ap5-equações e sistemas-estatistica

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Kloni jc Pxca½% L%Rb% Aïhnc Dnpòinzc = poxocaohnc@gloni%bcl [ENQKXRNJOJK AKJKXOI JC POXÏ , [APO Loe{oi poxo o xkrci{çâc jk Kq{oçûkr k Rnrzk, lor jk Kq{oçûkr Inekoxkr {znin}oejc c Lnbxc, rcaz Ktbki 80?0% " Xkrcikejc {lo kq{oçâc inekox Ohxo c Lnbxcrcaz Ktbki 80?0% C xkb{xrc Oznegnx Lkzo ec Ktbki zkl bclc an, eoinjojk) oizkxox c oicx jk {lo bîi{io poxo q{k {lo aòxl{io oznemo jkzkxlneojc oicx% Bcl nrrc) pcjklcr xkrcikx kq{oçûkr k boib{iox c oicx jo nebògenzo {znin}ojo% Jngnzk ec Ktbki 80?0 o rnz{oçâc ohontc% Ogcxo jngolcr q{k ecrrc chmkznc î rohkx c oicx jo Jnrzxnh{nçâc Ecxloi Pojxcen}ojo $ ] . poxo jkzkxlneojo pxchohninjojk) rkl {znin}ox, lcr c lîzcjc jk zkezozno k kxxc% Poxo nrzc) {znin}oxklcr c xkb{xrc Oznegnx Lkzo) binboejc eo g{no Jojcr) ec gx{pc Akxxolkezo jk Jojcr) binq{k kl Zkrzk jk Dnpòzkrkr k obncek o cpçâc Oznegnx Lkzo% Eo zkio rkg{nezk) pxkkebdo bceacxlk cr jojcr opxk, rkezojcr ohontc k bceanxlk ec hczâc CF% Ktpinboçûkr= Kl Jkanenx bîi{io) jkklcr rkikbnceox o bîi{io q{k bcezîl {lo aòxl{io q{k jkpkejk jk {l jkzkxlneojc oicx xkakxkezk à bîi{io B: q{k bdoloxklcr jk chmkznc% Kl Poxo oicx) î o pxchohninjojk jkrkmojo kl B8 eo q{oi c oicx chmkznc kl B: jkk rkx xkakxkezk opòr o {znin}oçâc jo aòxl{io% Kl Oizkxeoejc bîi{io) jkklcr xkakxkebnox o bîi{io cejk dokxï rnl{ioçûkr $nlpiìbnzor. poxo c bïib{ic jc o, icx pojxcen}ojc ozî oznegnx c chmkznc jkrkmojc jkanenjc kl Poxo oicx% PXCA½ L%Rb% Lnenb{xrc jk Ktbki Ooeçojc 80?0 AÏHNC DNPÒINZC Kq{oçûkr k Rnrzklor jk Kq{oçûkr www%aohncdnpcinzc%bcl%hx  IORNG#GKPKB OI[EC$O.= Ktbki 80?0 " Axork jo opcrznio= (_{oejc o zxnrzk}o nkx oc rk{ kebcezxc) jkntk ronx jcr cidcr {lo iïgxnlo) jo hcbo {l rcxxnrc k jc bcxo, çâc {lo pxkbk) pcnr eâc râc bcoxjkr cr q{k bdcxol pcx olcx) lor rnl oq{kikr q{k eâc olol bcl lkjc jk bdcxox%%%( 

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Page 1: Ap5-Equações e Sistemas-Estatistica

8/6/2019 Ap5-Equações e Sistemas-Estatistica

http://slidepdf.com/reader/full/ap5-equacoes-e-sistemas-estatistica 1/2

Kloni jc Pxca½% L%Rb% Aïhnc Dnpòinzc= poxocaohnc@gloni%bcl [ENQKXRNJOJK AKJKXOI JC POXÏ , [APO

Loe{oi poxo o xkrci{çâc jk Kq{oçûkr k Rnrzk,

lor jk Kq{oçûkr Inekoxkr {znin}oejc c Lnbxc,rcaz Ktbki 80?0%

" Xkrcikejc {lo kq{oçâc inekox

Ohxo c Lnbxcrcaz Ktbki 80?0%

C xkb{xrc Oznegnx Lkzo ec Ktbki zkl bclc an,

eoinjojk) oizkxox c oicx jk {lo bîi{io poxo q{k

{lo aòxl{io oznemo jkzkxlneojc oicx% Bcl nrrc)pcjklcr xkrcikx kq{oçûkr k boib{iox c oicx jo

nebògenzo {znin}ojo%

Jngnzk ec Ktbki 80?0 o rnz{oçâc ohontc%

Ogcxo jngolcr q{k ecrrc chmkznc î rohkx c

oicx jo Jnrzxnh{nçâc Ecxloi Pojxcen}ojo $ ] .

poxo jkzkxlneojo pxchohninjojk) rkl {znin}ox,

lcr c lîzcjc jk zkezozno k kxxc% Poxo nrzc)

{znin}oxklcr c xkb{xrc Oznegnx Lkzo) binboejc eo

g{no Jojcr) ec gx{pc Akxxolkezo jk Jojcr)

binq{k kl Zkrzk jk Dnpòzkrkr k obncek o cpçâcOznegnx Lkzo%

Eo zkio rkg{nezk) pxkkebdo bceacxlk cr jojcr opxk,

rkezojcr ohontc k bceanxlk ec hczâc CF%

Ktpinboçûkr=

Kl Jkanenx bîi{io) jkklcr rkikbnceox o bîi{io q{k

bcezîl {lo aòxl{io q{k jkpkejk jk {l jkzkxlneojc

oicx xkakxkezk à bîi{io B: q{k bdoloxklcr jk chmkznc%

Kl Poxo oicx) î o pxchohninjojk jkrkmojo kl B8 eo

q{oi c oicx chmkznc kl B: jkk rkx xkakxkezk opòr o

{znin}oçâc jo aòxl{io%

Kl Oizkxeoejc bîi{io) jkklcr xkakxkebnox o bîi{io

cejk dokxï rnl{ioçûkr $nlpiìbnzor. poxo c bïib{ic jc o,

icx pojxcen}ojc ozî oznegnx c chmkznc jkrkmojc jkanenjc

kl Poxo oicx%

PXCA½ L%Rb% Lnenb{xrc jk Ktbki Ooeçojc 80?0AÏHNC DNPÒINZC Kq{oçûkr k Rnrzklor jk Kq{oçûkrwww%aohncdnpcinzc%bcl%hx  IORNG#GKPKB

OI[EC$O.= Ktbki 80?0

" Axork jo opcrznio=

(_{oejc o zxnrzk}o nkx oc rk{ kebcezxc) jkntk ronxjcr cidcr {lo iïgxnlo) jo hcbo {l rcxxnrc k jc bcxo,çâc {lo pxkbk) pcnr eâc râc bcoxjkr cr q{k bdcxolpcx olcx) lor rnl oq{kikr q{k eâc olol bcl lkjcjk bdcxox%%%( 

Page 2: Ap5-Equações e Sistemas-Estatistica

8/6/2019 Ap5-Equações e Sistemas-Estatistica

http://slidepdf.com/reader/full/ap5-equacoes-e-sistemas-estatistica 2/2

Lnenb{xrc jk Ktbki Ooeçojc 80?0  Pxca½% L%Rb% Aïhnc Dnpòinzc 

Kloni jc Pxca½% L%Rb% Aïhnc Dnpòinzc= poxocaohnc@gloni%bcl [ENQKXRNJOJK AKJKXOI JC POXÏ , [APO

Xkr{izojc=

Bcebi{ìlcr kezâc q{k pxòtnlc o >;+) zklcr

] ?)1:%

" Xkrcikejc {l rnrzklo jk kq{oçûkr inekoxkr

Poxo o rci{çâc jk pxchiklor lonr bclpiktcr

kecikejc kq{oçûkr k nekq{oçûkr ec Lnbxcrcaz

Ktbki 80?0 bcl lonr jk {lo oxnïki) {znin}olcr

o akxxolkezo Rcikx%

Rkmo c rnrzklo

;;:

?>28

 ~ t

 ~ t) bclc pcjk,

lcr boib{iox c oicx jor nebògenzor t k ~ ec Ln,

bxcrcaz Ktbki 80?03

Pxnlknxolkezk lcezk o rkg{nezk pioenido=

Eor bîi{ior J; k J1) jkklcr {znin}ox or rk,

g{nezkr aòxl{ior jk bclhneoçâc inekox) xkrpkbzn,

olkezk=

<RCLOXPXCJ[ZC$H;=B;6H8=B8.

<RCLOXPXCJ[ZC$H1=B16H8=B8.

Obkrrk o g{no Jojcr k ec gx{pc Oeïinrk) bin,

q{k eo cpçâc Rcikx k pxkkebdo cr bolpcr bc,

lc eo ang{xo o rkg{nx=

Ktpinboçûkr=

Kl Oizkxoejc Bîi{ior Qoxnïknr) jkklcr rkikbnceox c

nezkxoic H8 o B8) cejk rkxâc rnl{iojcr oicxkr q{k jkk,

xâc chkjkbkx àr xkrzxnçûkr jkrbxnzor ec bolpc R{mknzc àr

Xkrzxnçûkr%

Kl R{mknzc àr Xkrzxnçûkr) binq{k ec hczâc Ojnbnceox k

eo zkio rkg{nezk) antk or bclhneoçûkr inekoxkr jc nezkxoic

J; o J1 orr{lnejc xkrpkbznolkezk cr oicxkr jc nezkx,

oic K; o K1%

Kl Rkikbnceox {l Lîzcjc jk Rci{çâc) jkklcr rkik,

bnceox c lîzcjc IP Rnlpikt) q{k zxozo jk kq{oçûkr k

nekq{oçûkr inekoxkr) pcx anl) binq{k ec hczâc Xkrcikx k

CF kl rkg{njo% Chrkxk c xkr{izojc gkxojc%%%

Bcebi{ìlcr q{k o rci{çâc kebcezxojo poxo c rnrzkloinekox acn T < ; k ^ < 2%

R < v$;) 2.|