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Home » R \cos\alpha = 1, \quad R \sin\alpha = \sqrt3 - Richter Guitar

R \cos\alpha = 1, \quad R \sin\alpha = \sqrt3 - Richter Guitar

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 #### 18.0A linguist analyzing historical texts uses a language model to compute semantic drift over time, measuring change in word usage frequency across 5 decades. The model assigns drift scores: 0.8, 1.2, 1.5, 0.9, and 1.6. What is the mean absolute deviation of these drift scores from the mean?

📌 First, compute the mean: (0.8 + 1.2 + 1.5 + 0.9 + 1.6) / 5 = 5.0 / 5 = <<5.0/5=1.0>>1.0

📌 Next, find absolute deviations: |0.8−1.0| = 0.2, |1.2−1.0| = 0.2, |1.5−1.0| = 0.5, |0.9−1.0| = 0.1, |1.6−1.0| = 0.6

📌 Sum of absolute deviations: 0.2 + 0.2 + 0.5 + 0.1 + 0.6 = <<0.2+0.2+0.5+0.1+0.6=1.6>>1.6

📌 Mean absolute deviation: 1.6 / 5 = <<1.6/5=0.32>>0.32

📌 A science journalist is verifying a claim that a new quantum computer solves a problem in 200 seconds that would take a classical supercomputer 8 million seconds. By what factor is the quantum computer faster, expressed in scientific notation?

📌 First, compute the ratio: 8,000,000 / 200 = <<8000000/200=40000>>40,000

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