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📰 Solution: The LCM of 11 and 13 is $143$. The smallest three-digit multiple of 143 is $143 \times 1 = 143$ (since $143 \times 2 = 286$ is also three-digit, but 143 is smaller). Thus, the answer is $\boxed{143}$.Question: Two marine biologists, Dr. Coral and Dr. Tide, arrive at a research station at random times between 7:00 and 8:00. If Dr. Coral arrives after Dr. Tide, what is the probability that Dr. Tide arrived before 7:45? 📰 Solution: Let the arrival times of Dr. Tide and Dr. Coral be $ x $ and $ y $, respectively, where $ x, y \in [0, 60] $ minutes after 7:00. The condition $ y > x $ defines a triangular region in the $ xy $-plane with area $ \frac{60^2}{2} = 1800 $. The favorable region is where $ x < 45 $ and $ y > x $. Integrating over $ x \in [0, 45] $, the area is $ \int_{0}^{45} (60 - x) \, dx = 60 \cdot 45 - \frac{45^2}{2} = 2700 - 1012.5 = 1687.5 $. The conditional probability is $ \frac{1687.5}{1800} = \frac{3}{4} $. 📰 \boxed{\dfrac{3}{4}} 📰 5 Deployment Server Secrets That Will Make Your Workflow Shock Sans 7355518 📰 Best Cable Services 9657714 📰 Why Everyones Talking About Fidelity Sarasota Top Rated Homes You Cant Miss 3888945 📰 Shrimp Nutritional Value 9281044 📰 Bay Area Craigslist Treasures That Could Save You Hundreds In Hidden Deals 9003410 📰 Maximilian Studios 2829249 📰 Approach Different Word 6256813 📰 Unlock Hidden Gems Free The Flash Games That Everyones Rushing To Play 3014415 📰 How To Check Which Chrome Extensions Is Taking Up Memory 4623637 📰 From Zero To Hero How This Milanesa De Pollo Became A Viral Sensation 7768148 📰 Teslas Steam Blaster Down Internal Profit Plunge Shakes The Ev Giant 714507 📰 This Japanese Keyboard For Windows Will Change How You Type Forevertry It Before Its Gone 9786886 📰 Inside Netease Games Biggest Breakthrough Yet Are You Ready To Play 2010953 📰 Reverse Risk 6665076 📰 You Wont Bargain For This Canoo Inc Pulls A Bold Surprise With Its Latest Vehicle Launch 1414077