DISTRIBUCIÓN T DE STUDENT 1
January 22, 2023 | Author: Anonymous | Category: N/A
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Hkt. Mlfrogn Hmrbmv`llmbm Ludm
Ostmgèst`bm @@
LM G@RWY@ G@RWY@I_B@ÒD I_B@ÒD t GO RW_ RW_GODW GODW Lm g`str`iub`òd t go stugodt n s`hplohodto g`str`iub`òd t fuo ostmilob`gm od =500 pnr ol ]uèh`bn @dklos [`ll`md Romly Knssot(=5;6-=02;): h`odtrms trmimcmim od tàbd`bms go bml`gmg, su puostn dn orm `d`b`mlhodto go ostmgèst`bn y su gog`bmb`òd goièm ostmr oxblus`vmhodto oxblus`vmho dto odbmh`dmgm m hocnrmr lns bnstns go prngubb`òd, puil`bn sus emllmzkns mdòd`hmhodto mdòd`hmhodto f`rhmdgn sus mrtèbulns bnd ol sougòd`hn go “Rtugodt‘, pnr ln
quo so bndnbo pnr osto dnhiro. Od ol ostug`n go lm g`str`iub`òd t go stugodt ostí `dhorsm od ol bndboptn go krmgns go l`iortmg: pmrm gof`d`rln so emrí roforodb`m m lm vmr`mdzm huostrml. Gof`d`b`òd. Ro g`bo quo udm vmr`milo mlomtnr`m bndt`dum W so g`str`iuyo sokód tstugodt (hís irovohodto sokód t) bnd r krmgns go l`iortmg y so roprosodtm
pnr W t ( r ) s` su fudb`òd go gods`gmg os3 ( r + =) / 9 t 9 f (x) 8 = + r (= / 9 ) r ( )
∙( r ∙=) //9 9
,
∙ t +,
gndgo, r os ud odtorn pns`t`vn. Ru kríf`bm os go fnrhm bmhpmdn`go s`hàtr`bm od born bnhn so roprosodtm od lm f`kurm
G`str`iub`ò d t-Rtugo t-Rtugodt dt
Lm g`str`iub`òd t-Rtugodt t`odo lms s`ku`odtos prnp`ogmgos3 =.
U
t ( r ) odtndbos,
hog`m3
8
1, vmr`mdzm3
9
8
r r∙9
, r
9
Nisorvo quo lm vmr`mdzm go lm g`str`iub`òd “t‘ os hmynr quo go lm g`str`iub`òd D ( 1,=) . Qorn bumdgn r ↙ + , lm vmr`mdzm go lm “t‘ t`odgo m =. =
_D@VOYR@GMG MDG@DM GOL B_RBN
Hkt. Mlfrogn Hmrbmv`llmbm Ludm
9. R`
D ( 1,=) y [
S
9
Ostmgèst`bm @@
( r ) snd vmr`milos mlomtnr`ms `dgopodg`odtos, odtndbos,
lm vmr`milo mlomtnr`m3 W
S
( )
t r
8
w r
2. Rom U ~ t(r), bumdgn iuodm, s` r 21
r ↙ +
, U so mprnx`hm m
D ( 1,=) . Lm
mprnx`hmb`òd os
_RN GO LM WMILM t-RW_GODW Lms íroms n prnimi`l`gmgos go lm t-stugodt so bnds`kuod go pmquotos ostmgèst`bns, go bmlbulmgnrms bnd ostmgèst`bm mvmdzmgm n go tmilms.
Lm tmilm t-stugodt go osto toxtn, rolmb`ndm ol írom hog`mdto
Q W t=∙ ,r 8 = ∙ bnhn
=∙
bnd ud vmlnr
b 8 t=
∙
,r
so `dg`bm od lm f`kurm
OCOHQLN
=. R` U~ r(=5), emllo3 m) Q U 9.=1=
b) Q U ∙9.5;5
i) Q U
=.;27
g) Q ∙=.22N U 9.??9 o) Q U
9
RNL_B@ND. m. QZU 9.=1=X 8 1.0;?
i) Q U =.;27 8 = ∙ Q U =.;27 8 = ∙ 1.0? 8 1.1? b)
Q U ∙9.5;5 8 = ∙ Q
U 9.5;5 8 = ∙ 1.00? 8 1.11?
g) Q ∙=.221 U 9.??9 8 Q U 9.??9 ∙ Q U ∙=.221 8 1.001 ‗ (= ∙ 1.01 ) 8 1.001 ∙ = + 1.01 8 1.50
9
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Hkt. Mlfrogn Hmrbmv`llmbm Ludm
Ostmgèst`bm @@
o) rosnlvor3 Q U 9 RNL_B@ÒD Qnr `dtorpnlmb`òd so t`odo3 Vmlnr go t3
=.;27 9 9.=1=
1.0?1 M 1.0 .0; ;?
Íroms rospobt`vms3
M ∙ 1.0?1
Odtndbos3 M ∙
9.
R`
9 ∙ =.;27 8
1.0;? ∙ 1. 1.0?1
1.0?1 8
M ∙ 1.0?1
9.=1= ∙ =.;27
(1.19?)(1.966)
1.26;
U ~ t(= t(=1) emllo ol vmlnr b
1.19?
M 8 1.0?1 +
1.966 8
1.26;
1.1=5 8 1.065
tml quo3
m) Q U b 8 1.00? i) Q U b 8 1.1? Q U
b) g) Q ∙b
b
8
1.1=
U b 8 1.0?
o) Q U b 8 1.09. RNL_B@ND. Emllmr ol vmlnr go b go bmgm udm go lms s`ku`odtos prokudtms3
m) s`3
QZU bX 8 1.00?
b
8
2.=60
i) s`3 Q U b 8 1.1? RNL_B@ÒD
R` 3 Q U b 8 1. 1.1?
Q U b 8 =∙ Q U b b
Q U b 8 =∙ Q U b
Q U b 8 = ∙ 1.1? 8 1.0?
=.5=9 ol pudtn “b‘ os dokmt`vn pnr quo so
8 ∙
odbuodt odbuodtrm rm m lm `zqu`orgm gol born mrv`trmr`n.
b) s`3 Q U 4 b 8 1 . 1 = Emllmr ol vmlnr go “b‘ RNL_B@ÒD
Q U 4 b 8 1.1=
Q U 4 b 8 =- Q U b
Q U b 8 =- 1.1= 8 1.00
Q U b 8 1.00
b 8 9.;67
2
_D@VOYR@GMG MDG@DM GOL B_RBN
Hkt. Mlfrogn Hmrbmv`llmbm Ludm
Ostmgèst`bm @@
1..0? Emllmr “b‘ g) s`3 Q -b U b 8 1
RNL_B@ÒD
Q -b U b 8 1.0?
1 .0?1 U b - ((==- Q U b ) 8 1. 9Q U b 8=+1.0 8=+1.0?18 =.0?1 0?1
Q
9Q U b 8 =. =.0?1
o) s`3
Q -b U b 8 Q U b - Q U -b - b 8 1.0?
Q
Q U b 81 1..0;?
1.0?1 U b - =+ Q U b 8 1.
b 89 9..995
y b8-9.995
b 8 1.09.
Q U
snlub`òd y =.2;9 b =.5=9
Q U b 8 1.09. 1.011 1.09 1.0?1
Yosnlv`odgn pnr prnpnrb`ndml`gmg so t`odo3 b ∙ =.2;9
1.091 ∙ 1.011
b ∙ =.2;9
8
=.5=9 ∙ =.2;9 b ∙ =.2;9 8
1.0?1 ∙ 1.011
1.771 1.7 71 1.1 1.191 91
1 1..191 8
1.771
b 8 =.2;9 +
1.1?
1.=;6
b 8 =.?75
1.1?1 b 8 =.?75
2. R` U tt`odo `odo g` g`str`iub`òd str`iub`òd t go stud studgodt godt bnd =; krmgns go l`iortmg, Em Emllmr3 llmr3 m.- Q U 9.505 i.-
Q .;71 U 4 =.;7 b.- Q U -2.06?
RNL_B@ÒD
m.- Emllm3
Q U 9.505
snlub`òd Q U 9.5 .50 05
00? ? 8 1.00
i.- Emllmr3
Q ;71 U =.;71
8 >
snlub`òd Q U 4 =.;71 8 = - Q U
b.- emllmr3
Q U -2.06?
=.;71 8 = - 1.0? 8 1.1?
snlub`òd
Q U -2.06? 8 =-Q U 2.06? 8 =-1. =-1.0 000? 8 1.111?
7. R` U t`odo g`str`iub`òd t go stugod stugodtt bnd =9 krmgns ggoo l`iortmg, em emllmr llmr ol vmlnr go “b‘ tml quo3 7
_D@VOYR@GMG MDG@DM GOL B_RBN
Hkt. Mlfrogn Hmrbmv`llmbm Ludm
m.- Q U b 8 1.0? i.RNL_B@ÒD m) Q U b 8 1.0? Rnlub`òd
i)
Q U
b 8 1.0?
Q U
b 8 1.1?
Ostmgèst`bm @@
Q U
b 8 1.1?
b 8= =..;59
Rnlub`òd Q U
b 8 = - Q U b 8 1.1?
=∙ Q
U b 8 1 1? Q U b 8 1 0?1 .
Q U
b 8 = ∙ 1
b 8=
.
1?
.
;59
.
?. R` U t`odo g`str`iub`òd t go R Rtugodt tugodt bbnd nd =5 krmgns ggoo l`iortmg, emllmr3 ??9 9 =1= 5;5 m. Q U 9 ?? i.- Q U 9 =1= b.- Q U ∙9 5;5 .
g.-
.
Q ∙= 221
.
U
,
9 ??9
o.-
.
Q U 2 099 .
snlub`òd m. Emllmr3 Q U 9 ??9 .
Rnlub`òd Q U 9 ??9 .
8 1 00 .
i. Emllmr3 Q U 9 =1= Rnlub`òd .
Q U
9
=1=
.
8 = ∙ Q U 9
=1=
.
8=∙ 1
0;?
.
81
19?
.
b. Emllmr3 Q U ∙9 5;5 Rnlub`òd ,
Q U
∙9 5;5 8 = ∙ Q U ,
g. Emllmr3 Q ∙= 221 Rnlub`òd .
Q ∙=.221
U
U
9
9.5;5
8 =∙ 1
00?
.
81
11?
.
??9
.
9.??9 8 Q U 9.??9 ∙ Q U ∙=.221
8 Q U 9.??9 ∙ Z= ∙ Q U =.221X 8 1.00 ∙ = + 1.01 8 1.50
o. Emllmr 3 Q U 2 099 Rnlub`òd .
?
_D@VOYR@GMG MDG@DM GOL B_RBN
Hkt. Mlfrogn Hmrbmv`llmbm Ludm
Ostmgèst`bm @@
Q U 2 099 81.000? .
6. R` U ~ t(9 t(9=) emllo ol vmlnr b tml quo3 m) Q U b 8 1.0;? i) Q U b 8 1.=1
8 1.1?
b)
Q U
g)
Q ∙b U b 8 1.0?
b
o) Q U b 8 1.09. RNL_B@ND. Emllmr ol vmlnr go b go bmgm udm go lms s`ku`odtospro s`ku`odtosprokudtms kudtms3
m) s`3 i)
QZU bX 8 1.0;?
R` 3 Q U b 8 1.=1
b
8
9.151
Q U b 8=-1.=181.01
b 8 ∙=.292
Q U4b 81.1?
b) s`3
, Emllmr “b‘
RNL_B@ÒD
Q U 4 b 8 1.1?
Q U 4 b 8 =- Q U b
Q U b 8 =- 1.1? 8 1.0?
g) R`3
b 8 =.;9=
Q ∙b U b 8 1.0?
RNL_B@ÒD Q
∙b U b 8 1.0? Q ∙b U b 8 Q U b ∙ Q U ∙b 8 1.0?
Q U b ∙ (= ∙ Q U b 8 1.0?1 9Q U b 8 =.0?1
o) s`3
9Q U b 8 = + 1 1..0?1
Q U b 8 1.0;?
b 8 1.09.
Q U
b 8 9.995
RNL_B@ÒD Rom Q U b 8 1.09.
@dtorpnlmdgn so t`odo3 =.292 b
Vmlnr go t3
Íroms rospobt`vm rospobt`vms3 s3 Odtndbos3
b ∙
b ∙
1.011 1.091 1.0?1
=.292
=.;9= ∙ =.292
=.292 8
=.;9=
8
1.091 ∙ 1.011 1.0?1 ∙ 1. 1.011
(1.205)(1.19) 1.1?
b 8
b ∙
=.292
1.205
8
1.19 1.1?
=.292 + 1.=?09 8 =.7599
6
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Hkt. Mlfrogn Hmrbmv`llmbm Ludm
Ostmgèst`bm @@
;
_D@VOYR@GMG MDG@DM GOL B_RBN
Hkt. Mlfrogn Hmrbmv`llmbm Ludm
Ostmgèst`bm @@
5
_D@VOYR@GMG MDG@DM GOL B_RBN
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