Uitgebreide gebruiksaanwijzingen staan in de gebruikershandleiding.
[. . . ] :LVNXQGLJH IXQFWLHV
ZDDU ppQ RQEHNHQGH LQ YRRUNRPW JHEUXLNHQ KHW JHWDO LQ GH GLVSOD\ DOV RQEHNHQGH
Toetsen:
&' #B !#% !$B 1
Display:
9, 45 0, 42 3, 99
Beschrijving:
%HUHNHQW GH YLHU NDQWVZRUWHO ZRUGW HHUVW EHUHNHQG 7HOW HQ ELM HONDDU RS
IXQFWLH WZHH JHWDOOHQ QRGLJ ]LMQ ZRUGHQ GH]H DOV YROJW LQJHYRHUG JHWDO JHWDO HQ YHUYROJHQV GH XLW WH YRHUHQ EHZHUNLQJ $OV X RS GUXNW ZRUGW GH KXLGLJH XLWGUXNNLQJ EHUHNHQG HQ ]LHW X GH INPUTLQGLFDWRU 'RRU GH YROJHQGH WRHWVDDQVODJHQ ZRUGW ELMYRRUEHHOG GH SURFHQWXHOH YHUDQGHULQJ WXVVHQ HQ EHUHNHQG
Functies met twee onbekenden. $OV HU YRRU HHQ
H
H
Toetsen:
%H ' BT
Display:
17, 00
Beschrijving:
29_ 70, 59
9RHUW JHWDO LQ GH INPUTLQGLFDWRU YHU VFKLMQW 9RHUW JHWDO LQ %HUHNHQW GH SURFHQWXHOH YHUDQGHULQJ
1: Om te beginnen
29
Het formaat van getallen tonen
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
Het aantal getoonde decimalen aangeven
*D DOV YROJW WH ZHUN RP KHW DDQWDO JHWRRQGH GHFLPDOHQ DDQ WH JHYHQ 'UXN RS 9RHU KHW DDQWDO GHFLPDOHQ WP LQ GDW X ZLOW ]LHQ
B0
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7 B0!"#$4 #$1 B0' B0
Display:
0, 00 0, 000 5, 727 5, 727360000 5, 73
Beschrijving:
:LVW GH GLVSOD\ 7RRQW GULH GHFLPDOHQ 7RRQW QHJHQ GHFL PDOHQ 7HUXJ QDDU GH QRWDWLH PHW WZHH GHFLPDOHQ +HW JHWDO LQ GH GLVSOD\ ZRUGW DIJHURQG
$OV HHQ JHWDO WH JURRW RI WH NOHLQ LV RP LQ KHW ', 63 IRUPDDW JHWRRQG WH ZRUGHQ ZRUGW KHW DXWRPDWLVFK LQ GH ZHWHQVFKDSSHOLMNH QRWDWLH JHWRRQG
30
1: Om te beginnen
Wetenschappelijke notatie
'H ZHWHQVFKDSSHOLMNH QRWDWLH ZRUGW JHEUXLNW YRRU JHWDOOHQ GLH WH JURRW RI WH NOHLQ ]LMQ YRRU GH GLVSOD\ $OV X ELMYRRUEHHOG KHW JHWDO LQYRHUW LV KHW UHVXOWDDW ( GDW EHWHNHQW ppQ NHHU WLHQ WRW GH YHHUWLHQGH PDFKW RI ZDDUELM GH GHFLPDOH NRPPD YHHUWLHQ SODDWVHQ QDDU UHFKWV ZRUGW JHVFKRYHQ 8 NXQW GLW JHWDO LQYRHUHQ GRRU B9 LQ WH WRHWVHQ 'H ( EHWHNHQW GH H[SRQHQW YDQ WLHQ
4
1
9RRU ]HHU NOHLQH JHWDOOHQ NXQQHQ H[SRQHQWHQ RRN QHJDWLHI ZRUGHQ +HW JHWDO ]LHW X DOV ( GLW EHWHNHQW YLHU NHHU WLHQ WRW GH QHJDWLHYH WZDDOIGH PDFKW RI ZDDUELM GH GHFLPDOH NRPPD SODDWVHQ QDDU OLQNV LV YHUVFKRYHQ 8 NXQW GLW JHWDO LQYRHUHQ GRRU LQ WH WRHWVHQ
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Getallen met volledige nauwkeurigheid tonen
'RRU RS WH GUXNNHQ VWHOW X GH FDOFXODWRU LQ RP JHWDOOHQ ]R QDXZNHXULJ PRJHOLMN WH WRQHQ QXOOHQ DFKWHU KHW JHWDO ZRUGHQ QLHW JHWRRQG $OV X WLMGHOLMN DOOH FLMIHUV YDQ KHW JHWDO LQ GH GLVSOD\ ZLOW EHNLMNHQ RQDIKDQNHOLMN YDQ GH LQJHVWHOGH JHWDOQRWDWLH GUXNW X RS HQ KRXGW X LQJHGUXNW 8 ]LHW KHW JHWDO ]RODQJ X LQJHGUXNW KRXGW 'H GHFLPDOH NRPPD ZRUGW QLHW JHWRRQG
B0
1
B0 1
%HJLQ PHW WZHH GHFLPDOHQ B0
Toetsen:
d%1 B01
Display:
1, 43 142857142857
Beschrijving:
9RHUW GH GHOLQJ XLW 7RRQW DOOH FLMIHUV
Punt en komma verwisselen
8 NXQW GH SXQW HQ GH NRPPD PHW HONDDU YHUZLVVHOHQ DOV GHFLPDDO VFKHLGLQJVWHNHQ RI DOV VFKHLGLQJVWHNHQ WXVVHQ FLMIHUV $QJHOVDNVLVFKH YHUVXV LQWHUQDWLRQDOH QRWDWLH GRRU RS WH GUXNNHQ
B
(pQ PLOMRHQ NDQ ELMYRRUEHHOG DOV ZRUGHQ JHWRRQG RI DOV
1: Om te beginnen 31
Het afronden van getallen
'H FDOFXODWRU VODDW JHWDOOHQ RS LQ FLMIHUV HQ UHNHQW HYHQHHQV PHW JHWDOOHQ YDQ FLMIHUV $OV GH QDXZNHXULJKHLG YDQ FLMIHUV QLHW ZHQVHOLMN LV NXQW X PHW KHW JHWDO DIURQGHQ QDDU GH QRWDWLH YDQ GH GLVSOD\ YRRUGDW X KHW YRRU HHQ YHUGHUH EHUHNHQLQJ JHEUXLNW +HW DIURQGHQ YDQ FLMIHUV LV ]HHU KDQGLJ DOV X GH ZHUNHOLMNH PDDQGHOLMNH EHWDOLQJHQ GROODUV HQ FHQWV ZLOW EHUHNHQHQ
Bv
Toetsen:
'&%$#"! [. . . ] Eindmodus
6WHO GH (LQGPRGXV LQ 'UXN RS
. . .
35
36
B !4 #F "# # G P
Toetsen:
ByDO
V X GH BEGINLQGLFDWRU ]LHW
Beschrijving:
Display:
12, 00 36, 00
10, 50 13. 000, 00 0, 00 422, 53
6WHOW KHW DDQWDO SHUL RGHV SHU MDDU LQ 6ODDW KHW DDQWDO SHULRGHV YDQ GH OHQLQJ RS 6ODDW GH MDDUOLMNVH QRPLQDOH UHQWHYRHW RS 6ODDW KHW JHOHHQGH EHGUDJ RS 6ODDW KHW EHGUDJ RS GDW QRJ XLWVWDDW QD GULH MDDU %HUHNHQW GH PDDQ GHOLMNVH DIEHWDOLQJ +HW PLQWHNHQ JHHIW KHW EHWDDOGH EHGUDJ DDQ
56
5: "Time Value of Money"-berekeningen
Deel 2. %LM ZHONH UHQWHYRHW ZRUGW KHW PDDQGHOLMNV WH EHWDOHQ EHGUDJ PHW
#P F
YHUPLQGHUG WRW ELM HHQ KRRIGVRP YDQ "
372, 53
2, 03
9HUPLQGHUW GH EHWDOLQJ WRY GH HHUGHU EHUHN HQGH %HUHNHQW GH MDDUOLMNVH UHQWHYRHW YRRU GH JHUHGXFHHUGH EHWDOLQJ
Deel 3. $OV GH UHQWH LV HQ X SHU PDDQG QLHW PHHU GDQ ZLOW EHWDOHQ ZDW NXQW X GDQ PD[LPDDO DDQ HHQ QLHXZH DXWR XLWJHYHQ"
#F !%#@P #1
10, 50
375, 00 11. 537, 59 13. 037, 59
6ODDW GH RRU VSURQNHOLMNH UHQWHYRHW RS 6ODDW GH JHZHQVWH EHWDOLQJ RS %HUHNHQW KHW WH ILQDQ FLHUHQ EHGUDJ 7HOW GH YRRUXLWEHWDOLQJ RS ELM KHW JHILQDQFLHUGH EHGUDJ RP GH WRWDOH SULMV YDQ GH DXWR WH NULM JHQ
Voorbeeld: Een hypotheek op een huis. 8 YLQGW GDW KHW PD[LPDOH PDDQGHOLMNVH EHGUDJ GDW X DDQ HHQ K\SRWKHHN NXQW XLWJHYHQ LV 8 NXQW HHQ YRRUXLWEHWDOLQJ PDNHQ YDQ HQ GH MDDUOLMNVH UHQWHYRHW LV RS KHW RJHQEOLN $OV X HHQ K\SRWKHHN YRRU MDDU NXQW NULMJHQ ZDW LV GDQ GH PD[LPDOH DDQNRRSSULMV GLH X ]LFK NXQW YHURRUORYHQ"
5: "Time Value of Money"-berekeningen
57
PV = ?I/YR = 7, 5% N = 30 12 P/YR = 12 1 2 3 4
. . .
356 357 358 359 360
PMT = -930, 00 Eindmodus
6WHO GH (LQGPRGXV LQ 'UXN RS
B !B G %#F '!@P
Toetsen:
ByDO
V X GH BEGINLQGLFDWRU ]LHW
Beschrijving:
Display:
12, 00 360, 00 0, 00 7, 50 930, 00
1
58
133. 006, 39
145. 006, 39
6WHOW KHW DDQWDO SHUL RGHV SHU MDDU LQ 6WHOW GH GXXU YDQ GH K\SRWKHHN LQ %HWDDOW GH K\SRWKHHN LQ MDDU DI 6ODDW GH UHQWHYRHW RS 6ODDW GH JHZHQVWH EHWDOLQJ RS XLWEH WDDOGH EHGUDJ LV QHJDWLHI %HUHNHQW KRH JURRW GH OHQLQJ LV ELM PDDQ GHOLMNVH EHWDOLQJHQ YDQ 7HOW DDQ YRRUXLWEHWDOLQJ RS RP GH WRWDOH DDQNRRSSULMV WH NULMJHQ
5: "Time Value of Money"-berekeningen
Voorbeeld: Een hypotheek met een ballonbetaling. 8 KHEW HHQ K\SRWKHHN YDQ JHNUHJHQ YRRU MDDU WHJHQ HHQ MDDUOLMNVH UHQWHYRHW YDQ 8 YRRU]LHW GDW X KHW KXLV QD YLHU MDDU ]XOW YHUNRSHQ HQ GH OHQLQJ PHW HHQ EDOORQEHWDOLQJ ]XOW WHUXJEHWDOHQ :DW ]DO GH EDOORQEHWDOLQJ ]LMQ"
/RV GLW SUREOHHP RS LQ WZHH HWDSSHV %HUHNHQ GH EHWDOLQJ RS GH OHQLQJ RS EDVLV YDQ HHQ WHUPLMQ YDQ MDDU %HUHNHQ KHW RYHUEOLMYHQGH VDOGR QD YLHU MDDU
Punt 1. %HUHNHQ HHUVW GH EHWDOLQJ RS GH OHQLQJ JHEDVHHUG RS HHQ WHUPLMQ YDQ MDDU
PV = 172. 500 I/YR = 8, 8% N = 25 12 P/YR = 12 1 2 PMT = ?Eindmodus
6WHO GH (LQGPRGXV LQ 'UXN RS
. . .
299
300
B #B G % # &&F P
Toetsen:
ByDO
V X GH BEGINLQGLFDWRU ]LHW
Beschrijving:
Display:
12, 00 300, 00 0, 00 172. 500, 00 8, 80 1. 424, 06
6WHOW KHW DDQWDO SHULRGHV SHU MDDU LQ 6ODDW GH GXXU YDQ GH K\SRWKHHN RS PDDQGHQ 6ODDW KHW VDOGR YDQ GH OHQLQJ QD MDDU RS 6ODDW KHW VDOGR YDQ GH RRUVSURQNHOLMNH OHQLQJ RS 6ODDW GH MDDUOLMNVH UHQWHYRHW RS %HUHNHQW GH PDDQGHOLMNVH DIEHWDOLQJ
5: "Time Value of Money"-berekeningen
59
Punt 2. $DQJH]LHQ GH EHWDOLQJ DDQ KHW HLQG YDQ GH PDDQG ZRUGW JHGDDQ ZRUGHQ GH ODDWVWH EHWDOLQJ HQ GH EDOORQEHWDOLQJ WHJHOLMNHUWLMG JHGDDQ 'H ODDWVWH EHWDOLQJ LV GH VRP YDQ 307 HQ )9
PV = 172. 500, 00 I/YR = 8, 8% N = 4 12 P/YR = 12 1 2 3 4
. . .
44 45 46 47 48 FV = ?
PMT = -1. 424, 06 Eindmodus
'H ZDDUGH LQ 307 PRHW ELM KHW EHUHNHQHQ YDQ )9 RI 39 DOWLMG RS WZHH GHFLPDOHQ DIJHURQG ZRUGHQ RP NOHLQH ]LFK FXPXOHUHQGH YHUVFKLOOHQ WXVVHQ QLHW DIJHURQGH HQ ZHUNHOLMNH GROODUV HQ FHQWV EHWDOLQJHQ WH YHUPLMGHQ $OV GH GLVSOD\ QLHW RS WZHH GHFLPDOHQ LV LQJHVWHOG GUXNW X RS
B0
BvP "& G (P1
Toetsen:
Display:
1. 424, 06
Beschrijving:
48, 00
163. 388, 39 164. 812, 45
5RQGW EHWDOLQJHQ RS WZHH GHFLPDOHQ DI HQ VODDW GH]H GDQ RS 6ODDW GH WHUPLMQ YDQ YLHU MDDU GLH X YHUZDFKW KHW KXLV WH EH]LWWHQ RS %HUHNHQW KHW VDOGR YDQ GH OHQLQJ QD YLHU MDDU %HUHNHQW KHW WRWDDO YDQ GH H EHWDOLQJ 307 HQ )9 YRRU KHW DIORVVHQ YDQ GH OHQLQJ KHW WH EHWDOHQ EHGUDJ ZRUGW DDQJHGXLG DOV HHQ QHJDWLHI JHWDO
60
5: "Time Value of Money"-berekeningen
Berekeningen met spaarsystemen
Voorbeeld: Een spaarrekening. $OV X RS HHQ VSDDUUHNHQLQJ VWRUW ZDDU X HHQ MDDUOLMNVH UHQWHYRHW YDQ NULMJW HQ YHUGHU JHHQ DQGHUH EHGUDJHQ VWRUW KRH ODQJ GXXUW KHW YRRUGDW HU RS GH UHNHQLQJ VWDDW"
FV = 3. 000, 00 I/YR = 7, 2% N=?P/YR = 1 1 2 3
. . .
N=?
PMT = 0 PV = -2. 000, 00
$DQJH]LHQ HU JHHQ UHJHOPDWLJH EHWDOLQJHQ ZRUGHQ JHGDDQ 307 GH EHWDOLQJVPRGXV (LQG RI %HJLQ QLHW YDQ EHODQJ LV
B8 B @ !G % F
Toetsen:
1
Display:
0, 00 1, 00
Beschrijving:
2. 000, 00 3. 000, 00 7, 20 5, 83
:LVW DOOH UHJLVWHUV 6WHOW 3<5 JHOLMN DDQ DDQJH]LHQ GH UHQWH MDDUOLMNV ZRUGW VDPHQJHVWHOG 6ODDW KHW EHGUDJ RS YDQ KHW HHUVWH GHSRVLWR 6ODDW KHW EHGUDJ RS GDW X ZLOW ELMHHQVSDUHQ 6ODDW GH MDDUOLMNVH UHQWHYRHW RS %HUHNHQW KHW DDQWDO MDUHQ GDW QRGLJ LV RP RS WH NRPHQ
61
5: "Time Value of Money"-berekeningen
$DQJH]LHQ GH EHUHNHQGH ZDDUGH YDQ 1 WXVVHQ HQ OLJW ]LMQ HU WHQPLQVWH ]HV MDUHQ MDDUOLMNVH DFFXPXODWLH QRGLJ RP RS WHQPLQVWH WH NRPHQ %HUHNHQ KHW ZHUNHOLMNH VDOGR QD ]HV MDDU
$ G
6, 00 3. 035, 28
6WHOW DDU LQ %HUHNHQW KHW EHGUDJ GDW X QD MDDU NXQW RSQHPHQ
RSM
Voorbeeld: Een persoonlijke pensioenrekening. $OV GH YHUNRSHU YDQ KHW FRQWUDFW XLW KHW YRULJH YRRUEHHOG
5. 000
5. 000
1
3
5
7
9
11
13
15
17
19
21
23
25
IRR/YR = ?
-28. 000
&@B3 D BW
Toetsen:
Display:
28. 000, 00 12, 49
Beschrijving:
:LM]LJW GH HHUVWH FDVKIORZ %HUHNHQW GH MDDUOLMNVH QRPLQDOH RSEUHQJVW
8 YLQGW QRJ PHHU YRRUEHHOGHQ ZDDULQ 139 HQ , 55<5 YRRUNRPHQ LQ KRRIGVWXN ([WUD YRRUEHHOGHQ
6: Cashflowberekeningen
85
Automatische opslag van IRR/YR en NPV
( ( $OV X , 55<5 EHUHNHQW ZRUGW KHW UHVXOWDDW RRN LQ , <5 RSJHVODJHQ %LM KHW YRULJH YRRUEHHOG GUXNW X RS (F RP GH MDDUOLMNVH RSEUHQJVW WH WRQHQ
$OV X GH 139 EHUHNHQW ZRUGW KHW UHVXOWDDW LQ 39 RSJHVODJHQ $OV X GDW UHVXOWDDW ZLOW RSYUDJHQ GUXNW X RS $OV X GH 790ZDDUGHQ XLW KHW ODDWVWH YRRUEHHOG ZDDULQ PHW 139 ZHUG JHZHUNW SDJLQD QLHW KHEW YHUDQGHUG LV KHW UHVXOWDDW DOV X RS GUXNW
86
6: Cashflowberekeningen
7
Statistische berekeningen
'H WRHWVHQ HQ ZRUGHQ JHEUXLNW RP JHJHYHQV YRRU VWDWLVWLHNHQ PHW ppQ RI WZHH YDULDEHOHQ LQ WH YRHUHQ RI WH YHUZLMGHUHQ 6RPPDWLHJHJHYHQV ZRUGHQ RSJHVODJHQ LQ KHW JHKHXJHQ 'H ODEHOV GLH ERYHQ GH WRW WRHWVHQ VWDDQ JHYHQ DDQ ZHON VWDWLVWLVFK JHJHYHQ LQ KHW EHWUHIIHQGH UHJLVWHU LV RSJHVODJHQ 1DGDW X GH JHJHYHQV KHEW LQJHYRHUG NXQW X GH VWDWLVWLVFKH IXQFWLHV JHEUXLNHQ RP KHW YROJHQGH
e Bd
"'
WH EHUHNHQHQ n *HPLGGHOGH HQ VWDQGDDUGGHYLDWLH n /LQHDLUH UHJUHVVLH n /LQHDLUH EHQDGHULQJ HQ YHUZDFKWLQJHQ n *HZRJHQ JHPLGGHOGH n 6RPPDWLHVWDWLVWLHNHQ Q [ [ \ \ HQ [\
Statistische gegevens wissen
:LV GH VWDWLVWLVFKH UHJLVWHUV YRRUGDW X QLHXZH JHJHYHQV LQYRHUW $OV X GH UHJLVWHUV QLHW ZLVW ZRUGHQ GH JHJHYHQV GLH RS GLW RJHQEOLN ]LMQ RSJHVODJHQ DXWRPDWLVFK RSJHQRPHQ LQ GH VRPPDWLHEHUHNHQLQJHQ 8 ZLVW GH VWDWLVWLVFKH UHJLVWHUV GRRU RS WH GUXNNHQ 'H GLVSOD\ ZRUGW GDQ HYHQHHQV JHZLVW
Bj
7: Statistische berekeningen
87
Statistische gegevens invoeren
8 NXQW HHQ RQEHJUHQVG DDQWDO ZDDUGHQ LQ GH VWDWLVWLVFKH UHJLVWHUV YHU]DPHOHQ
Statistieken met n variabele
8 JDDW DOV YROJW WH ZHUN ELM KHW LQYRHUHQ YDQ GH [JHJHYHQV ELM VWDWLVWLHNHQ PHW ppQ YDULDEHOH :LV GH VWDWLVWLVFKH UHJLVWHUV GRRU RS WH GUXNNHQ 9RHU GH HHUVWH ZDDUGH LQ HQ GUXN RS 'H +3 %, , WRRQW Q KHW DDQWDO YHU]DPHOGH JHJHYHQV *D YHUGHU PHW KHW WRHYRHJHQ YDQ ZDDUGHQ GRRU GH JHWDOOHQ LQ WH YRHUHQ HQ RS WH GUXNNHQ 'H QZDDUGH ZRUGW ELM LHGHUH LQYRHU YHUKRRJG
Bj e
e
Statistieken met twee variabelen en gewogen gemiddelde
8 YRHUW DOV YROJW [\ SDUHQ YDQ VWDWLVWLVFKH JHJHYHQV LQ :LV GH VWDWLVWLVFKH UHJLVWHUV GRRU RS WH GUXNNHQ 9RHU GH HHUVWH [ZDDUGH LQ HQ GUXN RS 'H +3 %, , JHHIW GH [ ZDDUGH ZHHU 9RHU GH RYHUHHQNRPVWLJH \ZDDUGH LQ HQ GUXN RS 'H +3 %, , JHHIW Q KHW DDQWDO YHU]DPHOGH SDUHQ ZHHU *D YHUGHU PHW KHW LQYRHUHQ YDQ [\SDUHQ 'H QZDDUGH ZRUGW ELM LHGHUH LQYRHU YHUKRRJG
Bj H
e
8 YRHUW JHJHYHQV YRRU KHW EHUHNHQHQ YDQ KHW JHZRJHQ JHPLGGHOGH LQ GRRU LHGHUH ZDDUGH DOV [ LQ WH YRHUHQ HQ GH RYHUHHQNRPVWLJH ZHJLQJVFRsIILFLsQW DOV \
Als door de statistische gegevens de waarde in een register groter wordt dan 9, 99999999999 10499, toont de HP C9730A een tijdelijke overflow melding (OFLO).
88
7: Statistische berekeningen
Statistische gegevens verbeteren
2QMXLVW LQJHYRHUGH JHJHYHQV NXQQHQ YHUZLMGHUG ZRUGHQ PHW $OV ppQ YDQ GH ZDDUGHQ YDQ HHQ [\SDDU RQMXLVW LV PRHW X EHLGH ZDDUGHQ YHUZLMGHUHQ HQ RSQLHXZ LQYRHUHQ
Bd
Verbeteren van gegevens bestaande uit n variabele
+HW YHUZLMGHUHQ HQ RSQLHXZ LQYRHUHQ YDQ VWDWLVWLVFKH JHJHYHQV JDDW DOV YROJW 7RHWV GH [ZDDUGH LQ GLH YHUZLMGHUG PRHW ZRUGHQ 'UXN RS RP GH ZDDUGH WH YHUZLMGHUHQ 'H QZDDUGH ZRUGW PHW ppQ YHUPLQGHUG 9RHU GH MXLVWH ZDDUGH LQ PHW
Bd
e
Verbeteren van gegevens bestaande uit twee variabelen
+HW YHUZLMGHUHQ HQ RSQLHXZ LQYRHUHQ YDQ [\ SDUHQ VWDWLVWLVFKH JHJHYHQV JDDW DOV YROJW 9RHU GH [ZDDUGH LQ GUXN RS HQ YRHU YHUYROJHQV GH \ZDDUGH LQ 'UXN RS RP GH ZDDUGHQ WH YHUZLMGHUHQ 'H QZDDUGH ZRUGW PHW ppQ YHUPLQGHUG 9RHU KHW MXLVWH [\ SDDU LQ PHW HQ
Bd
H
H e
7: Statistische berekeningen
89
Samenvatting van statistische berekeningen
6RPPLJH IXQFWLHV OHYHUHQ WZHH ZDDUGHQ RS 'H STATLQGLFDWRU JHHIW DDQ GDW WZHH ZDDUGHQ ]LMQ EHUHNHQG 'UXN RS RP GH YHUERUJHQ ZDDUGH WH ]LHQ
Bi
B6 Bi
Toetsen
Beschrijving
Bi naar display
*HPLGGHOGH YDQ GH \ ZDDUGHQ DOV X \ZDDUGHQ KHEW LQJHYRHUG
5HNHQNXQGLJ JHPLGGHOGH YDQ GH [ ZDDUGHQ *HPLGGHOGH YDQ GH [ ZDDUGHQ JHZRJHQ YROJHQV GH \ZDDUGHQ
BX Bw BQ [ZDDUGH BR BR
\ZDDUGH
6WHHNSURHIVWDQGDDUGGHYL 6WHHNSURHIVWDQGDDUGGHYL DWLH YDQ GH [ZDDUGHQ
DWLH YDQ GH \ZDDUGHQ DOV X \ZDDUGHQ KHEW LQJHYRHUG
3RSXODWLHVWDQGDDUGGHYLD 3RSXODWLHVWDQGDDUGGHYLD WLH YDQ GH [ZDDUGHQ
WLH YDQ GH \ZDDUGHQ DOV X \ZDDUGHQ KHEW LQJHYRHUG
%HQDGHULQJ YDQ [ ELM HHQ &RUUHODWLHFRsIILFLsQW JHJHYHQ ZDDUGH YDQ \ %HQDGHULQJ YDQ \ ELM HHQ JHJHYHQ ZDDUGH YDQ [ 5LFKWLQJVFRsIILFLsQW P YDQ GH EHUHNHQGH OLMQ
VQLMSXQW PHW GH \DV E YDQ 5LFKWLQJVFRsIILFLsQW P GH EHUHNHQGH OLMQ YDQ GH EHUHNHQGH OLMQ
9rrrxrshqhhqqrvhvrthhrhvqhqrtrtrrrrrrxrsvwhrrtrrrr yyrqvtrrhryvthtrtrr7vwqryhvrhqhhqqrvhvrqr hvtrthhqhqrtrtrr tryvwxvwhhqrtruryryhvr
9rpryhvrpsssvpvsvrrtrhyqhrò r yvtrqhhhtrrsurhxrvtqrirrxrqryvw qrtrtrrirhqr@rhhqrh trrsrryxrvvrrpryhvrrò trrsrryxr rthvrrpryhvrhh@rhhqrqvrvqrihyyvttrrshhqhqryvwtrrtrqrirhqrvtv
90
7: Statistische berekeningen
AC AY Aa A Ag Af
Toetsen
Beschrijving
$DQWDO LQJHYRHUGH JHJHYHQVSXQWHQ 6RP YDQ GH [ZDDUGHQ 6RP YDQ GH \ZDDUGHQ 6RP YDQ GH NZDGUDWHQ YDQ GH [ZDDUGHQ 6RP YDQ GH NZDGUDWHQ YDQ GH \ZDDUGHQ 6RP YDQ GH SURGXFWHQ YDQ GH [ DQG \ ZDDUGHQ
Gemiddelde, standaarddeviatie en sommatiestatistieken
8 NXQW KHW JHPLGGHOGH [ GH VWHHNSURHIVWDQGDDUGGHYLDWLH 6[ HQ SRSXODWLHVWDQGDDUGGHYLDWLH [ HQ VRPPDWLHVWDWLVWLHNHQ Q [ HQ [ YDQ [JHJHYHQV EHUHNHQHQ 9RRU GH [\ JHJHYHQV NXQW X RRN KHW JHPLGGHOGH GH VWHHNSURHIVWDQGDDUGGHYLDWLH HQ GH SRSXODWLHVWDQGDDUGGHYLDWLH YDQ \JHJHYHQV HQ GH VRPPDWLHVWDWLVWLHNHQ \ \ HQ [\ EHUHNHQHQ
Voorbeeld 1. 'H NDSLWHLQ YDQ HHQ MDFKW ZLO EHSDOHQ KRHYHHO WLMG KHW NRVW
RP HHQ ]HLO WH YHUZLVVHOHQ =LM NLHVW KLHUYRRU ]HV ZLOOHNHXULJH OHGHQ YDQ KDDU EHPDQQLQJ REVHUYHHUW KHQ ELM KHW ZLVVHOHQ YDQ KHW ]HLO HQ VFKULMIW KHW EHQRGLJGH DDQWDO PLQXWHQ RS %HUHNHQ KHW JHPLGGHOGH HQ GH VWDQGDDUGGHYLDWLH YDQ GH WLMGHQ %HUHNHQ RRN GH ZRUWHO XLW KHW JHPLGGHOGH YDQ GH NZDGUDWHQ PHW GH IRUPXOH x 2 / n
Toetsen:
Bj "#e "e e !#e !#e
Display:
0, 00 1, 00 2, 00 3, 00 4, 00 5, 00
Beschrijving:
:LVW VWDWLVWLVFKH UHJLVWHUV 9RHUW GH HHUVWH WLMG LQ 9RHUW GH WZHHGH WLMG LQ 9RHUW GH GHUGH WLMG LQ 9RHUW GH YLHUGH WLMG LQ 9RHUW GH YLMIGH WLMG LQ
7: Statistische berekeningen 91
!%#e B6 BX A dAC 1B
6, 00 3, 50 0, 85 77, 13 6, 00 3, 59
9RHUW GH ]HVGH WLMG LQ %HUHNHQW KHW JHPLGGHOGH %HUHNHQW GH VWHHNSURHI VWDQGDDUGGHYLDWLH *HHIW [ ZHHU *HHIW Q ZHHU %HUHNHQW KHW NZDGUDWLVFK JHPLGGHOGH
'H VWDQGDDUGGHYLDWLHV GLH ]LMQ EHUHNHQG PHW HQ ]LMQ GH VWHHNSURHIVWDQGDDUGGHYLDWLHV +LHUELM ZRUGW DDQJHQRPHQ GDW KHW RP HHQ JURWHUH YROOHGLJH YHU]DPHOLQJ YDQ JHJHYHQV JDDW
BX Bi
BX
$OV GH JHJHYHQV GH JHKHOH SRSXODWLH YHUWHJHQZRRUGLJHQ NDQ GH ZHUNHOLMNH SRSXODWLHVWDQGDDUGGHYLDWLH ZRUGHQ HQ WH GUXNNHQ EHUHNHQG GRRU RS
Bw BwBi
Voorbeeld 2. 'H FRDFK KHHIW YLHU QLHXZH VSHOHUV LQ KHW WHDP GLH
HQ FP ODQJ ]LMQ HQ HQ NJ ZHJHQ %HUHNHQ KHW JHPLGGHOGH HQ GH SRSXODWLHVWDQGDDUGGHYLDWLH YDQ KXQ OHQJWH HQ JHZLFKW HQ VRPPHHU YHUYROJHQV GH \ZDDUGHQ
Toetsen:
Bj '!H'e & H&e %%H&!e &#H%%e B6 Bi
Display:
0, 00 1, 00 2, 00 3, 00 4, 00 184, 25 82, 75
Beschrijving:
:LVW VWDWLVWLVFKH UHJLVWHUV 9RHUW GH OHQJWH HQ KHW JHZLFKW YDQ VSHOHU LQ 9RHUW GH OHQJWH HQ KHW JHZLFKW YDQ VSHOHU LQ 9RHUW GH OHQJWH HQ KHW JHZLFKW YDQ VSHOHU LQ 9RHUW GH OHQJWH HQ KHW JHZLFKW YDQ VSHOHU LQ %HUHNHQW KHW JHPLGGHOGH YDQ GH OHQJWHV [ *HHIW KHW JHPLGGHOGH YDQ GH JHZLFKWHQ ZHHU \
92
7: Statistische berekeningen
Bw Bi Aa
5, 80
4, 71
331, 00
%HUHNHQW GH SRSXODWLHV WDQGDDUGGHYLDWLH YDQ GH OHQJWHV [ *HHIW GH SRSXODWLHVWDQGDDUGGHYLDWL H YDQ GH JHZLFKWHQ ZHHU \ *HHIW KHW WRWDDO YDQ \ ZHHU
Lineaire regressie en benadering
/LQHDLUH UHJUHVVLH LV HHQ VWDWLVWLVFKH PHWKRGH YRRU KHW PDNHQ YDQ EHQDGHULQJHQ HQ YHUZDFKWLQJHQ 'H PHWKRGH ZRUGW JHEUXLNW RP HHQ UHFKWH OLMQ WH YLQGHQ GLH ]R JRHG PRJHOLMN GRRU HHQ YHU]DPHOLQJ [\JHJHYHQV JHWURNNHQ NDQ ZRUGHQ (U PRHWHQ WHQPLQVWH WZHH YHUVFKLOOHQGH [\ SDUHQ ]LMQ 'H UHFKWH OLMQ JHHIW GH UHODWLH WXVVHQ GH [ HQ \ YDULDEHOHQ ZHHU \ P[ E ZDDUELM P GH ULFKWLQJVFRsIILFLsQW LV HQ E KHW VQLMSXQW PHW GH \DV
Lineaire regressie. %HUHNHQ P E HQ U GH FRUUHODWLHFRsIILFLsQW DOV YROJW
:LV GH VWDWLVWLVFKH UHJLVWHUV GRRU RS WH GUXNNHQ 9RHU GH HHUVWH [ZDDUGH LQ HQ GUXN RS 'H +3 %, , JHHIW GH [ ZDDUGH ZHHU 9RHU GH RYHUHHQNRPVWLJH \ZDDUGH LQ HQ GUXN RS 'H +3 %, , JHHIW Q KHW DDQWDO YHU]DPHOGH SDUHQ ZHHU *D YHUGHU PHW KHW LQYRHUHQ YDQ [\SDUHQ 'H QZDDUGH ZRUGW ELM LHGHUH LQYRHU YHUKRRJG 8 YLQGW E KHW VQLMSXQW PHW GH \DV GRRU RS WH GUXNNHQ 9HUYROJHQV GUXNW X RS RP P GH ULFKWLQJVFRsIILFLsQW YDQ GH OLMQ WH NULMJHQ 8 YLQGW U GH FRUUHODWLHFRsIILFLsQW GRRU RS WH GUXNNHQ
Bj H
e
Bi
BR
BQBi
7: Statistische berekeningen
93
Lineaire benadering. 'H UHFKWH OLMQ GLH GRRU OLQHDLUH UHJUHVVLH LV EHUHNHQG NDQ ZRUGHQ JHEUXLNW RP HHQ EHQDGHULQJ YDQ HHQ \ZDDUGH WH YLQGHQ ELM HHQ JHJHYHQ [ZDDUGH HQ RPJHNHHUG 9RHU GH [\ JHJHYHQV LQ YROJHQV GH LQVWUXFWLHV RS SDJLQD 9RHU GH EHNHQGH [ZDDUGH RI \ZDDUGH LQ n $OV X HHQ EHQDGHULQJ YDQ [ ZLOW KHEEHQ YRRU GH JHJHYHQ \ YRHUW X GH \ZDDUGH LQ HQ GUXNW X YHUYROJHQV RS n $OV X \ ZLOW EHQDGHUHQ YRRU HHQ JHJHYHQ [ YRHUW X GH [ZDDUGH LQ HQ GUXNW X YHUYROJHQV RS
BQ
BR
Voorbeeld: verwachtingen $OLV $]DOHDV PDDNW UHFODPH RS HHQ SODDWVHOLMN UDGLRVWDWLRQ *HGXUHQGH GH DIJHORSHQ ]HV ZHNHQ KHHIW GH EDDV ELMJHKRXGHQ KRHYHHO PLQXWHQ UHFODPH HU JHNRFKW ZHUGHQ HQ KRHYHHO D]DOHDV HU GLH ZHHN ]LMQ YHUNRFKW Week Minuten reclame (x-waarden) Verkoop (y-waarden)
%HUHNHQ KHW VQLMSXQW PHW GH \DV GH ULFKWLQJVFRsIILFLsQW HQ GH FRUUHODWLHFRsIILFLsQW
94
7: Statistische berekeningen
y 3. 000, 00
(verwachtingen)
2. 000, 00
Verkoop ($)
m = 425, 88
1. 000, 00 b x 1 2 3 4 5 6 7 8
Minuten reclame
Toetsen:
Bj H"e H' e !He #H $#e #H &'e "H e BR Bi BQBi
Display:
0, 00 1, 00
Beschrijving:
:LVW VWDWLVWLVFKH UHJLVWHUV 9RHUW PLQXWHQ HQ YHUNRRS LQ YRRU GH DFKWHUHHQYRO JHQGH ZHNHQ
2, 00 3, 00 4, 00 5, 00 6, 00 376, 25 425, 88 0, 90
%HUHNHQW KHW VQLMSXQW PHW GH \DV E *HHIW GH ULFKWLQJVFRsI ILFLsQW ZHHU %HUHNHQW GH FRUUH ODWLHFRsIILFLsQW
7: Statistische berekeningen
95
0DDNW HHQ VFKDWWLQJ YDQ KHW YHUNRRSFLMIHU DOV KHW EHGULMI RI PLQXWHQ UHFODPH NRRSW
%BR &BR
3. 357, 38
3. 783, 25
0DDNW HHQ VFKDWWLQJ YDQ KHW YHUNRRSFLMIHU DOV PLQXWHQ UHFODPH ZRUGHQ JHNRFKW 0DDNW HHQ VFKDWWLQJ YDQ KHW YHUNRRSFLMIHU DOV PLQXWHQ UHFODPH ZRUGHQ JHNRFKW
+RHYHHO PLQXWHQ UHFODPH PRHW $OLV NRSHQ RP HHQ YHUNRRSFLMIHU YDQ WH EHKDOHQ"
!BQ
6, 16
0DDNW HHQ VFKDWWLQJ YDQ KHW DDQWDO PLQXWHQ UHFODPH QRGLJ YRRU HHQ YHUNRRSFLMIHU YDQ
Gewogen gemiddelde
2S GH YROJHQGH PDQLHU ZRUGW KHW JHZRJHQ JHPLGGHOGH YDQ JHJHYHQVSXQWHQ EHUHNHQG [ [ [Q PHW ELMEHKRUHQGH ZHJLQJVFRsIILFLsQWHQ \ \ \Q *HEUXLN HQ RP [\SDUHQ LQ WH YRHUHQ 'H \ZDDUGHQ ]LMQ GH JHZLFKWHQ YDQ GH [ZDDUGHQ 'UXN RS
Voorbeeld. %LM HHQ RQGHU]RHN QDDU GH KXXUSULMV YDQ HHQNDPHUIODWV EOLMNW GDW IODWV YHUKXXUG ZRUGHQ YRRU KXXU SHU PDDQG YRRU YRRU HQ YRRU :DW LV GH JHPLGGHOGH KXXUSULMV SHU PDDQG"
He Bi
96
7: Statistische berekeningen
Toetsen:
Bj #H#"e ##H!e #H&&e #$H' e Bi
Display:
0, 00 1, 00
Beschrijving:
2, 00
3, 00
4, 00
509, 44
:LVW KHW VWDWLVWLVFKH JHKHXJHQ 9RHUW GH HHUVWH KXXU HQ KHW GDDUELM EHKRUHQGH JHZLFKW LQ 9RHUW GH WZHHGH KXXU HQ KHW GDDUELM EHKRUHQGH JHZLFKW LQ 9RHUW GH GHUGH KXXU HQ KHW GDDUELM EHKRUHQGH JHZLFKW LQ 9RHUW GH YLHUGH KXXU HQ KHW GDDUELM EHKRUHQGH JHZLFKW LQ %HUHNHQW KHW JHZRJHQ JHPLGGHOGH
7: Statistische berekeningen
97
8
Extra voorbeelden
Economische toepassingen
Het vaststellen van een verkoopprijs
(HQ PHWKRGH YRRU KHW YDVWVWHOOHQ YDQ GH YHUNRRSSULMV SHU HHQKHLG LV KHW EHSDOHQ YDQ GH SURGXFWLHNRVWHQ SHU HHQKHLG HQ GH]H WH YHUPHQLJYXOGLJHQ PHW KHW JHZHQVWH UHQGHPHQW 2P WRW HHQ QDXZNHXULJ UHVXOWDDW WH NRPHQ PRHW X DOOH NRVWHQ GLH DDQ KHW SURGXFW ]LMQ YHUERQGHQ YDVWVWHOOHQ 0HW GH YROJHQGH IRUPXOH ZRUGW GH SULMV SHU HHQKHLG EHUHNHQG RS EDVLV YDQ GH WRWDOH NRVWHQ HQ KHW UHQGHPHQW
35, -6 727$/( . 267 $$17$/ ((1+('(1 571
Voorbeeld. +HW NRVW RP HHQKHGHQ WH SURGXFHUHQ 8 ZLOW
UHQGHPHQW :HONH SULMV PRHW X SHU HHQKHLG YUDJHQ"
Display:
40, 000. 00 20, 00 24, 00
"d 4 BB d 1
Toetsen:
Beschrijving:
9RHUW GH NRVWHQ LQ %HUHNHQW GH NRVWHQ SHU HHQKHLG %HUHNHQW GH YHUNRRSSULMV SHU HHQKHLG
8: Extra voorbeelden
99
Verwachtingen gebaseerd op historische gegevens
(HQ PHWKRGH YRRU KHW EHSDOHQ YDQ YHUNRRSYHUZDFKWLQJHQ SURGXFWLHNRVWHQ RI XLWJDYHQ LV KHW EHNLMNHQ YDQ KLVWRULVFKH WHQGHQVHQ $OV X KLVWRULVFKH JHJHYHQV KHEW NDQ KLHUGRRU HHQ NURPPH JHWURNNHQ ZRUGHQ ZDDUELM GH WLMG ODQJV GH [DV ORRSW HQ GH KRHYHHOKHLG ODQJV GH \ DV
Voorbeeld. :DW LV KHW YHUZDFKWH YHUNRRSFLMIHU LQ MDDU ]HV HQ ]HYHQ JHJHYHQ GH YROJHQGH YHUNRRSLQIRUPDWLH" Jaar
1 2 3 4 5
Verkoop $
10. 000 11. 210 13. 060 16. 075 20. 590
Bj He H e !H!$e "H$%#e #H #'e $BR
Toetsen:
Display:
0, 00 1, 00 2, 00 3, 00 4, 00 5, 00 22. 000, 50
Beschrijving:
:LVW GH VWDWLVWLVFKH UHJLVWHUV 9RHUW KHW HHUVWH MDDU LQ HQ KHW YHUNRRSFLMIHU 9RHUW GH JHJHYHQV YDQ KHW WZHHGH MDDU LQ *DDW YHUGHU PHW KHW LQYRHUHQ YDQ JHJHYHQV
%BR
24. 605, 00
9HUZDFKWH YHUNRRSFLMIHU YRRU MDDU ]HV 9HUZDFKWH YHUNRRSFLMIHU YRRU MDDU ]HYHQ
100 8: Extra voorbeelden
Kosten indien niet contant wordt betaald
(HQ NRSHU NULMJW NRUWLQJ ELM FRQWDQWH EHWDOLQJ DOV GH EHWDOLQJ ELQQHQ HHQ EHSDDOGH SHULRGH SODDWVYLQGW %LMYRRUEHHOG GH YHUPHOGLQJ 1(7 RS GH IDFWXXU EHWHNHQW GDW GH NRSHU SURFHQW NDQ DIWUHNNHQ DOV GH EHWDOLQJ ELQQHQ GDJHQ SODDWVYLQGW $OV GH EHWDOLQJ QLHW ELQQHQ GDJHQ SODDWVYLQGW PRHW KHW JHKHOH EHGUDJ YRRU GH VWH GDJ EHWDDOG ]LMQ 0HW GH IRUPXOH KLHURQGHU NXQW X EHUHNHQHQ ZDW KHW X NRVW DOV X JHHQ JHEUXLN PDDNW YDQ NRUWLQJ ELM FRQWDQWH EHWDOLQJ 'H NRVWHQ ZRUGHQ EHUHNHQG DOV HHQ MDDUOLMNVH UHQWH GLH YRRU KHW XLWVWHOOHQ YDQ GH EHWDOLQJ LQ UHNHQLQJ ZRUGW JHEUDFKW . 267 . 257 = ------------------------------------------------------------------------------------------------------------------------( ( . 257 ) (727 '*1 . 257 '*1) )
. 257 LV KHW NRUWLQJVSHUFHQWDJH DOV GH EHWDOLQJ YURHJ ZRUGW JHGDDQ 727 '*1 LV WKH WRWDO QXPEHU RI GD\V XQWLO WKH ELOO PXVW EH SDLG . 257 '*1 LV KHW DDQWDO GDJHQ GDW GH NRUWLQJ EHVFKLNEDDU LV
Voorbeeld. 8 RQWYDQJW HHQ UHNHQLQJ PHW GH YRRUZDDUGHQ 1(7 :DW NRVW KHW X DOV X JHHQ JHEUXLN PDDNW YDQ GH NRUWLQJVPRJHOLMNKHLG"
4!$4d BB B
Toetsen:
Display:
72. 000, 00 98, 00
Beschrijving:
4B!1
36, 73
%HUHNHQW GH WHOOHU YDQ GH IRUPXOH +DDNMHV EHSDOHQ GH YROJRUGH YDQ EHUHNHQLQJ %HUHNHQW GH NRVWHQ YDQ KHW QLHW JHEUXLNPDNHQ YDQ GH NRUWLQJ DOV HHQ MDDUOLMNV SHUFHQWDJH
8: Extra voorbeelden 101
Leningen en hypotheken
Enkelvoudige jaarlijkse rente
Voorbeeld. [. . . ] 8 KHEW GH DIJHORSHQ WZHH MDDU GH
YROJHQGH VWRUWLQJHQ JHGDDQ LQ HHQ JHOGPDUNWIRQGV GDW :DW LV KHW KXLGLJH VDOGR YDQ XZ UHNHQLQJ"
RSEUHQJW
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 -3. 000 -12. 000 I/YR = 8, 8% -7. 500 -2. 000 Huidige datum
BEGINLQGLFDWRU
6WHO GH (LQGPRGXV LQ 'UXN RS
By DOV X GH
]LHW
B8 B @D D Bg !@D !Bg D'Bg %#@D
Toetsen:
120 8: Extra voorbeelden
Display:
12, 00 CF0 12. 000, 00 CF1 0, 00 n1 2, 00 CF2 3. 000, 00 n2 3, 00 n3 9, 00 CF4 7. 500, 00
Beschrijving:
:LVW DOOH UHJLVWHUV 6WHOW KHW DDQWDO EHWDOLQJHQ SHU MDDU LQ 9RHUW GH HHUVWH FDVKIORZ LQ 9RHUW KHW EHGUDJ LQ YDQ JURHS 9RHUW LQ KRH YDDN GH EHWDOLQJ YRRUNRPW 9RHUW KHW EHGUDJ LQ YDQ JURHS 9RHUW LQ KRH YDDN GH EHWDOLQJ YRRUNRPW 9RHUW LQ KRH YDDN GH EHWDOLQJ YRRUNRPW 9RHUW FDVKIORZJURHS LQ
D!Bg @D &&F Bx " P G
n5 3, 00 CF6 2. 000, 00 8, 80 29. 203, 14
9RHUW LQ KRH YDDN GH EHWDOLQJ YRRUNRPW 9RHUW FDVKIORZJURHS LQ 6ODDW GH MDDUOLMNVH UHQWHYRHW RS %HUHNHQW GH QHWWR FRQWDQWH ZDDUGH 139 GLH DXWRPDWLVFK DOV 39 ZRUGW RSJHVODJHQ 6ODDW GH EHNHQGH ZDDUGHQ RS %HUHNHQW GH QHWWR WRHNRPVWLJH ZDDUGH
24, 00 0, 00 34. 800, 58
8: Extra voorbeelden 121
A
Hulp, Batterijen en Service
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
Antwoorden op de meest voorkomende vragen
Q: :HUNW GH FDOFXODWRU JRHG RI GRH LN ]HOI LHWV YHUNHHUG" +RH NDQ LN
YDVWVWHOOHQ RI GH FDOFXODWRU JRHG ZHUNW"
A: =LH 9DVWVWHOOHQ RI GH FDOFXODWRU VHUYLFH QRGLJ KHHIW RS SDJLQD Q: , Q PLMQ JHWDOOHQ VWDDQ NRPPDV LQ SODDWV YDQ SXQWHQ RP GH GHFLPDOHQ
DDQ WH JHYHQ +RH NDQ LN GH SXQWHQ WHUXJNULMJHQ"
A: 'UXN RS
* SDJLQD
Q: +RH NDQ LN KHW DDQWDO GHFLPDOHQ YHUDQGHUHQ GDW GH +3 %, , LQ GH
GLVSOD\ WRRQW" SDJLQD
A: 'UXN RS
* JHYROJG GRRU KHW DDQWDO GHFLPDOHQ GDW X ZHQVW
A: Hulp, Batterijen en Service 123
Q: :DW EHWHNHQW HHQ ( LQ HHQ JHWDO ELMYRRUEHHOG ("
:HWHQVFKDSSHOLMNH QRWDWLH RS SDJLQD
A: ([SRQHQW YDQ WLHQ ELMYRRUEHHOG =LH
Q: :DDURP NULMJ LN YHUNHHUGH DQWZRRUGHQ RI GH PHOGLQJ no SoLution ELM KHW JHEUXLN YDQ 790" A: &RQWUROHHU RI X ELM YLHU YDQ GH YLMI 790 ZDDUGHQ HHQ ZDDUGH KHEW LQJHYRHUG YRRUGDW X GH YLMIGH RSORVW RRN DOV ppQ YDQ GH ZDDUGHQ QXO LV 9HUJHHW QLHW HHQ QXO YRRU RS WH VODDQ DOV X HHQ OHQLQJ YROOHGLJ DIORVW +HW ZLVVHQ YDQ DOOH UHJLVWHUV *& YRRUGDW X XZ EHNHQGH ZDDUGHQ LQYRHUW JHHIW KHW]HOIGH HIIHFW &RQWUROHHU RI GH FDOFXODWRU LQ GH MXLVWH EHWDOLQJVPRGXV VWDDW %HJLQ RI (LQGPRGXV HQ GDW 3<5 MXLVW LV LQJHVWHOG
/
Q: +RH NDQ LN KHW WHNHQ YDQ HHQ JHWDO LQ HHQ OLMVW PHW FDVKIORZV
YHUDQGHUHQ"
A: 8 PRHW GH LQJHYRHUGH FDVKIORZ YHUDQGHUHQ =LH &DVKIORZV EHNLMNHQ HQ YHUYDQJHQ RS SDJLQD Q: :DW EHWHNHQW PEND LQ GH GLVSOD\" A: (HQ UHNHQNXQGLJH EHZHUNLQJ ZRUGW XLWJHYRHUG Q: :DW EHWHNHQW INPUT LQ GH GLVSOD\" A:8 KHEW RS GH
0 WRHWV JHGUXNW SDJLQD
Q: :DDURP LV , 55<5 JURWHU GDQ LN YHUZDFKWWH" A: 'LW LV , 55 SHU MDDU 2P HHQ , 55 SHU SHULRGH WH NULMJHQ PRHW X , 55 <5 GHOHQ GRRU 3<5
124 A: Hulp, Batterijen en Service
Omgevingsfactoren
2P GLW SURGXFW EHWURXZEDDU WH ODWHQ ZHUNHQ PRHW X YHUPLMGHQ GDW GH FDOFXODWRU QDW ZRUGW HQ PRHW X GH YROJHQGH OLPLHWHQ TXD WHPSHUDWXXU HQ YRFKWLJKHLG LQ DFKW QHPHQ n 7HPSHUDWXXU ELM JHEUXLN WRW & WRW ) n %HZDDUWHPSHUDWXXU WRW & WRW ) n 9RFKWLJKHLG ELM JHEUXLN HQ RSVODJ UHODWLHYH YRFKWLJKHLG ELM PD[LPDDO & )
Geluidssterkte. , Q GH QRUPDOH KRXGLQJ ELM QRUPDDO JHEUXLN SHU , 62
/S$ G%
Voeding en Batterijen
'H FDOFXODWRU ZRUGW JHYRHG GRRU WZHH YROW OLWKLXPNQRRSFHOEDWWHULMHQ *HEUXLN HQNHO QLHXZH NQRRSFHOEDWWHULMHQ DOV X GH EDWWHULMHQ YHUYDQJW %HLGH EDWWHULMHQ PRHWHQ WHJHOLMN YHUYDQJHQ ZRUGHQ *HEUXLN JHHQ RSODDGEDUH EDWWHULMHQ
Batterij-indicator
$OV GH LQGLFDWRU ]LFKWEDDU LV EHWHNHQW GLW GDW X GH EDWWHULMHQ ]R VSRHGLJ PRJHOLMN PRHW YHUYDQJHQ 'H LQGLFDWRU IOLNNHUW DOV GH VWURRPVWHUNWH WH ODDJ ZRUGW $OV GH EDWWHULMLQGLFDWRU DDQJDDW HQ GH GLVSOD\ ]ZDNNHU ZRUGW YHUOLFKW NDQ KHW ]LMQ GDW X JHJHYHQV NZLMWUDDNW $OV JHJHYHQV YHUORUHQ JDDQ WHQ JHYROJH YDQ WH ODJH VWURRPVWHUNWH ]LHW X GH PHOGLQJ All Clear
Batterijspecificaties
8Z +3FDOFXODWRU JHEUXLNW WZHH OLWKLXPEDWWHULMHQ &5
A: Hulp, Batterijen en Service 125
Batterijen plaatsen
=RUJ GDW X WZHH QLHXZH &5 EDWWHULMHQ KHEW 5DDN EDWWHULMHQ HQNHO DDQ GH UDQG DDQ 9HHJ HONH EDWWHULM VFKRRQ PHW HHQ QLHW SOXL]HQGH GRHN RP YXLO HQ YHW WH YHUZLMGHUHQ &RQWUROHHU RI GH FDOFXODWRU XLW VWDDW 8 YHUOLHVW GH LQKRXG YDQ KHW JHKHXJHQ DOV X GH EDWWHULMHQ YHUYDQJW VFKULMI GXV GH JHJHYHQV RS GLH X RSJHVODJHQ KHEW HQ QRGLJ KHEW YRRU ODWHU JHEUXLN 'UDDL GH FDOFXODWRU RP HQ YHUZLMGHU GH NOHS YDQ GH EDWWHULMKRXGHU
Toegang tot de batterijhouder
9HUZLMGHU EHLGH EDWWHULMHQ
Gevaar voor explosie indien batterij niet correct wordt vervangen. Vervang de batterij enkel met een zelfde of gelijksoortig type, zoals aangeraden door de fabrikant. Gooi de gebruikte batterijen weg volgens de instructies van de fabrikant. [. . . ]