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📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A robotics engineer is programming a robot to deliver medicine. The robot travels at a speed of 4 meters per second and must deliver to a room 60 meters away. If the robot stops for 2 minutes at a charging station halfway, how long does the entire trip take?

📌 Halfway distance = 60 / 2 = 30 meters

📌 Travel time one way = 30 / 4 = 7.5 seconds

📌 Travel time for full trip without stop = 2 × 7.5 = 15 seconds

📌 Charging stop = 2 minutes = 120 seconds

📌 Total time = 15 + 120 = <<15+120=135>>135 seconds

📌 A paleobotanist discovers a fossilized tree that grew in a region with seasonal rainfall patterns. If the tree grew 0.5 cm per month during wet months (7 months per year) and 0.1 cm per month during dry months, how much did it grow over 20 years?

📌 Wet month growth per year = 0.5 × 7 = 3.5 cm

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Thus, our count is correct.
Hence, the probability is:
But wait: $144 \div 16 = 9$, $256 \div 16 = 16$, yes: $\frac{144}{256}...
Wait: $144 / 16 = 9$, $256 / 16 = 16$, so yes, $\frac{144}{256} = \fra...
$144 = 16 \times 9$, $256 = 16 \times 16$, yes — so $\frac{144}{256} =...
But wait: $\frac{9}{16} = 0.5625$, but let’s verify total favorable:
Choose repeating word: 4 choices
Choose 2 other distinct words from remaining 3: $\binom{3}{2} = 3$
Number of distinct permutations of {A,A,B,C}: $ \frac{4!}{2!} = 12 $
Total: $4 \times 3 \times 12 = 144$ — correct.

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