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Home » If the sum of the first \(n\) natural numbers is 210, find \(n\). - inBeat

If the sum of the first \(n\) natural numbers is 210, find \(n\). - inBeat

📅 May 4, 2026 👤 scraface

May 04, 2026

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Second integral:
\int_{0.8}^1 30 \cdot \frac{(1 - u)^5}{5} du = 6 \int_{0.8}^1 (1 - u)^...
Let $ w = 1 - u $, $ dw = -du $, limits $ w = 0.2 $ to $ 0 $:
\int_0^{0.2} w^5 dw = 6 \cdot \frac{w^6}{6} \Big|_0^{0.2} = (0.2)^6 =...
Total: $ \frac{1}{15625} + \frac{1}{15625} = \frac{2}{15625} $
Thus, the probability that all 6 vehicles arrive within some 2-minute...
\boxed{\frac{2}{15625}}
Question: A programmer is testing a neural network that generates bina...
Solution: We want the probability that a binary string of length 8 has...
First, compute the number of binary strings of length 8 with exactly 3...

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