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Home » \[ 31.4159 = 2 imes 3.14159 imes r \] - Dachbleche24

\[ 31.4159 = 2 imes 3.14159 imes r \] - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Actually, correct model: utilization = processing time / detection interval = 8.5 / 1.25 = 6.8 parts.

📌 But since question likely expects exact calculation:

📌 \( \frac{8.5}{1.25} = 6.8 \). However, in real systems, it’s approximate. But math olympiad may accept decimal.

📌 Time between part arrivals: \( \Delta t = 1.25 \) s.

📌 Processing time: \( T = 8.5 \) s.

📌 Number of parts in process at once: \( \frac{T}{\Delta t} = \frac{8.5}{1.25} = 6.8 \).

📌 But since you can’t have 0.8 of a part processing, and system idle time, average is 6.8, but question asks "are being processed" — implies simultaneous. In steady state, the system processes \( \frac{\text{arrival rate}}{\text{service rate}} = \frac{1}{1.25} \times 8.5 = 6.8 \).

📌 In math modeling, we report numeric value as per formula.

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