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Author: Tinku Tara

A-triangle-is-divided-into-four-triangles-and-three-quadrilaterals-by-three-straight-line-segments-for-figure-see-comment-below-The-sum-of-the-perimeters-of-the-three-quadri-laterals-is-25-cm-

Question Number 10006 by RasheedSoomro last updated on 20/Jan/17 $$\mathrm{A}\:\mathrm{triangle}\:\mathrm{is}\:\mathrm{divided}\:\mathrm{into}\:\mathrm{four}\:\mathrm{triangles} \\ $$$$\mathrm{and}\:\mathrm{three}\:\mathrm{quadrilaterals}\:\mathrm{by}\:\mathrm{three}\:\mathrm{straight} \\ $$$$\mathrm{line}\:\mathrm{segments}\left(\mathrm{for}\:\mathrm{figure}\:\mathrm{see}\:\mathrm{comment}\:\mathrm{below}\right). \\ $$$$ \\ $$$$\:^{\bullet} \mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{perimeters}\:\mathrm{of}\:\mathrm{the}\:\mathrm{three}\:\mathrm{quadri}- \\ $$$$\mathrm{laterals}\:\mathrm{is}\:\mathrm{25}\:\mathrm{cm}. \\ $$$$\:^{\bullet} \mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{perimeters}\:\mathrm{of}\:\mathrm{the}\:\mathrm{four}\:\mathrm{triangles} \\…

x-1-16-1-x-1-8-1-x-1-4-1-x-1-2-1-

Question Number 10005 by konen last updated on 20/Jan/17 $$\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{16}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{8}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{4}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{2}}} +\mathrm{1}\right)=? \\ $$ Answered by mrW1 last updated on 21/Jan/17 $${P}=\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{16}}} +\mathrm{1}\right)\left(\mathrm{x}^{\frac{\mathrm{1}}{\mathrm{8}}}…

An-analyst-was-hired-to-survey-20-students-He-reported-that-6-eat-eba-5-eat-amala-and-7-eat-semovita-9-eat-eba-or-amala-12-amala-or-semovita-and-9-eba-or-semovita-3-eat-all-the-three-food-and-10-

Question Number 10000 by Tawakalitu ayo mi last updated on 20/Jan/17 $$\mathrm{An}\:\mathrm{analyst}\:\mathrm{was}\:\mathrm{hired}\:\mathrm{to}\:\mathrm{survey}\:\mathrm{20}\:\mathrm{students}. \\ $$$$\mathrm{He}\:\mathrm{reported}\:\mathrm{that}\:\mathrm{6}\:\mathrm{eat}\:\mathrm{eba},\:\mathrm{5}\:\mathrm{eat}\:\mathrm{amala}\:\mathrm{and} \\ $$$$\mathrm{7}\:\mathrm{eat}\:\mathrm{semovita}.\:\mathrm{9}\:\mathrm{eat}\:\mathrm{eba}\:\mathrm{or}\:\mathrm{amala},\:\mathrm{12}\:\mathrm{amala} \\ $$$$\mathrm{or}\:\mathrm{semovita}\:\mathrm{and}\:\mathrm{9}\:\mathrm{eba}\:\mathrm{or}\:\mathrm{semovita}.\:\mathrm{3}\:\mathrm{eat}\:\mathrm{all} \\ $$$$\mathrm{the}\:\mathrm{three}\:\mathrm{food}\:\mathrm{and}\:\mathrm{10}\:\mathrm{eat}\:\mathrm{none}.\:\mathrm{After}\:\mathrm{a}\:\mathrm{careful} \\ $$$$\mathrm{analysis}\:\mathrm{of}\:\mathrm{these}\:\mathrm{findings},\:\mathrm{the}\:\mathrm{analyst}\:\mathrm{was}\:\mathrm{fired}. \\ $$$$\mathrm{why}\:??? \\…

Suppose-that-X-and-Y-have-a-discrete-joint-distribution-for-which-the-joint-p-f-is-defined-as-follows-f-x-y-c-x-y-for-x-2-1-0-1-2-and-y-2-1-0-1-2-0-other-wise-Determine-a

Question Number 75524 by mhmd last updated on 12/Dec/19 $${Suppose}\:{that}\:{X}\:{and}\:{Y}\:{have}\:{a}\:{discrete}\:{joint}\:{distribution}\:{for}\:{which}\:{the}\:{joint}\:{p}.{f}\:\:{is}\:{defined}\:{as}\:{follows}\: \\ $$$${f}\left({x},{y}\right)=\left\{\:{c}\mid{x}+{y}\mid\:{for}\:{x}=−\mathrm{2},−\mathrm{1},\mathrm{0},\mathrm{1},\mathrm{2}\:{and}\:{y}=−\mathrm{2},−\mathrm{1},\mathrm{0},\mathrm{1},\mathrm{2}\right. \\ $$$$\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{other}\:{wise} \\ $$$${Determine}\:\left({a}\right)\:{the}\:{value}\:{of}\:{the}\:{constant}\:{of}\:{c} \\ $$$$\left({b}\right)\:{pr}\left({X}=\mathrm{0}\:{and}\:{Y}=−\mathrm{2}\right) \\ $$$$\left({e}\right)\:{pr}\left({X}=\mathrm{1}\right) \\ $$$$\left({d}\right)\:{pr}\left(\mid{x}−{y}\mid\leqslant\mathrm{1}\right) \\ $$$${pleas}\:{sir}\:{help}\:{me} \\…

x-1-x-3-x-3-4x-2-2x-3-

Question Number 9989 by konen last updated on 20/Jan/17 $$\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}=\mathrm{3}\:\Rightarrow\mathrm{x}^{\mathrm{3}} −\mathrm{4x}^{\mathrm{2}} +\mathrm{2x}−\mathrm{3}=? \\ $$ Answered by mrW1 last updated on 20/Jan/17 $$\mathrm{x}−\frac{\mathrm{1}}{\mathrm{x}}=\mathrm{3} \\ $$$$\Rightarrow{x}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{1}=\mathrm{0}…

a-b-Z-a-3-b-3-19-a-b-

Question Number 9988 by konen last updated on 20/Jan/17 $$\mathrm{a},\mathrm{b}\in\mathrm{Z}^{+} \\ $$$$\mathrm{a}^{\mathrm{3}} −\mathrm{b}^{\mathrm{3}} =\mathrm{19}\:\:\:\Rightarrow\:\mathrm{a}.\mathrm{b}=? \\ $$ Answered by mrW1 last updated on 20/Jan/17 $${since}\:\mathrm{4}^{\mathrm{3}} −\mathrm{3}^{\mathrm{3}}…