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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 $? 📰 Look Up Dea By Npi 5041730 📰 Half Man Half Goat 1431426 📰 Los Angeles Community College 9926340 📰 You Wont Believe What Happens When You Unlock Your Fanbox Secrets 8840409 📰 Unlock Incredible Action Play 1St Person Shooter Online Without Downloading A Single File 3913170 📰 Hris Vs Hrms Which One Will Revolutionize Your Workplace Functionality 7971048 📰 This Match Will Leave You Speechlessno One Saw It Coming 5087082 📰 Half Life 2 Update 1274980 📰 Bark Phone 7354259 📰 Unlock The Ultimate Gb Advance Gaming Experience These Games Are Unmissable 2614767 📰 What Is A Student Loan The Basics No Student Should Miss 5876549 📰 Skip Laurel You Wont Believe What Happened Nextyoull Be Shocked 6549278 📰 Unblocked G Games The Secret Levels Hidden From Everyone Again 5617134 📰 Wait Whats The Hub And Spoke Modelexactly How It Revolutionizes Supply Chains 399092 📰 Florence Nightingale Syndrome 504801