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Home » $ P(10) = \frac1000{1 + 9e^-2} $ - Get link 4share

$ P(10) = \frac1000{1 + 9e^-2} $ - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 #### 81.58

📌 A pharmacologist designs a drug cocktail where Drug A has a half-life of 4 hours and Drug B has a half-life of 9 hours. A patient receives both simultaneously at 8:00 AM with initial doses of 200 mg and 300 mg respectively. How much of Drug A remains at 5:00 PM the same day?

📌 Time elapsed: 5:00 PM - 8:00 AM = 9 hours.

📌 Number of half-lives for Drug A: 9 / 4 = <<9/4=2.25>>2.25.

📌 Remaining = 200 × (1/2)^2.25 = 200 × (0.5)^2.25 ≈ 200 × 0.2107 = <<200*0.2107=42.14>>42.14 mg.

📌 #### 42.14

📌 A seismologist uses machine learning to classify 1,200 seismic events over a month. The algorithm correctly identifies 94% of earthquakes, incorrectly flagging 3% of non-seismic noise as quakes. If 15% of the events are actual earthquakes, how many false positives were recorded?

📌 Total events: 1,200.

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