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Home » Wir müssen die Tiefe \( d \) finden. - Dachbleche24

Wir müssen die Tiefe \( d \) finden. - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Final count: 500 × 2⁴ = 500 × 16 = 8,000.

📌 A software developer's app crashes 2 times per day on average. What is the probability it crashes exactly once in a 3-day week?

📌 Use Poisson distribution: λ = 2 × 3 = 6.

📌 P(X=1) = (e⁻⁶ × 6¹) / 1! ≈ (0.002478 × 6) / 1 ≈ 0.01487.

📌 But for exactness, use binomial: If daily crash rate is 2, then over 3 days λ = 6.

📌 P(X=1) = C(6,1) × (2/3)¹ × (1/3)⁵ → but this is not matching.

📌 Better: Let’s define daily crash rate λ = 2 per day. Over 3 days, λ_total = 6.

📌 P(X=1) = (e⁻⁶ × 6¹) / 1! ≈ 0.0149.

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Convert meters to kilometers: 3,700 ÷ 1,000 = <<3700/1000=3.7>>3.7 km.
A cartographer is analyzing satellite imagery with a resolution of 0.5...
Each pixel represents 0.5 meters, so width = 3,200 × 0.5 = <<3200*0.5=...
Height = 4,800 × 0.5 = <<4800*0.5=2400>>2,400 meters.
Area = 1,600 × 2,400 = <<1600*2400=3840000>>3,840,000 square meters.
Convert to square kilometers: 3,840,000 ÷ 1,000,000 = <<3840000/100000...
A cartographer is calculating the gradient of a mountain trail that ri...
Elevation gain = 2,150 − 850 = <<2150-850=1300>>1,300 meters.
Horizontal distance = 12.5 km = 12,500 meters.
Percent grade = (rise ÷ run) × 100 = (1,300 ÷ 12,500) × 100 = <<1300/1...

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