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 .
Interest equals principle (the amount that you had to begin with) times the rate (the rate if interest) times the time (usually in years)
Answer:
x=3,5
Explanation:
x2−8x+15=0
Try to express the terms of the equation in square form.
Adding 16 both sides of the equation,
(x2−2⋅x⋅4+42)+15=16
or,(x−4)2+15−16=0
or,(x−4)2−1=0
or,(x−4)2−12=0
This is the a2−b2=(a+b)(a−b)form.
(x−4+1)(x−4−1)=0
or,(x−3)(x−5)=0
Now, equate both the terms to zero since both of them when multiplied, give zero.
Either,
x−3=0
∴x=3
Or,
x−5=0
∴x=5
Ans:x=3,5 Hope this helpsXD...!!
Answer:
m = - 8 ± 6
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ± 
= ± 
= ± 6
Subtract 8 from both sides
m = - 8 ± 6
