σ=2.49
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2.738612788 First, find the mean (average) of all the numbers: 1+2+3+4+5+6+7+8+9 = 45 45 / 9 = 5 Mean is 5 Now take every number and calculate how far it is away from the mean, then square that number 1-5 = -4 ^2 = 16 2-5 = -3 ^2 = 9 3-5 = -2 ^2 = 4 4-5 = -1 ^2 = 1 5-5 = 0 ^2 = 0 6-5 = 1 ^2 = 1 7-5 = 2 ^2 = 4 8-5 = 3 ^2 = 9 9-5 = 4 ^2 = 16 Next, add all the results: 16+9+4+1+0+1+4+9+16 = 60 Then divide by the sample size minus 1 (n-1): 60 / 8 = 7.5 Finally, find the square root of that number: 7.5^ 0.5 = 2.738612788 Answer: 2.738612788
2/9 + 1/3 = 2/9 + 3/9 - Note the equivalence of the fraction 1/3 & 3/9 Add the numerators 5/9 The Answer . 5/9 = 0.555.... ( recurring to infinity as a decimal).
1+4+1+5+9+2+6+5+3+5+8+9+7+9+3+2+3+8+4+6+2+6+4+3+3+8+3+2+7+9+5+0+2+8+8+4+1+9+7+1+6+9+3+9+9+3+7+5+1+0+5+8+2+0+9+7+4+9+4+4+5+9+2+3+0+7+8+1+6+4+0+6+2+8+6
2*9 - 5 = 18 - 5 = 13
The standard form is Ax + By = C. The slope of the line is (9-7)/(-2 - (-2)) or 2/0. This indicates that this is a vertical line whose x intercept is -2. The equation of the line is then x = -2.