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英数第二周周三1.MandNareintegerswithMN.Thenumberofintegersbetween(butnotincluding)MandN,is:2.IfNisanaturalnumberthenwedefineN!tobetheproductN*(N-1)*(N-2)*…*2*1.Forexample4!=4*3*2*1=24.If6!=a!*b!Wherea1andb1,thena+bis?3.DeterminethesmallestpositivevalueoftheintegerKsuchthatK³+2K²isthesquareofanoddinteger:4.Acyclistnoticesthatheraveragespeedwhenshehascoveredexactlyhalfthetotaldistanceofherraceis30km/h.Whatshouldheraveragespeedoverthesecondhalfoftheracebeifshewantstofinishtheracewithanaveragespeedof40km/h?5.Howmanytwo-digitnumbersareexactlyseventimesthesunoftheirdigits?6.Waterispouredfromafull1.5Lbottleintoanemptyglassuntilboththeglassandthebottleare¾full.Whatisthevolumeoftheglass?7.LetXbethethree-digitnumberwithdigitsABCandYbethethree-digitnumberwithdigitsCBA.ThedigitsAandCarenot0.IfX-Y=495,howmanypossibilitiesarethereforX？8.Thescoresofeightstudentsonaquizare6,7,7,8,8,8,9and10.Whichscoreshouldberemovedtoleavesevenscoreswiththesamemodeandrangeastheoriginaleightscores,butwithahigheraverage(mean)?9.P,QandRarepositivenumbersforwhich1/P+1/Q+1/R=1andPQ=SthenP+Qequals10.Carminahasahotalof$3.60innickelsanddimes.Ifherdimeswerenickelsandhernickelsweredimes,thenshewouldhave$5.40.HowmanynickelsanddimesdoesCarminahave?