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Home » Frequency of Rr = 1/2 - Get link 4share

Frequency of Rr = 1/2 - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 An ornithologist tags 40 migratory birds. After analyzing GPS data, 70% travel south, 65% fly over the Gulf, and 50% do both. How many birds neither flew south nor crossed the Gulf?

📌 Birds flying south: \( 0.70 \times 40 = 28 \)

📌 Birds flying over Gulf: \( 0.65 \times 40 = 26 \)

📌 Birds doing both: \( 0.50 \times 40 = 20 \)

📌 Birds doing either: \( 28 + 26 - 20 = 34 \)

📌 Birds doing neither: \( 40 - 34 = 6 \)

📌 A volcanologist monitors three seismic sensors near a volcano. Sensor A detects activity 80% of the time, Sensor B 70%, and Sensor C 60%. All three detect simultaneously in 30% of active periods. Assuming independence for estimation, what percentage of active periods do exactly two sensors detect the activity?

📌 Let total active period be 1000 units.

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$ 7 \cdot 1 = 7
$ 7 \cdot 2 = 14 \equiv 1 \pmod{13} $
So $ 7^{-1} \equiv 2 \pmod{13} $
k \equiv 2 \pmod{13} \Rightarrow k = 13m + 2
Then $ L = 7k = 7(13m + 2) = 91m + 14 $
For $ m = 0 $, $ L = 14 $ (two-digit)
Check: Is 14 $ \equiv 1 \pmod{13} $?
$ 14 \div 13 = 1 $ remainder 1 â yes.
And 14 is a multiple of 7 â valid.
Is there a smaller two-digit value? Next smaller would be $ m = -1 $:...

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