Answer:
Range = 13
Mean = 8.4
Variance= 21.24
Standard deviation= 4.61
Step-by-step explanation:
2, 10, 15, 3, 13, 9, 14, 7, 2, 9
For the range
Let the set of data be arranged inn ascending order
Range= higehest value- lowest value
Range = 15-2
Range= 13
For the mean
Mean = (2+2+3+7+9+9+10+13+14+15)/10
Mean = 84/10
Mean = 8.4
For variance
Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10
Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10
Variance= 212.4/10
Variance= 21.24
Standard deviation= √variance
Standard deviation= √21.24
Standard deviation= 4.609
Approximately = 4.61
Answer:
The angle is of 600º.
Step-by-step explanation:
Angle of -60:
An anle of -60 is the same as an angle of -60 + 360 = 300º, which is in the fourth quadrant. In the fourth quadrant, just like in the third, the sine is negative.
Equivalent of an angle of 300º in the third quadrant:
The equivalent of an angle of 300º in the third quadrant(between 180 and 270) is given by: 270 - (300 - 270) = 270 - 30 = 240º. That is, they have the same sine.
Angle between 450 and 630:
This is on the second lap of the trigonometric circle, that is, we take the original measures and add 360º(length of a lap). So
240 + 360 = 600º
The angle is of 600º.
Answer:
1. predicted attendance: 141.35
2. residual: 18.65
Step-by-step explanation:
1. Predicted attendance is ...
y = -5.9·5 +170.85 = 141.35
__
2. As the problem statement tells you, ...
actual value - predicted value = residual
160 - 141.35 = 18.65 . . . the residual
This is the commutative property of multiplication because it shows that terms in a multiplication can be rearranged but it will yield the same result.
0.125 is bigger than 0.15.
