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RAR@ RAR"@ RA RR?R S@R@ RAR? R@R R@R? S @NRBS$@ S  T A S ? S A S ? S A S  SA S$@ SAS@S@S$@T@S RAS SAS SAS SAS SA SS$@S T@S? SAS? S@S S@S$@ T @NSBT T  U A T ? T A T ? T A T  TA T TAT@T@T U@T SAT TAT TAT TAT TA TT"@T U@T TAT T@T T@T U @NTBU U  V A U  U A U  U A U  UA U UAU@U@UV@U TAU UAU UAU UAU UA UU @U V@U UAU U@U U@U V @NUBV V  W A V ? V A V ? V A V  VA V VAV@V@VW@V UAV@ VAV? VAV@ VAV VA VV@V W@V? VAV? V@V V@V@ W @NVBW W  X A W ? W A W ? W A W  WA W WAW@W@WX@W VAW? WAW? WAW@ WAW WA WW@W X@W? WAW? W@W W@W@ X @NWBX X  Y A X @ X A X ? X A X  XA X XAX@X@XY@X WAX@ XAX? XAX@ XAX XA XX@X Y@X? XAX? X@X X@X@ Y @NXBY Y  Z A Y @ Y A Y ? Y A Y  YA Y YAY@Y@YZ@Y XAY@ YAY? YAY@ YAY YA YY@Y Z@Y? YAY? Y@Y Y@Y@ Z @NYBZ Z  [ A Z @ Z A Z ? Z A Z  ZA Z ZAZ@Z@Z[@Z YAZ? ZAZ? ZAZ@ ZAZ ZA ZZ@Z [@Z ZAZ Z@Z Z@Z [ @NZB[ [  \ A [ ? [ A [ ? [ A [  [A [ [A[@[@[\@[ ZA[? [A[? 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"       @   ?        @ ?         ?   ?       ? ?         @   ?       @ ?                             @   ?       @ ?                             ?   ?       ? ?         ?   ?       ? ?     ?  ,"|4 j(  v  <A ?A@?<]J` \Rs] Equation.3Z~v  <A ?A@?"]J`܍ Rt] Equation.3 f~v  <M?0]@̎  '@M\\JUPITER\maths1_34_hp-2300C odXXLetter DINU"4$IUPHdLetter [none] [none]Arial4P d?HARRIS_D<Automatic>0    j i k k m m " dXX??3` ` ` п?3d23 M 4  3QQ ;Q ;Q3_ NM   d4E4D$% M 3O&Q4$% M 3O&Q4FA N3O3*@?" &!  43*4T@$@" &!  ! M4523  43d" 444 ee;@1@"@@@ "@ 1@e ~v   <M?!K] @  '@"??3` ` Y ` Y ` Pu@3d23 M 4 3QQ ;Q ; Q3_ M NM   (4E4 3QQ ;Q ;Q3_ M NM   (4E4 3QQ:Q:Q3_ M NM   d4E4 3QQ ;Q ;Q3_ M NM   <4E4 VV3QQ ;\Q ;\Q3_ M NM  N<4E4 aa3QQQQ3_  NM  MM<4JK4D$% M 3O& Q4$% M 3O& Q4FAi 3OM:L3*$$@?" &!  43*$$@?" &!  ! M4% > 3O{&Q &c (constant term)23 M 4'4% Ro  Z3O&Q ,b (coefficient of x)23 M 4'4523 M 43d" 3_ M NM  MM<4444e$$@$@$@@@$@$$$@$$@@$@  $@ @ $ $@ @ $ $@ @  $@ @  $@ @$$@@@$$@@$@@$$@@$@$$@@"@"@""@@"@@@""@@"@@""@?""@?" "  !!!""""@"#"##?$$"@$?%%"@%?&"&"@&'''(("@()")"@)** @*+ ++, , @,- --.. @.// @/0001 112 2 @233 @344 @455 @56 667 7 @78 8 @89 99: : @:;; @;< <<= = @=> > @>??@?@@@@AAABBBCC@CDDDEE@EFFFGG@GHH@HII@IJJJKKKLL@LMMMNN@NOO@OPP@PQQ@QRR@RSSSTTTUUUVV@WW@XX@YY@ZZ@[[@\\]]@^^@__@``@aa@bbccdd@ee@ffgg@hhii@jjkkllmm@nn@oo@pp@qqrr@ss@tt@uuvvww@xx@yyzz{{@||@}}@~~@?@@@@@@@@@@@@@@@@@@@????????e$$" @ @?@@"@ @@   @   @ ? ? $@  @ "@  @  @@@@@@@@@@ @ @@"@$@$@$@"@$ @"  @@@@@$@ @ ?  !!!"@"@"#@##@$$@$@%%@%?&@&@&$@'''(("@("@)$@)$@)**$*@+"++$@, , ,"@--- @...@///@000@111$@222333 @444@55?56@66@7@7@7@8@8@89@99$@:@:@:;;@;< @<<="@="@=>$@>$@>@??$?@@@"@A AABBB$@CCC"@DDD @EEE@FFFGGG@HHH@III@J?JJ@K@KK?L@L@L$@M@MMN@N@NO@O@O@P@P@P@QQ @Q@RR"@R@S$@SST TTUUU?VVWWXXYYZZ[[\\]?]?^^@_@_@`@`@a@a@b@bc@cdd @eeffgghhiijjkkl?lm@m@nn@oo@p@p@q@qrrssttuuv?vww@xx@yyzz{{|?|?}@}@~~$""   "  "$$$$" $$""$$""  e    S DA`C:\Documents and Settings\harris_d\My Documents\backup\easyPlanet\beta\images\planet circlenew.JPGyK yK 4http://www.planetqhe.com/":4visit planetqhe.com here!4} i]& `    R Ab@C:\WINDOWS\Desktop\PLANET\images\blurplanet1.JPGText 2<] @R\ <Press the F9 button to generate a new quadratic or hold down the F9 key on your keyboard to generate many trials. Press RESET to clear all data. Press Collect 20 for 20 new quadratics< <xx   6RCC@ ], @RR9 $ < Collect 20<: xx  6DRCC@%Z],@DR0R9 $<RESET<+~v  <M?P -]@N  '@"N??3` g ` %` %` g ` gK?3dJ$23 M 4 3QQ ;##Q ;$$Q3_ O   MM<43_ O   MM<43_ O   MM<4E4D$% M 3O&Q4$% M 3O&Q4FA 3O6 3 b" &43*?" &! 4523  43" 44% Vx <3O&Q 4experimental probability23 M 4'44ee? ?hh?e >@7 ;$ental probabilityM  two roots;$ental probabilityM no real roots ;$ental probabilityM one root '@  L  MbP?_*+%M\\JUPITER\maths1_34_hp-2300C odXXLetter DINU"4$IUPHdLetter [none] [none]Arial4P d?HARRIS_D<Automatic>0    j i k k m m " dXX??U      '  ( (  l  s *gR  @]`gR8Q 3<4What is the probability that the quadratic equation< 3~v  <A ?A@?p< ]J`n DR`z] Equation.3@xx  6CR  @i ` ]`CR? 0<has real roots? (Note that in the simulation only integer values are admitted for b and c. If you allow them to take real values, then you can use calculus to solve this one.)<0S TY Z   C AC:\Documents and Settings\harris_d\My Documents\backup\easyPlanet\beta\images\50cp copy.jpg K]&`@>@7yK  amazon.co.ukyK http://www.amazon.co.uk/exec/obidos/ASIN/0486653552/planetqhecom/202-4953046-9003852 Module1 #ThisWorkbook#Module2 Z__SRP_43xMEP<<<<< <<<800%`x@o recorded 20/02/2005 by harris_dpP&28 - l 2 @\ 0 @X -@T -3@D -2@4 -8@$ @ 1DH"Attribute VB_Name = "Module1" /U#xME     *! "3#$%&'()+=,-./0124:56789;<>(SLSS<N0{00020819-0000-0000-C000-000000000046}H(%H(81DxAttribute VB_Name = "ThisWorkbook" Bas0{00020P819-0C$0046} |GlobalSpacFalse dCreatablPredeclaIdTru BExposeTemplateDerivBustomizD2rU~| 0 8  0  fMErU $__SRP_57Module3:#Module4O __SRP_2z`$`n0P.xMEP<<<<< <<<80L0%`x@o recorded 20/02/2005 by harris_dsprpP"&2 "$x B@H@h 1] @X B@H(T $@D .@4 H@$ @ 1D"Attribute VB_Name = "Module3" ( :xMEP6 LL<08N0% `xk%Macro recorded 21/02/2005 by harris_dll\ 14hP"&2@F@l @\ @X @T @D @4 @$ @ 881D$*\Rffff*0<437bb8de*\R1*#229*\R1*#c4*\R1*#175*\R1*#63*\R1*#171*\R1*#b3"   ,0 ` h(p( !(!((S(( !@ $P(` x( ( # !(8op reset Macro& Macro recorded 21/02/2005 by harris_d L:L,S:S,AB:AB$B@HAB1$B@ X "B@$L1$B@H =RC+RC[-1] &((L1$B@HL1:L179$0 2l "B@.L1:L179$B@H "B@> (S1$B@H @B@B,ZxMEP6 <<<< <<<0 14:0% <`xJ%Macro recorded 20/02/2005 by harris_d 14 D`J118%Macro recorded 20/02/2005 by harris_d00P&2@J08x @h H X 0@(T @@@D ``@4 p`@$ `@ @@81D$*\Rffff*0=437bb8edP"   ,0 ` h(p( !(( !(( !  $0 $@*P(h!(&S( !( (( @(P" p   ,   # !( !*((@(X !p(( !(( !(( !0(@(X !p $(!(&S( ! $((8 P(` x( ( ( ( #(x88op setre MacroMS& Macro recorded 20/02/2005 by harris_dnoV5:V78$B@HV78$B@  "B@$AD5:AD78$B@HAD78$B@  "B@$AK5:AK78$B@HAK78$B@  "B@$ ( (, B@*V78$B@H =RC+RC[-1] &((V78$B@HV5:V78$0 2l "B@.V5:V78$B@H "B@>AD5$B@H @B@BAK5$B@H @B@BA1$B@Ho` setree Macro& Macro recorded 20/02/2005 by harris_d F(H "B@$ V5:V78$B@H "B@$s , B@* AD5:AD78$B@HAD78$B@  "B@$AK5:AK78$B@HAK78$B@  ! 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"B@$s BA5:BA78$B@HBA78$B@  "B@$DBH5:BH78$B@HBH78$B@  "B@$D ( !V5$B@Hs  =RC+RC[-1] &((V5$B@H"@V5:V78$0 2l "B@.!V5:V78$B@H "B@>Y@ ( AD5$B@H  @B@BAK5$B@H ! @B@BAS5$B@H @B@BBA5$B@H @B@BBH5$B@H @B@BA1$B@H F(HA@JAttribute VB_Name = "Module2" Sub setre() H.Descriptionpacro recorded 20/02/2005 by harris_dProcDataUInvok@e_FuncU \n145' ' Mhq)(  Range("V5:V78").Select  Activate t.ClearContentsAD5:ADו* 0+K+K+ (+eWindow.SlllRoZwZ1C35mallC Down:=8C Z.Cell.FormulaR1C1z=RC+RC[x-1]{dIjcAutoFill !tina:=Ly, Type:=xl Defaul|уGCopy5z 5Sheet.PasD"(AK5 1 End Qeׂ{B r grerʀrApplicb7p.Cut-Fals_p >z8ow6aY19>_|B ?\C:A_| S S6#BA5:BA $ H H # BFFs7U'NߓߓZƓߗD7KNuASN+e3 %_ivBHAT` GyGCalci\&XAB1$B@H @B@BA1$B@H F(H &((A2$B@HαAttribute VB_Name = "Module4" Sub reset() H.Descriptionpacro`corded 21/02/2005 by harris_dProcDataUInvoke_FuncU \nB1' ' >Mhq(  Range("L:L,S:S,AB:AB").SelectD AB1 Activate w.ClearContentsL'!eCell.Formu@laR1C1m=RC+RC[-1]=!;Aut@oFill tHina:=j1:L179"), Type:=xlDefaulnL>Copy5/Window.SxllRo*w/1=S=Sheet.PasP?*CW pplic?.Cut+@AFalsk^ \A2ȀEnd rU~| iAQ )Ii(X'\%:l%$ XX(X'\%:l%$ X0X!X $ XX(X'\%:l%$ XX!:l%X$ (X,X(X'\%:l%$ XXSX'\%:l%$ QXoD%$%T $ T  T5D(X'\%:l%$ XX!X $ X X$l%X$ DX,X(X'\%:l %$ XXX$ @XX(X'\%:l%$ XXX$ @XX(X'\%:l%$ XX# X$ X X!:l%X$ (X,X(X'\%:l%$ XXh$ XTDkrU $`an_7wxME__SRP_3oModule5&__SRP_7D__SRP_6o(6 L8R0% T`xXk%Macro recorded 22/02/2005 by harris_d 14hPJ@l @\ @X H881D$*\Rffff*06437c8023*\R1*#229*\R1*#c4*\R1*#175"   ,0 ` h(p 08op twenty MacroJ1& Macro recorded 22/02/2005 by harris_dogA1$B@HxA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JA@JAttribute VB_Name = "Module5" Sub twent`y() L.Descriptiontacro recorded 22/02/2005 by harris_dProcDataVInvoke_FuncV \n146' ' MjSs(  Range("A1").Select Calc`ulateC !WCEnd rU~| IiA(X'\%:l%$ XX $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ T $ Teee$$ XkrU $`)n: uxMEP6 LLModule6" __SRP_9,__SRP_8o_VBA_PROJECT'<08V0% X`xk!!%Macro recorded 04/07/2005 by harris_dQdk 14hP"&2@FB@@x @h B@H@X @T @D AH4:@4 F(@$ td@ S 881D$*\Rffff*0644318c82*\R1*#229*\R1*#c4*\R1*#171*\R1*#175*\R1*#63*\R1*#b3!"   ,0 ` h*p $(( !(!((S((P !h $x( ( ( # !(!((@(SX((8op rereset Macro& Macro recorded 04/07/2005 by harris_d, B@*x ( L:L,S:S,AB:AB$B@HAB1$B@ 0 "B@$L1$B@H =RC+RC[-1] &((L1$B@HL1:L179$0 2l "B@.L1:L179$B@H "B@> (S1$B@H @B@BAB1$B@H @B@BAH4:AH6$B@H F(H "B@$AH4$B@H =RC+RC[-1] &((AH4$B@HmAH4:AH6$0 2l "B@.AH4:AH6$B@HA1$B@HH Attribute VB_Name = "Module6" Sub rereset() P.Descri ptionxacrohcorded 04/07/2005 by harris_dProcDataWInvok@e_FuncW \n147' ' Mlu)(  ActiveWindow.SmallS\ll Down:=1 RowHRange("L:L,S:S,AB:AB").Select!AB1 q:ate .ClearContentsL'\Cell.FormulaR1C1=RC+RC[-1]^N !;AutoFiA=estinaq:= :L179"), Type:=xl DefaulK7L1 >Copy5/]VTS=Sheet.PasP*CW H4:AH6jApplicAp.Cut-Fals(mAH4imSm6m 2VI0End rU~|  iAQ )A iq I<*(h%x$ Dx $x$h%x$ Dx,x(x'X%:h%$ xx(x'X%:h%$ x0x!x $ xx(x'X%:h%$ xx!:h%x$ (x,x(x'X%:h%$ xxSx'X%:h%$ QxoD%$%T $ T  T5D(x'X%:h%$ xx!x $ x x$h%x$ Dx,x(x'X%:h %$ xxx$ @xx(x'X%:h%$ xxx$ @xx(x'X%:h%$ xx# x$ x x!x $ xx(x'X%:h%$ xx!:h%x$ (x,x(x'X%:h%$ xxSx'X%:h%$ QxoD%$%T $ T  T5D(x'X%:h%$ xx(x'X%:h%$ xxPh$ xTDkrU $ `n      !"#$%&'()*+,-./012345678:;<=>?@ABDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcdeghjklmnoqrsuvwxyz{|}~am  *\G{000204EF-0000-0000-C000-000000000046}#4.0#9#C:\PROGRA~1\COMMON~1\MICROS~1\VBA\VBA6\VBE6.DLL#Visual Basic For Applications *\G{00020813-0000-0000-C000-000000000046}#1.3#0#C:\Program Files\Microsoft Office\Office\EXCEL9.OLB#Microsoft Excel 9.0 Object Library*\G{00020430-0000-0000-C000-000000000046}#2.0#0#C:\WINDOWS\System32\STDOLE2.TLB#OLE Automation *\G{2DF8D04C-5BFA-101B-BDE5-00AA0044DE52}#2.1#0#C:\Program Files\Microsoft Office\Office\MSO9.DLL#Microsoft Office 9.0 Object Library 1DModule105437bb8deModule1kThisWorkbook06437bb8de7ThisWorkbookU 5Module20=437bb8ed:Module2@Module304437bb8deLModule3.`Module40<437bb8deNModule4Module506437c8023RModule5w=Module60644318c82VModule6u @` V\=IoݿՆ<`i>2Jغ,`uLmC  dabHfCܕA@3N6I>`}n N3k;Cvj2gN}f`s,.x*RFALSE Excel+ VBAWin16~Win32MacVBA6#Project1  stdole` VBAProject Officeu Module1b _Evaluate(reset> ActiveWindow+ ScrollRow"Range Activate| SelectionZ ClearContents{ ActiveCell FormulaR1C1S SmallScrolltmDown;AutoFill_ Destinationл xlFillDefault]j LargeScroll~ ThisWorkbook|Workbookk Module2c(setreKCopyƿ ActiveSheet%NPaste(setree= Application* CutCopyMode Calculate Module3d Module4eColumnsp9 Module5f(twenty\ Module6g(rereset +MOSW7 ; ~e0* pHd VBAProject4@j = r 1D J< rstdole>stdole h%^*\G{00020430-C 0046}#2.0#0#C:\WINDOWS\System32\STDOLE2.TLB# Automation`E OfficEOficEE2DF8D04C-5BFA-101B-BDE5EAAC42Egram Files\Microsoft 6\MSO9.DLL#  9.0 Ob Li`braryC Modul`e1GdDu1 2E HB1mB,Bk!B+BnThisWorkbodir9i__SRP_0C__SRP_1!a&PROJECTwmfokG@ToisW rkbo 2 $5$U"B#$GB*2OB2JB2OB2OOKBG3O3J3O3P_.U4O4JJ4O4Po5555=':w6666 ou"KK*mrU~~~~~~~~~~~~^ AABDb^   a a pi)a a )    Module1 ThisWorkbookModule2Module3Module4 VBAProjectF /C:\PROGRA~1\COMMON~1\MICROS~1\VBA\VBA6\VBE6.DLLVBA a 0F 3C:\Program Files\Microsoft Office\Office\EXCEL9.OLBExcel Y@0FC:\WINDOWS\System32\STDOLE2.TLBstdoleCopy aPL-[DR 1C:\Program Files\Microsoft Office\Office\MSO9.DLLOffice a`reset setresetree L:L,S:S,AB:ABFFA AB1ClearContents L1 =RC+RC[-1] L1:L179DestinationTypeAutoFill S1 Paste A1F  A2Module5twentyModule6rereset AH4:AH6 AH4NrU     %Macro recorded 21/02/2005 by harris_d 14 %Macro recorded 20/02/2005 by harris_d %Macro recorded 22/02/2005 by harris_d %Macro recorded 04/07/2005 by harris_dEModule1Module1ThisWorkbookThisWorkbookModule2Module2Module3Module3Module4Module4Module5Module5Module6Module6ID="{E8494766-3120-4CF0-8BE4-64AFB9E442B8}" Module=Module1 Document=ThisWorkbook/&H00000000 Module=Module2 Module=Module3 Module=Module4 Module=Module5 Module=Module6 Name="VBAProject" HelpContextID="0" VersionCompatible32="393222000" CMG="6C6EB4F4D4A2D8A2D8A2D8A2D8" DPB="1E1CC646CA4A7D4B7D4B7D" GC="D0D208AB09AB0954" [Host Extender Info] &H00000001={3832D640-CF90-11CF-8E43-00A0C911005A};VBE;&H00000000 PROJECT#iSummaryInformation(&pDocumentSummaryInformation8tCompObjfOh+'0@H\p  harris_d  harris_d Microsoft Excel@zu@[脅՜.+,D՜.+,P  PX  !International School Of Toulouseu random quadratics simulation The Question  Worksheets 8@ _PID_HLINKSAL E http://www.planetqhe.com/ZUhttp://www.amazon.co.uk/exec/obidos/ASIN/0486653552/planetqhecom/202-4953046-9003852 FMicrosoft Excel WorksheetBiff8Excel.Sheet.89q