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Category: Probability and Statistics

Essaie-de-corriger-sur-la-trigos-Exercice-2-1-Montrons-que-x-R-cos-6-x-sin-6-x-1-8-5-3cos4x-Soit-x-R-On-a-cos

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Question Number 227238 by as_ last updated on 09/Jan/26 $$ \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boldsymbol{\mathrm{Essaie}}\:\boldsymbol{\mathrm{de}}\:\boldsymbol{\mathrm{corriger}}\:\boldsymbol{\mathrm{sur}}\:\boldsymbol{\mathrm{la}}\:\boldsymbol{\mathrm{trigos}}}\:\:\:\:\:\:\:\:\:\: \\ $$$$\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\boldsymbol{\mathrm{Exercice}}}\:\mathrm{2}\:: \\ $$$$\:\:\:\mathrm{1}-\underline{\mathrm{Montrons}\:\mathrm{que}}\::\:\forall\mathrm{x}\in\mathbb{R},\:\mathrm{cos}^{\mathrm{6}} \mathrm{x}+\mathrm{sin}^{\mathrm{6}} \mathrm{x}=\frac{\mathrm{1}}{\mathrm{8}}\left(\mathrm{5}+\mathrm{3cos4x}\right)\:\:\:\:\: \\ $$$$\:\:\mathrm{Soit}\:\mathrm{x}\in\mathbb{R},\:\:\mathrm{On}\:\mathrm{a}\::\: \\…

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A-farmer-produces-seeds-in-packets-for-sale-The-probability-that-a-seed-selected-at-random-will-grow-is-0-8-If-there-are-20-seeds-what-is-the-probability-that-less-than-2-will-not-grow-

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Question Number 225568 by necx122 last updated on 03/Nov/25 $${A}\:{farmer}\:{produces}\:{seeds}\:{in}\:{packets} \\ $$$${for}\:{sale}.\:{The}\:{probability}\:{that}\:{a}\:{seed} \\ $$$${selected}\:{at}\:{random}\:{will}\:{grow}\:{is}\:\mathrm{0}.\mathrm{8}. \\ $$$${If}\:{there}\:{are}\:\mathrm{20}\:{seeds},\:{what}\:{is}\:{the} \\ $$$${probability}\:{that}\:{less}\:{than}\:\mathrm{2}\:{will}\:{not} \\ $$$${grow}? \\ $$ Commented by necx122…

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