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cast of the movie trouble with the curve - IQnection

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Find the sum of the infinite geometric series with first term 5 and common ratio \(rac{1}{3}\).

📌 The sum is \(rac{a}{1 - r} = rac{5}{1 - rac{1}{3}} = rac{5}{rac{2}{3}} = 5 imes rac{3}{2} = 7.5\).

📌 A box contains 5 red, 4 blue, and 3 green balls. Two balls are drawn at random without replacement. What is the probability both are red?

📌 Total balls = 12. Probability first red = \(rac{5}{12}\).

📌 After one red is drawn, 4 red left, 11 total. Probability second red = \(rac{4}{11}\).

📌 Multiply: \(rac{5}{12} imes rac{4}{11} = rac{20}{132} = rac{5}{33}\).

📌 A 15-meter ladder leans against a wall, reaching a height of 12 meters. How far is the base from the wall?

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