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Home » n \equiv 1 \pmod7 \quad \textand \quad n \equiv 1 \pmod11 - Get link 4share

n \equiv 1 \pmod7 \quad \textand \quad n \equiv 1 \pmod11 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The quantum physics instructor explained that a quantum state has a 1/3 probability of being measured in state A, 1/4 in state B, and the rest in state C. What is the probability of measuring the system in state C?

📌 Probability of C = 1 - (1/3 + 1/4) = 1 - (4/12 + 3/12) = 1 - 7/12 = <<1-7/12=5/12>>5/12

📌 The Mars researcher analyzed 4 rock samples and found microbial DNA in 3 of them. If she randomly selects 2 samples for further sequencing, what is the probability both contain microbial DNA?

📌 Number of favorable pairs = C(3,2) = 3

📌 Total pairs = C(4,2) = 6

📌 Probability = 3/6 = <<3/6=0.5>>0.5

📌 The geographer used GIS to map a coastal zone and found that 65% of a 1200 km² region is vulnerable to erosion. Of that vulnerable area, 40% is densely populated. How many square kilometers of densely populated land are at risk?

📌 Vulnerable area = 1200 × 0.65 = <<1200*0.65=780>>780 km²

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