Answer:
Mean absolute deviation = 1.6.
Step-by-step explanation:
The mean = (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10
= 7.
List the differences from the mean:
4 - 7 = -3
-3
-1
-1
0
1
1
1
2
3
Sum of the absolute value of the difference
= 3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3
= 16.
So the Mean Absolute deviation = 16 / 10 = 1.6.
Answer:
The answer to your question is x = 15
Step-by-step explanation:
Use proportions to solve this problem
Solve for "x"
x =
Simplification
x =
Result
x = 15
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Find Slope:
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y = 1/4x - 7
Slope = 1/4
Perpendicular slope = -4 (Negative reciprocal)
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Substitute slope into the general equation y = mx + b:
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y = -4x + b
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Find y-intercept:
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at point (-2, -6)
-6 = -4(-2) + b
-6 = 8 + b
b = -6 - 8
b = -14
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Substitute b = -14 into the equation:
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y = -4x + b
y = -4x - 14
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Equation:
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y = -4x - 14
y + 6 = -4x - 8 \\add 6 to both sides
y + 6 = -4(x + 2) \\Take out common factor -4
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Answer: y + 6 = -4(x + 2) (Answer D)
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The dilation of a figure with a scale fator k means that the distance of each point of the image from the center of dilation will be k times the distance of the original figure from the center of dilation.
Also the length of each two points of the image is k times the length of each two points of the original figure.
From the given figure, the vertices of the original triangle are (-3, 3), (6, 6) and (3, 9).
The vertices of the <span>image of this figure after a dilation with a scale factor of 1/3 centered at the origin is given by
Therefore, the verties of the </span> <span>image of this figure after a dilation with a scale factor of 1/3 centered at the origin are (-1, 1), (2, 2) and (1, 3).</span>