Answer:
1191.4 ; 34.5
Step-by-step explanation:
Given the data:
29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150
The sample variance and standard deviation can be obtained thus :
Σ(X - m)² / (n - 1)
Where, m = mean of the sample
n = sample size
The standard deviation equals, sqrt(variance )
Using a calculator:
The variance, σ² ;
Mean = Σx / n = 1681 / 20 = 84.05
(x -m)^2
[(29-84.05)^2 + (37-84.05)^2 + (38-84.05)^2 + (40-84.05)^2 + (58-84.05)^2 + (67-84.05)^2 + (68-84.05)^2 + (69-84.05)^2 + (76-84.05)^2 + (86-84.05)^2 + (87-84.05)^2 + (95-84.05)^2 + (96-84.05)^2 + (96-84.05)^2 + (99-84.05)^2 + (106-84.05)^2 + (112-84.05)^2 + (127-84.05)^2 + (145-84.05)^2 + (150-84.05)^2] / 19
22636.95 / 19
= 1191.4184 = 1191.42
Standard deviation = sqrt( Variance)
Standard deviation = sqrt(1191.4184)
Standard deviation = 34.516929 = 34.52
Answer:
2
Step-by-step explanation:
4x² + 33 x + 37 = (4 x + 5) × (x + 7) + 2
Well, A linear relationship has to be a straight line and a proportional relationship has to go through the origin! Hope that's a good hint!
Answer:
Step-by-step explanation:
Military Time 0658 is: 06:58 AM using 12-hour clock notation, 06:58 using 24-hour clock notation.
The answer is ou need to rewrite the equation to make it easy... and let it equal zero
<span>2<span>x2</span>−8x+4=0</span>
which will become
<span>2(<span>x2</span>−4x+2)=0</span>
you need to solve
<span><span>x2</span>−4x+2=0</span><span>
by completing the square or the general quadratic formula.</span>
