2P 2011 vår LØSNING

Del 1

Oppgave 1

a)

1) $36200=3.62\cdot {10}^4$

2) $0.000642=6.42\cdot {10}^{-4}$

3) $53\text{ millioner}=5.3\cdot {10}^7$

4) $0.034\cdot {10}^{-2}=3.4\cdot {10}^{-4}$

b)

Prosentvis endring	Vekstfaktor
+ 2%	1 + 0,02 = 1,02
- 68 %	1-0,68 = 0,32
-75%	0,25
+ 100%	2

c)

1) $a^4\cdot (a^2{)}^{-3}\cdot a^0=a^4\cdot a^{2\cdot (-3)}\cdot a^0=a^4\cdot a^{-6}\cdot a^0=a^{4-6+0}=a^{-2}$

2) $\frac{2^{-3}\cdot 4^3}{8^2}=\frac{2^{-3}\cdot (2^2{)}^3}{(2^3{)}^2}=\frac{2^{-3}\cdot 2^6}{2^6}=2^{-3}=\frac{1}{8}$

d)

0, 0, 2, 2, 2, 3, 4, 5, 5, 5

1)

Median = <Math>\frac {2+3}{2} = 2,5</Math>

Gjennomsnitt = <Math>\frac {2+2+2+3+4+5+5+5}{10} = 2,8</Math>

2)

Antall Mål	Frekvens	Kumulativ Frekvens
0	2	2
1	0	2
2	3	5
3	1	6
4	1	7
5	3	10

3)

Del 2

Oppgave 3

a)

1)

2)

b)

1)

2)

Oppgave 5

b)

1)

2)

Oppgave 7

a)

1)

2)