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Home » Solution: The volume of the hemisphere is: - High Altitude Science

Solution: The volume of the hemisphere is: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Exactly two detections = \( [P(A \cap B) + P(B \cap C) + P(A \cap C)]...
Assuming independence:
\( P(A \cap B) = 0.8 \times 0.7 = 0.56 \), \( P(B \cap C) = 0.7 \times...
Sum: \( 0.56 + 0.42 + 0.48 = 1.46 \)
Subtract overcount: \( 1.46 - 3 \times 0.3 = 1.46 - 0.9 = 0.56 \)
So 56% detect exactly two.
An entomologist uses DNA barcoding to identify pollinators. Out of 180...
Samples with apple only: \( 105 - 40 = 65 \)
Samples with cherry only: \( 95 - 40 = 55 \)
Total with only one: \( 65 + 55 = 120 \)

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