#### 51.92

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• A fault line shows increased seismic activity, with energy release jumping from 5.2 × 10¹⁶ joules to 7.9 × 10¹⁶ joules over a week. What is the percentage increase in energy release?
• Increase = 7.9 × 10¹⁶ - 5.2 × 10¹⁶ = <<7.9e16-5.2e16=2.7e16>>2.7 × 10¹⁶ J
• Percentage increase = (2.7 × 10¹⁶ / 5.2 × 10¹⁶) × 100 = (2.7 / 5.2) × 100 ≈ <<2.7/5.2*100=51.92307692307693>>51.92%
• The AI system reduces false alarms by 35% compared to the previous version. If the old system issued 400 false alarms per year, how many does the new system issue?
• Reduction = 35% of 400 = 0.35 × 400 = <<0.35*400=140>>140
• New false alarm count = 400 - 140 = <<400-140=260>>260

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