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Home » Solution: The volume of a hemisphere is $ V_\texthemisphere = \frac23 \pi r^3 $. - jntua results

Solution: The volume of a hemisphere is $ V_\texthemisphere = \frac23 \pi r^3 $. - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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\frac{10}{35} = \frac{2}{7}
Hence, the probability is $ \boxed{\frac{2}{7}} $.
Question: A data scientist trains a model using sequences of 5 binary...
This is a binomial probability with $ n = 5 $, $ k = 3 $, and success...
P(X = 3) = \binom{5}{3} \left(\frac{1}{3}\right)^3 \left(\frac{2}{3}\r...
Thus, the probability is $ \boxed{\frac{40}{243}} $.
Question: In a biotech lab simulation, 4 identical red enzymes, 3 iden...
Total number of enzymes: $ 4 + 3 + 2 = 9 $.
We are arranging 9 objects where there are repeated types:
\text{Number of distinct sequences} = \frac{9!}{4! \, 3! \, 2!}

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