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Home » For 2, the lowest power common to both factorizations is \(2^4\). - Silent Sales Machine

For 2, the lowest power common to both factorizations is \(2^4\). - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A linguist trains a language model on a dataset where 70% of the text is from the 20th century and 30% from the 21st century. If the model processes 1.2 million words, how many more 20th-century words are there than 21st-century words?

📌 20th-century words = 0.7 × 1,200,000 = 840,000

📌 21st-century words = 0.3 × 1,200,000 = 360,000

📌 Difference = 840,000 – 360,000 = 480,000

📌 An epidemiologist estimates that 60% of a city’s population is susceptible to a new virus, and the infection rate is 0.3 per infected person per day. If there are 1,000 initially infected individuals, and each day each infected person transmits to 0.3 susceptible people on average, how many new infections occur in the first day?

📌 Susceptible = 60% of 500,000 = 300,000

📌 But only one calculator needed: new infections = 1,000 × 0.3 × 300 available? Wait — correction: transmission is per infected person to susceptible contacts, but unless specified, assume baseline transmission rate applies: each infected person infects 0.3 susceptible per day.

📌 So new infections = 1,000 × 0.3 = 300

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