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\( 6 \times 5 = 30 \) cm
Seismologist Using AI for Earthquake Warnings:
A seismologist’s AI model reduces false alarms by 35% compared to traditional systems, which report 20 false alarms per year. If the model also decreases true earthquake detection time by 40%, and the original detection time was 12 seconds, calculate the new average detection time in milliseconds.
Original alarms: 20 per year
False alarm reduction: 35%
New false alarms: \( 20 \times (1 - 0.35) = 13 \), but not needed for detection time
Detection time reduced by 40%:
\( 12 \times (1 - 0.40) = 12 \times 0.60 = 7.2 \) seconds
Convert to milliseconds:
\( 7.2 \times 1000 = 7200 \) ms