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Home » Earth’s Mightiest Heroes: Epic Stories of Heroes Saving Our Planet Forever! - Crankk.io

Earth’s Mightiest Heroes: Epic Stories of Heroes Saving Our Planet Forever! - Crankk.io

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Question: An AI-driven agricultural system monitors 6 crop fields, each with a 20% chance of requiring immediate irrigation. What is the probability that exactly 2 fields require irrigation?

📌 Solution: Using the binomial formula:

📌 \binom{6}{2} (0.20)^2 (0.80)^4 = 15 \cdot 0.04 \cdot 0.4096 = 0.24576

📌 The probability is $\boxed{0.2458}$.Question: What is the remainder when the sum of the first 5 terms of the sequence $ a_n = 3n + 2 $ is divided by 7?

📌 Solution: The first 5 terms are $ a_1 = 5 $, $ a_2 = 8 $, $ a_3 = 11 $, $ a_4 = 14 $, and $ a_5 = 17 $. Their sum is $ 5 + 8 + 11 + 14 + 17 = 55 $. Dividing 55 by 7 gives a quotient of 7 and a remainder of $ 55 - 7 \times 7 = 55 - 49 = 6 $.

📌 Question: What is the least common multiple of the number of eggs laid by three different snake species, which are 12, 18, and 30?

📌 Solution: Factorize each number: $ 12 = 2^2 \times 3 $, $ 18 = 2 \times 3^2 $, and $ 30 = 2 \times 3 \times 5 $. The LCM is the product of the highest powers of all primes: $ 2^2 \times 3^2 \times 5 = 4 \times 9 \times 5 = 180 $.

📌 \boxed{180}

🔥 Popular Posts

So, \(a_{10} = 350 - 288 = 62\).
#### 621. A scientist has a solution containing 5 grams of salt dissol...
Initial salt = 5 grams, water = 95 grams, total initial solution = 5 +...
Added salt = 10 grams, added water = 15 grams, new salt = 5 + 10 = 15...
New total solution = 15 + 110 = 125 grams.
New concentration = (15 / 125) * 100 = 12%
A car travels 300 kilometers in 4 hours. If the car increases its spee...
Initial speed = 300 km / 4 hours = 75 km/h.
Increased speed = 75 km/h * 1.25 = 93.75 km/h.
Distance in next 2 hours = 93.75 km/h * 2 = 187.5 km.

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Problem lacks radius.
Revise:
Use pitch and assume unit radius? Not safe.
Alternative idea: perhaps "helicical path" with 4 turns in 2 m linear...
Change to:
A robotic arm welds a cylindrical pipe with 6 turns over 1.5 meters. I...
But radius not given.
Better: in standard problems, they assume pitch and compute total heli...
But to fix:
Assume radius r = 0.1 m (typical for small welds).

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