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Home » Substitute \(n = 10\) into the formula: \(a_10 = 2(10) + 3 = 20 + 3 = 23\). - Veritas Home Health

Substitute \(n = 10\) into the formula: \(a_10 = 2(10) + 3 = 20 + 3 = 23\). - Veritas Home Health

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 #### \( v pprox 76.857 \) km/h

📌 Dans un ensemble de donnÃ©es, la moyenne \( \mu \) est de 50 et l'Ã©cart type \( \sigma \) est de 10. Si chaque point de donnÃ©es est augmentÃ© de 5 puis multipliÃ© par 2, quelle est la nouvelle moyenne et l'Ã©cart type ?

📌 Transformation : \( x' = 2(x + 5) = 2x + 10 \).

📌 Nouvelle moyenne : \( \mu' = 2\mu + 10 = 2 imes 50 + 10 = 110 \).

📌 Nouvelle variance : \( \sigma'^2 = 2^2 \sigma^2 = 4 imes 100 = 400 \).

📌 Nouvelle Ã©cart type : \( \sigma' = \sqrt{400} = 20 \).

📌 #### Nouvelle moyenne = 110, Nouveau Ã©cart type = 20

📌 Le bÃ©nÃ©fice \( P(x) \) d'une entreprise de fabrication de \( x \) unitÃ©s est modÃ©lisÃ© par \( P(x) = -2x^2 + 120x - 1000 \). Trouver le nombre d'unitÃ©s qui maximise le bÃ©nÃ©fice et le bÃ©nÃ©fice maximal.

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