2019 Waec Further Mathematics Expo questions and Answers

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F/Maths Obj:
1EBDCAACBAD
11DEAECBECBD
21DDB

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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