a) 2 (5x-3) = 24
= 10x -6 = 24
= 10x = 24+6
= 10x = 30
= x= 30/10
b) 5 (2x+1) = 50
= 10x+5=50
= 10x = 50-5
= 10x = 45
= x = 45/10
c) (3x+4)/2=9.5
= (3x+4)/2=95/10
( On cross multiplication )
= 10(3x+4) = 2×95
= 30x+40=190
= 30x=190-40
= 30x=150
= x=150/30
(on simplification)
d) (7+2x)/3=5
(On cross multiplication)
= 1(7+2x)=5(3)
= 7+2x=15
= 2x=15-7
= 2x=8
= x=8/2
(on dividing)
Answer:
Standard deviation = 14.064
Step-by-step explanation:
We are given the following data;
X X -
20 20 - 46 = -26 676
23 23 - 46 = - 23 529
32 32 - 46 = -14 196
36 36 - 46 = -10 100
41 41 - 46 = -5 25
43 43 - 46 = -3 9
44 44 - 46 = -2 4
45 45 - 46 = -1 1
47 47 - 46 = 1 1
54 54 - 46 = 8 64
55 55 - 46 = 9 81
59 59 - 46 = 13 169
61 61 - 46 = 15 225
63 63 - 46 = 17 289
66 66 - 46 = 20 <u> 400 </u>
<u>= 2769 </u>
Firstly we will calculate Mean, =
= 45.93 ≈ 46
Now, Standard deviation formula is given by;
s = =
= 14.064 .