HNCB 8 Mathematics for Construction

HNCB 8 MATHEMATICS FOR CONSTRUCTION
By Name
Course
Instructor
Institution
Location
Date

Task 1
Scenario 1
A=26.5; L=w+3.2; w=w
A=LW
w ( w+3.2 ) =26.5
w=−3.2 ± √3.22−4 ×1 ×−26.5
2
¿ 3.2 ± √ 116.24
2
w=3.79 m
L=3.79+3.2=6.99 m
a+ (n-1) d
a+ (5-1)d=4250
a+ (12-1)d=2120
d=304
Daily forfeit=£304
a+4d=4250
d=304
a=4250-(4*304)
a=£3032

Task TWO
Scenario One
0-4 5-9 10-14 15-19 20-29 30-39
0
5
10
15
20
25
30
35
40
45
0 2 4 6 8 10 12
0
50
100
150
200
250
Revenue
Customers

0-4 5-9 10-14 15-19 20-29 30-39
0
10
20
30
40
50
60
70
80
0 2 4 6 8 10 12
0
2
4
6
8
10
12
Revenue
Customers
(c)
Mean=∑ fx/ ∑ f
=1630.5/144=11.323
Range=5 for initial 4 groups and 1o for last two groups
Variance σ2 = ∑ fx2
∑ f −x2
= (26652.25/144)-11.3232