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Home » \[ \frac90\pi2 = 45\pi \, \textminutes \] - Baxtercollege

\[ \frac90\pi2 = 45\pi \, \textminutes \] - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 So, \( 2^{x+1} = 2^4 \) implies \( x+1 = 4 \).

📌 Solving gives \( x = 3 \).

📌 Question:** The sum of the first \( n \) natural numbers is 210. Find \( n \).

📌 Solving \( n(n+1) = 420 \) gives \( n^2 + n - 420 = 0 \).

📌 Factoring: \( (n - 20)(n + 21) = 0 \).

📌 Question:** A box contains 3 red, 4 blue, and 5 green balls. If two balls are drawn at random, what is the probability that both are red?

📌 Total balls = 3 + 4 + 5 = 12.

📌 Probability of first red = \( \frac{3}{12} = \frac{1}{4} \).

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