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9v

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a+7d:311

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@.@ ; 31d - 124

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?ro = 3 + (9)(4)

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40 - 17 +20 +24 8 7- 9+xX-3

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= (z-*) + x + (g-*)= (t-s) + 3 + (g-s)= 13

o

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riu6o n(nua) = so

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x= 20

6uA

6u%R'ue16uo dr{ rd urHtoR'ue'rfi :luo dru6 ur drur u 42 nua'q

orn3rJrir.:Uu x+y - 42(u

20+Y - 42

Y = 22

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= x + 30-y

= 20+30-22

=28

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]n2 (n + 1)2

4

n' (n + 1)2

{ n2 (n+1)2

n(n+1)

n2+n

4

- (AB) 2

4

- (AB)2

4

= AB2

-AB-AB-AB

lv?ro 3 2 #qr'5' 2 "u1u'r.rrfiqriju#sr{un

rna 2q

at cX <rt

fln? rnuf $nFt?uurJ

tllsr 1 LLnr 2I

e.t 6'

fln?un

frr{ 2 rj

ffn{ 2 11A

HTO

n:rJq

vd

5[n?unvd

6[n?un

AIla rfi n ar a a r,rt#in'[nn m ar #

ffn{ 2 11

r$nEJ srrfisrFflan{ z 302 rir rin irr nr :'[ a ufr s, &r

ty 91,/uo 4 aou ?ra 29/A

lJ 0 2 9.lO

rir

9'/ 9,/nl a<bLtn?-a<-bo

!1 {T1r nlilUql a < b9,/e't 9/

-1 u'l9ltil?l.] 2 lj'l.l .'. -a > -bq

9y lr,/ .2?ro 5 aou ?ro 3 x

nn tl\lT'ly$

_3x+1 : [._:)'

_+

n rfJuonrrnuv dlr,hu zn qi'oruflluoarrnuyoiru1.

2.

3.

nn Lil{r'rv (r*,t6 ) x (r-,t6 ) -fie L?lrry ( *

\.

=X

3 \2 13_tz) 4

2 3x+

4. nn Ly,trlr I r" I

913441

aou z?ag -I2

(x+z)'+("-r)'- o

^2 + 4x + 4 + *2 2x + 1 _ o

2x2 + 2x + 5 _ 6

2x2 + 2x 1 _ 0

^2 3x

tvsa6

-2tln

zunsil,l"l 'l'. Jo) r-'- fr)

[ 4 ,[ 4 )d'lgn (Conjagate) to{ff1fi'urravfi'u

e./ 3vr . ey aa o c'vl e,/

?tilt1EJ t?ta 101,[ Lila 0{ u6[9t.:rlytrfl Lc{

-

nlaau il Loaytilu6 q

2

4

A 6l e'/

[1 lT'lY Ltl S [U6[AT x -il

(t/t d 9'/ Vl 9'/

nilnunqo{ Lq 1 uY,U

1344

1

2

-b +

la rfi s il a a ?b'[#5ntr,rn r,r ar {

-

rans nrflErarasri 2 303 air r['n ? g'r n 1 :-[ n tfi s e.r

lvsa7

ila 8 nail ila1I

lx-2

2+53

aau z?a 1 t-3 , sl

*2 2x

^2 2x - 1s

(*-s) (*+3)

Lsetrirqou6o [-3 , 5]

H

@-30s@

t.lt ( x <rI5l

x-5X

X

lvso I aau ila+ 11

3

(,'0 );3

( 24't;\)23 (-8+3 =

3)

11

-27

1 n rfr cr au a o r,u'[#in'[u er rr ar i

7

rans nrf,srdran{ 2 304 airrinirrnr;'[n rfrsil

#a 10 aau ila 1 atbo

{a3b2:,

( a-t b-' 1zt-v"3b2

a3 b2

a-3 b-6

rfiut'"3

b4

9l'/ 9,/

?to 11 mou zta 4 1 , 3 , 5 , 11 ,21

2n+1 + (-1)n3

A'ln a

22 1

3

23 + 1

3

24 1

3

25 + 1

3

26 + 1

11

21

1 n 16 s, er r a ut#in'lr,uor rr er i

7

rilns nrfinorasr{ 2 30s eirrlnirrnr:'tn tfieril

z?a 12 aau

11-2nlv

?to 1

1-

nu'ir 1+ I +2

1

fl1

+4

[;)m[;.1

1+I

ldra... + tulAol,[nTilLTIJ1nfUA

aqn

f=

a1

1rH'l

Sn

Sn*ta1 ( ,-rn*1

1r

1

11^n*1z

9,/ lyga 13 aou zta 4 6

:-- -Y-. e..-^.r L' &dr ur uL 6[lAyl'.t.1 Yl LLq n q1.] n u?l { 14 u ql

1 ,n*1

aulu't + t,tnrc[?::ri'q

1

2

( '-'^ )

1 l.1)'*'\2)

1

1

2n

1 rn

[;)'

2X

nr.,rtyn{ -+ ou5'u'lqq

cy

6 f flU?]'l.l

dl,$FITfl?TTFI -+ rfru.:tHil

'[ n rfi s e.r a o ut#inlu o rr a.r i

radEJ Frrf,srcrran{ z 306 iirrfinirrnra-ta rfisil

9y 91,/

?ro 14 aou ?ra 2 !6

n(S)=6X6=36rirur.ro E 6 o rtsrr o.: rnsrnr:n[fi r.r nu?nr a{ usi'rurrnn'irnto ryir n-u 1 0

E = {(+,0) , (6,4) , (5,5) , (5,6) , (6,5) , (6,6) }

3 t-l- # -3,3)

*2g

lv 9y

?to 15 aou ?to

a1n y

"' n(E) = 6

a./ y ,_\ n(E) 6 1

o.tl,ll,t p(E) -' n(S) 36 6

.'.(*-s)(x+e)+ox + 3 , -3

r4ilr'r EJ lil a qir cir uqiol'Lri ryir n-u 0

r?o to srou fio z r, : ftx,y;lx < 0 unry = o)

nrtru#rulnt-uf r firilufirrifu 6o qrrrru#rufiuffi4d'ue-rorirarir 1x; qlorhirnfioun-u

rior r,,= t(",v) lx = ouns y < o)

uu'jr nruT fintu 4 r?iu (0 , -1) uns (o , -2) d.:fiq'i6'ue-usTrnfirrnfioun-uCJ

fraz rr: {(",r)l* < ouns y=o}

nu'jr surfintu r, rdu 1-t, 0) unr G2, 0) d.ror'lilfiqio"uqi'utqrnu dria"'uEium-rnrir(llcJ

uHfioun-u

rios r-: t(*,v)1" < ouns v . o)3 \\ '' /

n:-r'jr erur8nlu r, uiu (-1, -1) un: (-1, -zy d.:fiqjfuel-usTrnfi'rrnfiourYu,u

ila+ ro= t(",u)1" = outo y=o)

nu'jr nrurEnlu ro tau(0, 1) unt 1o,oy d.:firid-'ud-um-rnfirrnfiouriu

ln ufr u il 610 %t#inlunx1 il i

rans nrf,norao{'2 307 eia rinisr nr :'[a ufi s s,r

9r/

?to 179v

AOU TTA 4ooA

n1alfr9tlj0.l f 9t0 (0)q

9,/

lJ0 1 fior LT{T'ry 6[run'lr f(x) - 0 6tlqroi'eLLfl% x olnnrlrnh^lu'irsYA,t

o

oiriu ri'r$ouuo.tfliln1T f(x) - 0 firfru.: 2 enqaucr,/ A A o e-

1J0 2 llo rilT'tv Tqrilu 6o Lsala.:dru'lua3{ (R)

do 3 fisr Lvlltu t:ud'to.: t 6o [-r,*) (a1nnilill)e,/Jaa_/&,JA

110 4 On Ly.lTlr Aqql'lflO 910 x=0 91.11{1,[ Fl'l9l'lqqnO f (0)uqqq

rsafl o.:dru?%o3{fi fr eir rurnn'it 1

- l*l+t

ID :R'r

d'.rriu x # o.ll.. lxl

y1a,/ &

9l.l1,[1,b y

R - (1,@)r

tv0f ou rra 2 410

oirloufl'rr uil.lrfju z eiru

eier,ufi t qirueirloun'r:riuoi'u +o u'ryr

'iAaAa'/;8g'/6il?%11 2 noQ1nffi urnl.lTn?{41nff?TTtuRilnnun.lu'lu 45

A'/

aqaoLtnuxfi'209tqq

9r/

sa 18

9v

?lo 19

_ l-lovrririlurAotd'

lvgtou va 4

fior:n*r yalYo.rt,tl* y - 1

rflaooln T

0

0

1

aT9,'rrT10 n LntS,JaTttTn a0.lo'lun1 [ou6['lT

aT9./rr20 n Ln rilar#q'lil qi'0.:qir usirle u6r'trAaTiac,,rrTon 15 fl Ln L8.JATil tUn 0 A o.lQ'l Ugt'l L9tU6['lT

r?ruoi'0.:qil ueirTq u6r'rr tuairufd 2lfluutu G0

alY49,/rrTdraO.]ltU fltlT'lnqt0.l0'lUFl'l [qUfl'lTt]J1,{1.,:1.[ 40 + 370 - 410 U'lYl

afn Ln rilar

10 X 6 = 60 U'l?l

20X8 = 160 U'l?]

15X 10 = 150 U'lYl

+ 160 + 150 = 370 U'lyl

la rfr s il a o ?bt#intuerere.r i

rilns arflsrgT asr{ 2 308 eirrinisrnr:-[a rfiser

lvra 20lvaau so 1 16

8 rtJsr:

Sior:rHr A econr

ilu'j1 tJu EcD riluruilil1n tfiotorn rA ?Jn'ru Gqqe.t &er{uu ilil e6c = 30o (r{rlnrutu:il A :rruri'ulsi 180')q

fior:r*r A nso lryu'ir sin 3oon?lilu1?30.,1 AB

n?1ilU'l?110.,1 AD

gX

.'.x=16ty

e,/ {J t e./

9t.,tu1+ Ft?'ltJU'l?110{ AD tyl'lnu 16 tilaT

195 $Jnr

1

2

D

ila zt nau ila z 16s",6

300 urn:

E

fior:r*r A nro

Itu'ir tan 600 -

x:

X:

9t?1il U'l?1J0.,1 AE

U1?1J0',1 EDn?'1il

300

X

300

Js300

Js

,.6

Js - 1oo\A tiletT

lnrfisruaaut#intrrnerrui

7

r6rnEJ Frrf,srgfran{ 2 309 aiT rinirr nr:-ta rfi s a,r

fior;rHr A BCD

Itu'ir tan 60o = e'ilruurrto': BC

Fl?'luU'l?fl0.1 DC

.'. y- ryxf =

"/s '..6

d'.:riu:snsvirt:rn'irt:J:snren:tiunti'trt = x+y = roo"6 + 65rA = ros.6 lilel:

ilazz srou ria + vlFt y LrlAl*d.,: fi rin 13 u uil Tv u'r tr* 20o/o t o .:ld'er v u%1.[ c[r n'j r 6 o Pso

H..roi'rLL14il.r P - r ( N+1)

r 100

- 80(16+1)

- 13.6100

Pao od:vu'irrqi'luurirfd 13 LLns 14 riu6oa{:ru'jr.: 89 LLfls 93(u

. 93-89 x

14 -19 13.6 - 13

X+

0.6

2.4:x_&O.ll*U Pao = 89 + 2.4 = 91.4

99ilo zg nou rTo 3 fi'uoruro.rrirurin#runr:nornrirufilosJff'r:rfi.:unsneiruei'loun-rmrsfirirrvirrYu4quuqg

y . - 9+15+17+18+20+20+25+24+ 37+35 ar u1J0 1 nn x - = - 22ntnn:il. ?ltu.t 10

rio z nn fi#uto.rneirufiIornr:r1u = 35 -7 = 28ru .t qI

av ' qjlfiffita.:ncirriloruar:nrfir = 37 - 9 = 28q.ua

rio g fio il-rud1tlta.ir'llounr:mu - 16 + 20 = ra ttn;ril'uo'ruro{riTousr:ufir = 20@ql

2oqlu

rio + nn fi'roruro.rfiTouar:vYrililo = 20qt4.uaq,fv

o']uiluilTo.ltJ [qum:n{?luo = 204qt

t- 195{3- .J;195v_ ,.6

65.\6 tilar

la rfi s il 6{ a ltt#inlun ?'l r,r i

[anEJ srrf,srqran{,2 310 drfin?mnr:'tnrfieril

9v,tyzta 24 aou ua 2 40

9v

zta 25

drurueiTq unr:fi#runr:srfi u 20 fiInniru = 8 nu(u

acr8Flglt:JU x100-40%20

tyaou ?lo1 2,4ryrilarrafiofi 1 x _#

,i6[? U tU U.1 tU lAtl'l 9l T0'l 1*

20 + 19 + 21 + 18 + 22 + 23 + 17

S-

(zvzo)'* (tvzo)'* (ta-zo)'* (zs-zo)'*

20

(n-zo)'(zz-zo)'*(zl-zo)'*

IS - 4+ - 2

ilaernfioftz x-#

9t?'1il urj::Jr?u (,s',)

25+24+26+23+27+28+2225

s- (zs-zs)'+ (24-2s) 1 (zr-lzs)'* (zz-zs)'* (za-zs)'* (zz-25)'(n-2s)'*

-4

1 a rd s sr a o u'[fin'[r+n er er i

rons nrfinrrran{ 2 311 atrrin?rrnr:'tn rfrsil

lv t,/ra 26 aou ?to 2 B

oQ9'/Aa{-ra/

fl'll4l.tgt LHLnrq?T'l?l 4 t?l'lnu xj

LnTqLilnU = 2.75

(g"z )t(z"g )+(rl.+ )+z* - 2.rsIg * 2+1+2 ]

6+6+ 4+2x : 2.75I16+ 2x = 22

x=3-&vaAfr.rl.rl.r [t1q a.]fl ou lr:rn 4 loirn:q g

9/ tYioa?lA 27 AOU gA 3 nltilnutnlntun > ilr',Ud',tu > d']ltl*Uilp4

ntria U n fi rrivl't.tr?'t (Ri ght-skewed distri bution )ru.

nu'ir orufiuil < ris'soru < rirradutntntflqrop

r7o zB srou ila + fiqrouuuuiir:rosia.:finmrui uns:J:;nunr:nfrfiurn-unr:tdrin:rfl:6er.ll ,u

e l" - A y A oqrllls a d A u qyv o jnn:*il3?1fl'tn6u11fln1a{Hqau?10sYt't[14 [qn?1ilnqtilu [nu?nun1TtTlJo:tn:o9tytoq(ll

v a e e 4 v t d A - q eunna 0{ n 0 ila 0u a 0{ iln?l ilTun;lJ:rflljn1Tiltn u? nunlT lxu gtrrnro aql ,u ,u

ln rfr s il 6[ a r+'[#in'[r,ta ?1 il i