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Home » Probability first green: 6/15 - AMAZONAWS

Probability first green: 6/15 - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 $ x + y = 10 $, $ x^2 + y^2 = 58 $

📌 Now substitute into the identity:

📌 x^3 + y^3 = (10)^3 - 3(21)(10) = 1000 - 630 = 370

📌 Thus, $ x^3 + y^3 = \boxed{370} $.

📌 Question: Compute $ (a + b)^2 - (a - b)^2 $ in terms of $ a $ and $ b $.

📌 Thus, the expression simplifies to $ \boxed{4ab} $.Question: A herpetologist measured the lengths of two crocodile tails: one was $3\frac{1}{4}$ inches and the other was $5\frac{3}{4}$ inches. What is the average length, in inches, of the two tails?

📌 Solution: To find the average, add the two lengths and divide by 2. First, convert the mixed numbers to improper fractions:

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