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Home » p'''(x) = 24x - 24 - High Altitude Science

p'''(x) = 24x - 24 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 But wait — 144/256 simplifies by dividing numerator and denominator by 16: 144 ÷ 16 = 9, 256 ÷ 16 = 16, so $ \frac{9}{16} $. But 9 and 16 coprime — yes.

📌 But earlier I said $ \frac{144}{256} = \frac{9}{16} $, but $ \frac{9}{16} = 0.5625 $, and $144/256 = 0.5625$, correct.

📌 But let's compute GCD(144,256):

📌 = 16×9 = 2^4 × 3^2

📌 So GCD = 2^4 = 16

📌 So $ \frac{144}{256} = \frac{144 \div 16}{256 \div 16} = \frac{9}{16} $ — correct.

📌 But wait — 144 ÷ 16 = 9? 16×9=144, yes. 256÷16=16, yes.

📌 So the probability is $ \frac{9}{16} $.

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