Which graph represents y=x-2
2 answers:
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In trigonometry, we start from the point (1,0), so this is the 0-degree point. Then, we start rotating counter clockwise along the unit circle.
Note that rotating 180 or -180 degrees is actually the same, because you travel half the circumference clockwise or counter clockwise. In both cases, you start from the rightmost point of the circle, (1,0), and arrive at the leftmost point, (-1,0).
Now, for every point (x,y) on the unit circle, given by a certain angle , we have
So, in this case, the angle of -180 is associated with the point (-1,0), and thus we have
Answer:
a) Mean = $121
Sum of deviations = $0
b) Standard deviation = 41.19
Variance = 1696.67
Range = $120
Step-by-step explanation:
We are given the following data:
$91 , $176 , $108 , $115 , $56 , $157 , $144
a) Mean and sum of deviations
Sum of deviations =
-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0
The sum of deviations is zero dollars.
b) range, variance, and standard deviation
where are data points,
is the mean and n is the number of observations.
Sum of square of differences =
900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180
Sorted data: 56, 91, 108, 115, 144, 157, 176
Range = Maximum - Minimum
Range = 176 - 56 = 120