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📰 Solution: The number of ways to choose 3 18th-century manuscripts is $inom{5}{3}$. Total ways to choose 3 manuscripts from 15 is $inom{15}{3}$. The probability is $rac{inom{5}{3}}{inom{15}{3}} = rac{10}{455} = rac{2}{91}$. $oxed{\dfrac{2}{91}}$Question: If the combined population of two marine mammal species in a region is 10 and the sum of their squared populations is 50, find the sum of their cubes. 📰 Solution: Let the populations be $ a $ and $ b $. Given $ a + b = 10 $ and $ a^2 + b^2 = 50 $. First, compute $ ab $ using $ (a + b)^2 = a^2 + 2ab + b^2 $. Substituting, $ 100 = 50 + 2ab $, so $ ab = 25 $. The sum of cubes is $ a^3 + b^3 = (a + b)^3 - 3ab(a + b) = 1000 - 3 \cdot 25 \cdot 10 = 1000 - 750 = oxed{250} $. 📰 Question: A financial model predicts revenue from two products with $ x + y = 4.5 $ and $ x^2 + y^2 = 10.25 $. What is $ 5x + 5y $? 📰 How A Small Business Ira Could Boost Your Wealth Faster Than You Think 2609412 📰 Go Vzw Con Bill 6986734 📰 Function Transformations 849431 📰 Just Dropped The Parasite Zapper Thats Wreaking Havoc On Household Pests 625069 📰 4 Breaking Switch 2 News Exposes The Shocking Agenda You Cant Miss 1819582 📰 S4 1 S4 2 1 7 8 8754381 📰 Revel In The Chase Drift Hunters Unleash Ultimate Racing Secrets 9629511 📰 Will David Benavidez Dominate Again The Fight You Wont Believe Is Coming 2074193 📰 Full Restoration Alert This 1967 Impala Sedan Looks Like It Just Rolled Out Of A Dream 7462241 📰 Organ Chem 4642537 📰 Saint Catherine University 14497 📰 Ice Cube When He Was Young 2560909 📰 Film Warcraft The Beginning 7579637 📰 The Shameful Image Goes Viral As Secrets Are Revealed 9788322 📰 Wunmi Mosaku Movies And Tv Shows 3065414