Question Number 42331 by AR Akash last updated on 23/Aug/18 Answered by $@ty@m last updated on 23/Aug/18 $$\because{PQ}={QR}={RS} \\ $$$$\&\:{OP}={OQ}={OR}={OS} \\ $$$$\therefore\:\bigtriangleup\:{OPQ}\cong\bigtriangleup{OQR}\cong\bigtriangleup{ORS}\:\:{by}\:{SSS} \\ $$$$\therefore\angle{PQO}=\angle{OQR}=\mathrm{70}^{{o}} \\…
Question Number 42330 by Rio Michael last updated on 23/Aug/18 $${A}\:{linear}\:{function}\:{f}\left({x}\right)={ax}\:+\:{b}\:{transforms}\:{X}=\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{5},\mathrm{9},\mathrm{11}\right\} \\ $$$${into}\:{Y},{so}\:{that}\:{f}\left(\mathrm{5}\right)=\mathrm{13}\:{and}\:{f}\left(\mathrm{1}\right)=\mathrm{5} \\ $$$${Calculate}\:{the}\:{mean}\:{and}\:{Variance}\:{of}\:{X}\:{and}\:{Y}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 42299 by Rio Michael last updated on 22/Aug/18 $${The}\:{set}\:{X}\:{and}\:{Y}\:{have}\:{five}\:{elementseach}\:. \\ $$$${Given}\:{that}\:\Sigma{X}=\mathrm{25},\Sigma{Y}=\mathrm{55},\Sigma{X}^{\mathrm{2}} =\mathrm{165}\:{and}\:\Sigma{Y}^{\mathrm{2}} =\mathrm{765} \\ $$$${and}\:{a}\:{linear}\:{Function}\:{y}=\:{px}\:+\:{q}\:\:{tranforms}\:{the}\:{set}\:{X}\:{into}\:{the}\:{set}\: \\ $$$${Y},{where}\:{p}\:{and}\:{q}\:{are}\:{positive}\:{constants}. \\ $$$$\left.{a}\right)\:{Find}\:{the}\:{mean}\:{and}\:{Variance}\:{of}\:{X}\:{and}\:{Y} \\ $$$${hence},{or}\:{otherwise}\:, \\ $$$$\left.{b}\right){find}\:{the}\:{values}\:{of}\:{p}\:{and}\:{q}.…
Question Number 42287 by darwin last updated on 22/Aug/18 $${Your}\:{family}\:{will}\:{be}\:{attending}\:{a}\: \\ $$$${family}\:{reunion}\:{at}\:{a}\:{particular}\:{beach} \\ $$$${resort}.\:{To}\:{avoid}\:{hassle},\:{you}\:{consider} \\ $$$${renting}\:{a}\:{car}\:{that}\:{charges}\:{a}\:{flat}\:{rate} \\ $$$${of}\:{P}\mathrm{2}\:\mathrm{000}\:{plus}\:{P}\mathrm{150}\:{per}\:{kilometer}.\: \\ $$$${Write}\:{a}\:{piecewise}\:{function}\:{that}\: \\ $$$${model}\:{the}\:{situation}. \\ $$ Answered…
Question Number 42264 by darwin last updated on 21/Aug/18 $${Thd}\:{local}\:{barangay}\:{recieved}\:{a}\:{budget}\:{of}\:\mathrm{150000}\:{to}\:{provide}\:{medical}\:{check}−{ups}\:{for}\:{the}\:{children}\:{in}\:{the}\:{barangay}.\:{Write}\:{an}\:{equation}\:{representing}\:{the}\:{relationship}\:{of}\:{the}\:{alloted}\:{money}\:{per}\:{child}. \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 21/Aug/18 $${B}={A}+{np} \\ $$$${B}={alloted}\:{budget} \\ $$$${A}={part}\:{of}\:{budget}\:{expended}\:{to}\:{fullfil}\:{project} \\…
Question Number 107783 by Dwaipayan Shikari last updated on 12/Aug/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}\mathrm{2}^{{n}} } \\ $$ Commented by Dwaipayan Shikari last updated on 12/Aug/20 $$\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}^{\mathrm{1}}…
Question Number 42224 by 33 last updated on 20/Aug/18 $${a}\:+\:{b}\:+\:{c}\:=\:\mathrm{180}\: \\ $$$${a},{b},{c}\:\in\:\mathbb{N} \\ $$$${number}\:{of}\:{triplets}\:{possible} \\ $$$$\left({a},{b},{c}\right)\:{for}\:{the}\:{above} \\ $$$${equation}\:{are}\:? \\ $$$$\left(\:{the}\:{order}\:{of}\:{a},{b},{c}\:\:{doesn}'{t}\right. \\ $$$$\left.{matter}\right) \\ $$ Commented…
Question Number 42207 by Rio Michael last updated on 20/Aug/18 $${Find}\:{the}\:{equation}\:{of}\:{tangent}\:{and}\:{normal}\:{to}\:\:{the}\:{curve}\:{y} \\ $$$${given}\:{by}\:\:\:{y}\:=\:{x}^{\mathrm{3}} \:+\:\mathrm{3}{x}^{\mathrm{2}} \:+\:\mathrm{7}\:. \\ $$ Answered by MJS last updated on 20/Aug/18 $${f}\left({x}\right)={x}^{\mathrm{3}}…
Question Number 107741 by 175mohamed last updated on 12/Aug/20 Commented by ZiYangLee last updated on 12/Aug/20 $$\mathrm{x}_{\mathrm{n}} =\left(\mathrm{a}^{\mathrm{2}} \right)^{\mathrm{1}−\mathrm{2}^{????} } \\ $$ Commented by 175mohamed…
Question Number 173245 by pete last updated on 08/Jul/22 $$\mathrm{The}\:\mathrm{ends}\:\boldsymbol{\mathrm{X}}\:\mathrm{and}\:\boldsymbol{\mathrm{Y}}\:\mathrm{of}\:\mathrm{an}\:\mathrm{inextensible}\:\mathrm{strings}\:\mathrm{27m} \\ $$$$\mathrm{long}\:\mathrm{are}\:\mathrm{fixed}\:\mathrm{at}\:\mathrm{two}\:\mathrm{points}\:\mathrm{on}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{horizontal}\:\mathrm{line}\:\mathrm{which}\:\mathrm{are}\:\mathrm{20}\:\mathrm{m}\:\mathrm{apart}. \\ $$$$\mathrm{A}\:\mathrm{particle}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{7}.\mathrm{5}\:\mathrm{kg}\:\mathrm{is}\:\mathrm{suspended} \\ $$$$\mathrm{from}\:\mathrm{a}\:\mathrm{point}\:\boldsymbol{\mathrm{P}}\:\mathrm{on}\:\mathrm{the}\:\mathrm{string}\:\mathrm{12}\:\mathrm{m}\:\mathrm{from}\:\boldsymbol{\mathrm{X}}. \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Illustrate}\:\mathrm{this}\:\mathrm{information}\:\mathrm{in}\:\mathrm{a}\:\mathrm{diagram}. \\ $$$$\left(\mathrm{b}\right)\:\mathrm{calculate},\:\mathrm{correct}\:\mathrm{to}\:\boldsymbol{\mathrm{two}}\:\mathrm{decimal} \\ $$$$\mathrm{places},\:<\mathrm{YXP}\:\mathrm{and}\:<\mathrm{XYP}. \\…