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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}} 📰 Negative Predictive Value 7515329 📰 Love Sushi The Hidden Reasons Why Every Slice Feels Like A Heartfelt Hug 9469635 📰 Finally California Examen De Manejo Tips That Could Save You Weeks Of Study 5212336 📰 Siri Xm Stock 📰 Spypoint Login Leaked Heres What You Need To Do Now 6871293 📰 This Simple Creme De Menthe Changed My Recipes Forever Watch Now 2190348 📰 They Said Happy Times Now Retail Closings Rock The Market Like Never Before You Wont Look Away 8403894 📰 Ftp Manager For Mac 📰 Lookup Table Excel 📰 Star Wars Jedi Knight Jedi Academy Steam 📰 Exchange Currency Near Me 📰 Holding A Gun 583775 📰 Updating Quicktime 📰 Shocked How Coreweaves Ipo Exploded On Redditis This The Next Big Thing 8635803 📰 Steam Rewind