: Rechta Kartika Karinta, S.Pd : 19!1"1"#1#1#1 : 1"# % Matematika & Kelas A 'N(ANA
1. )ima )ima orang *emuda *emuda *ergi *ergi +erekreasi +erekreasi menggu menggunak nakan an mo+il. mo+il. Mo+il ang ang digunakan digunakan memilik memilikii dua tem*at tem*at duduk di de*an -termasuk untuk *engemudi dan tiga di +elakang. (ari kelima *emuda terse+ut hana dua orang ang +isa mengemudi. Tentukan +anakna cara mereka duduk di mo+il. mo +il.
Angga* lima orang anak itu adalah A, /, 0, (, Pertama +uat 5 kotak -karena 2umlah tem*at duduk ada 5 Kotak *ertama se+agai tem*at su*ir, +erarti kemungkinan ada orang ang +isa duduk di situ -isi kotak *ertama dengan angka Kotak kedua isi dengan angka ! -1 orang telah duduk di kursi su*ir angga* si A, 2adi *ilihanna tinggal /,0,(, Kotak ketiga isi angka 3, Kotak keem*at isi angka , Kotak kelima isi angka 1. 2
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Kalikan angka%angka *ada kotak. 4adi, +anak cara mengatur tem*at duduk duduk 6 ! 6 3 6 6 1 !" 4adi, +anak cara mereka duduk di mo+il adalah !" cara. cara.
. (alam se+uah kotak +erisi +erisi ! lem+ar lem+ar uang uang R*.5.###,# R*.5.###,##, #, 3 lem+ar lem+ar uang uang R*.1#.###, R*.1#.###,##, ##, dan 3 lem+ar lem+ar uang R*. R*.#. #.## ###, #,## ##.. Seca Secara ra acak acak diam diam+i +ill ! lem+ lem+ar ar uang uang,, tent tentuk ukan an *elu *eluan angg tera teram+ m+il il uang uang se2u se2umla mlah h R*.3#.###,## 4umlah uang R*. 3#.###,##, antara lain : -! lem+ar 6 R* 5.###,## 7 -1lem+ar 6 R* 1#.###,## - lem+ar 6 R* 5.###,## 7 -lem+ar 6 R* 1#.###,## - lem+ar 6 R* 5.###,## 7 -1lem+ar 6 R* #.###,## -3 lem+ar 6 R* 1#.###,##
R* 3#.###,## R* 3#.###,## R* 3#.###,## R* 3#.###,##
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-1lem+ar 6 R* 1#.###,## 7 -1lem+ar 6 R* #.###,## R* 3#.###,## Sehingga n-S 5 4adi, *eluang teram+il ! lem+ar uang se2umlah R* 3#.###,## 3#.###,## adalah
3.
m*a m*att *ela2a *ela2arr *utra *utra dan 3 *ela *ela2a 2arr *utr *utrii akan dudu dudukk secara secara acak acak dala dalam m +angku +angku ang ang meman2 meman2an ang. g. Tentukan *eluang ter2adi susunan duduk *utra mengum*ul dengan *utra dan *utri mengum*ul dengan *utri. Pertama kita +uat 8 kotak -karena 2umlah tem*at duduk ada 8 ! kotak *utra dan 3 kotak *utri sehingga 2 1 ! 6 3 6 6 1 6 3 6 6 1 1!! 4 3 2 1 3 3 kotak *utri dan ! kotak *utra 3
2
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3 6 6 1 6 ! 6 3 6 6 1 1!!
Sehingga +anak susunan adalah 1!! 7 1!! "" n-S 5#!#. 4adi, *eluang adalah
!.
(alam (alam suatu suatu kant kantong ong terda terda*at *at +ola +ola *uti *utih h dan +ola +ola mera merah. h. (iam+ (iam+il il satu satu +ola +ola seca secara ra acak acak dan dan +ola ang teram+il dicatat. Setelah itu +ola dikem+alikan ke kantong dan kemudian diam+il lagi satu +ola secara acak. itung *eluang teram+ilna +ola +erlainan ;arna< Total +ola " +ola P-teram+il +ola *utih P-teram+il +ola merah 2adi *eluang *engam+ilan +erlainan ;arna 6
5.
(iketahui nilai tes kemam*uan +ahasa dari 1 sis;a ang mengikuti u2ian se+agai +erikut: 83, 8!, 9, 9", 1##, 8, 85, "9, 5, 8!, 9#, !3. itunglah rata%rata, modus, median, kuartil, dan sim*angan +aku dari data terse+ut. 4elaskan arti dari masing%masing nilai ang Anda hitung terse+ut.
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8" 4adi rata%rata 8" Mengurutkan nilai data: !3, 5, 8, 83, 8!, 8!, 85, "9, 9#, 9, 9", 1## Karena data +eru*a data gena* maka: Median -Med
8!,5 Modus -Mo 8! Kuartil ->
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8,5 8!,5 91
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Misalk Misalkan an ingin ingin dite ditelit litii a*akah a*akah ada ada *enga *engaruh ruh tes tes kemam* kemam*uan uan akad akademi emikk -TPA -TPA terhad terhada* a* nilai nilai matematika, untuk itu diam+il sam*el se+anak 1 anak ang hasilna +erikut.
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Tentukan Persamaan regresi dan u2ilah a*akah ada *engaruh skor TPA terhada* Nilai Matematika, dan u2ilah a*akah *ersamaan regresi ang dida*at +enar%+enar linier. Kemudian ramalkan Nilai Matematika ang di*eroleh 2ika skor tes TPA se+esar 8 Penyelesaian :
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4adi Persamaan regresi linearna adalah :
# : garis regrsina linier 1 : garis linierna tak linier. 'ntuk memudahkan *erhitungan *erhitungan u2i linieritas di*akai di*akai +antuan ta+le ta+le +erikut.
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Ada ! nilai @ ang +er+eda maka k !, sedang data ada 1 maka n 1
2 (94 90 85)2 2 (91 98 87)2 2 2 2 2 94 90 85 91 98 87 3 3
Ta+le analisis Barians untuk u2i linieritas.
Regresi -a
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Tuna cocok
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(engan taraC signiCikan 5D dan dk *em+ilang , *ene+ut " dida*at = ta+le !,!. 4elas = hitung hitung #,189 E = ta+el . ta+el !,!. (engan kata lain # diterima. Kesim*ulan 'ntuk meramalan meramalan nilai matematika matematika 2ika skor TPA se+esar se+esar 8, nilai @8 disu+stitusikan disu+stitusikan ke *ersamaan .
Perhatikan kem+ali (ata *ada No. , tentukan koeCisien korelasina dan u2ilah a*akah ada *engaruh dengan skor TPA terhada* Nilai Matematika
(ari data nomer di*eroleh :
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Tentukan koeCisien korelasi dan tentukan artina Penyelesaian :
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4adi KoeCisien Relasina adalah #, artina artina