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Edu : Waec 2018 Further Mathematics Objectives & Theory Expo Answers

Views: 658 Posts: 1 Started By: oladamats Last Poster: nobledlord Last Post Date: Apr 09, 2018
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Apr 07 ( Post 1 )



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Further Mathematics
FURTHER MATHS OBJ:
1-10BCADDDDDBB
11-20BAABCCDDCC
21-30BCABBAABAB
31-40CBADBDDCAB


: (5)
TABULATE
cooking oil type|a|b|c|d|e|f|g|h
x|8|5|1|7|2|6|3|4
y|6|3|4|8|5|7|1|8
d|2|2|-3|-1|-3|-1|2|2
d²|4|4|9|1|9|1|4|4

£d² = 4+4+9+1+9+1+4+4 = 36

r = 1- 6£d²/n(n²-1)

= 1 - 6×36/8(8²-1)
= 1 - 216/504
= 1 - 0.43
= 0.57

5)x-8,5,1,7,2,6,3,4
y-6,3,4,8,5,7,1,2
solution

Coefficient of Correlation = ∑xy / √(∑x²∑y²)

Where:

x = (X - Mean)

y = (Y - Mean)

Data table
X x x² Y y y²
8 3.5 12.25 6. 1.5. 2.25
5 0.5 0.25 3 -1.5. 2.25
1 -3.5 12.25 4 -0.5 0.25
7 2.5 6.25 8 3.5 12.25
2 -2.5 6.25 5 0.5 0.25
6 1.5 2.25 7 2.5 6.25
3 -1.5 2.25 1 -3.5 12.25
4-0.5 0.25 2 -2.5 6.25

Mean of the set of Data for X = ∑X / N

∑X = 8 + 5 + 1 + 7 + 2 + 6 + 3 + 4

∑X = 36
starlight
Mean of the set of Data for X = 36 / 8

Mean of the set of Data for X = 4.5

Mean of the set of Data for Y = ∑Y / N

∑Y = 6 + 3 + 4 + 8 + 5 + 7 + 1 + 2

∑Y = 36

Mean of the set of Data for Y = 36 / 8

Mean of the set of Data for Y = 4.5

From the Data Analysis we have: 

∑xy = 5.25 + -0.75 + 1.75 + 8.75 + -1.25 + 3.75 + 5.25 + 1.25

∑xy = 24

∑x² = 12.25 + 0.25 + 12.25 + 6.25 + 6.25 + 2.25 + 2.25 + 0.25

∑x² = 42

∑y² = 2.25 + 2.25 + 0.25 + 12.25 + 0.25 + 6.25 + 12.25 + 6.25

∑y² = 42

starlight
Coefficient of Correlation = ∑xy / √(∑x²∑y²)

Coefficient of Correlation = 24 / √(42 x 42)

Coefficient of Correlation = 24 / √(1764)

Coefficient of Correlation = 24 / 42

Coefficient of Correlation = 0.5714

(2)
Log 3x - 3logx³+ 2 = 0
Log 3x - 3log3³/log3x + 2 = 0
Log3x - 3/log3x + 2 = 0
P - 3/p + 2 = 0 where P = log3x
P² - 3 + 2p = 0
P² + 2p - 3 = 0
(p + 3) ( p - 1) = 0
P = -3 OR p = 1
But log3x = p
when p = -3
Log3x = -3
X = 3-³ = 1/27
And when P = 1
Log3x = 1
X = 3¹ = 3
And X = 1/27 OR 3


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03:00 Mon, 09 Apr 2018 ( Post 120 )
100% VERIFIED FURTHER MATHEMATICS OBJ ANSWERS1-10BCADDDDDBB11-20BAABCCDDCC21-30BCABBAABAB31-40CBADBDDCAB

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