# NECO 2017 Further Maths OBJ And Essay/Theory Answer – June/July Expo

**F/Maths Obj:**

**1EBDCAACBAD11DEAECBECBD21DDBDEEBEEB31ACAADEBCED41ABECBBDEED**

F/Maths Theory:

7)

Tabulate

x=4,6,8,10,12

F=2,3,4,5,6,20

Fx=8,18,32,50,72,180

(x-x^-)=-5,-3-,1,1,3

F|x-x^-|^2=25,9,1,1,9

F|x-x^-|^2=50,27,4,5,54,140

mean=£fx/£f=180/20 = 9

Vairance=£f|x-x|^2/£f 140/20=7

standard devaition=sqrvar,sqr7=2.645

F/Maths Theory:

7)

Tabulate

x=4,6,8,10,12

F=2,3,4,5,6,20

Fx=8,18,32,50,72,180

(x-x^-)=-5,-3-,1,1,3

F|x-x^-|^2=25,9,1,1,9

F|x-x^-|^2=50,27,4,5,54,140

mean=£fx/£f=180/20 = 9

Vairance=£f|x-x|^2/£f 140/20=7

standard devaition=sqrvar,sqr7=2.645

8a)

Tabulate 1

Qartence

Bad= 4

Good=5

total 9

Tabulate 2

Qartence R

Bad=5

good=2

total=7

probability of both good

5/9+2/7=35+18/65

53/63

8b)

probability of one is bad due is not

BorG and Bor G

(4/9 * 2/9) or 5/9 * 2/7

8/63+25/63 = 33/63=11/21

2a)

Log2(x-2y)=log2^1

Log2(4y-x)=log2^2

x-2y=1

-x+4y=2

adding eq1&2

2y=3

Y=3/2

put this in (3)

x-2(3/2)=1

x-3=1

x=4 and y=3/2

2b)

r^2=(6-2)^2+(2-(-1)^2

r^2=4^2+3^2

r^2=16+9

r^2=25

r=sqr25

radius=5units

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