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📰 Question: What is the smallest three-digit number divisible by 11 and 13? 📰 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} $. 📰 From Hidden Origins To Legend Statuswhat Mandark Dexter Didnt Want You To Know 8908583 📰 The Hottest Trend Of The Season Almost Every Celebrity Wears This Black Corset Dress 1743101 📰 Meaning Of Indivisibility 242881 📰 496 4251120 📰 Barstows Hidden Graves Explain Why The Towns Silent Underground Whispers Tales 8445059 📰 This Fiery Fox Manga Will Blow Your Mindyou Wont Believe The Plot Twist 231366 📰 Cdf Cdf 9362122 📰 You Wont Think Youve Seen This Minecraft Movietechnoblades Final Adventure Revealed 1537364 📰 Go From Zero To Hero Black Heels You Wont Want To Live Without Step Up Today 988096 📰 Mk Movie Cast Dropsthe Hidden Actors Set To Rock The Box Office 3638169 📰 Secrets Unlocked Experts Discuss Amds Game Changing Conversations Over Tech 1756436 📰 Enaction 3124884 📰 You Wont Believe What This Waffle Maker Can Cook Beneath The Cover 4718199 📰 Kfc Online Order 5035494 📰 Peacock Bundles 2343627