynologist is analyzing pollen samples to determine the percentage of a specific type of pollen in a sediment layer. If 40% of the pollen grains are from oak trees and 30% of those oak grains show damage due to environmental factors, what percentage of the total pollen grains are damaged oak pollen grains?

📌 Damaged oak pollen = 40% × 30% = 0.4 × 0.3 = 0.12 = 12%

📌 A linguist is using a large language model to track the evolution of word usage over time. If the frequency of a rare word increased from 0.02% to 0.05% of all words in a corpus over a century, by what factor did the word’s frequency increase?

📌 Factor increase = 0.05 / 0.02 = 2.5

📌 An epidemiologist is modeling the spread of a disease in a population of 500,000. Initially, 1% are infected. After one week, the number of infected individuals increases by 40%. How many people are infected after one week?

📌 Initial infected = 1% of 500,000 = 0.01 × 500,000 = 5,000

📌 Increase = 40% of 5,000 = 0.4 × 5,000 = 2,000

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