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formula for a vertex of a parabola - Anadea

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 Question: A historian analyzing records of 19th-century scientific experiments finds three randomly chosen years between 1800 and 1900 inclusive. What is the probability that all three years are divisible by 4?

📌 Solution: First, determine how many years between 1800 and 1900 inclusive are divisible by 4.

📌 The smallest is 1800 (divisible by 4), the largest is 1900.

📌 The sequence of years divisible by 4 is:

📌 1800, 1804, 1808, ..., 1900

📌 This is an arithmetic sequence with first term 1800, last term 1900, and common difference 4.

📌 Number of terms:

📌 \frac{1900 - 1800}{4} + 1 = \frac{100}{4} + 1 = 25 + 1 = 26

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