<span>A. 0.1
The residual is the difference between the observed value and the predicted value for a data point. You obtain it by subtracting the predicted value from the observed value. So the predicted value is:
y = -0.2x + 1.9
y = -0.2*5 + 1.9
y = -1 + 1.9
y = 0.9
Therefore the residual is:
r = 1 - 0.9
r = 0.1
And the value of 0.1 matches option "A".</span>
Reflection across the y-axis and with a scale factor of 2
The volume of the cone will be given by:
Volume=1/3πr^2h
therefore the volume of our cone will be:
π=3.14
h=87
r=21/2
Volume=1/3*3.14*(21/2)^2*87
=10,039.365 cm^2
Volume of cylinder = πr²h
Radius = Diameter ÷ 2
Radius = 10÷ 2
Radius = 5 in
Volume of the cylinder =π x 5² x20
Volume of the cylinder = 1570.80 in³ (nearest hundredth)
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Volume = 1570.80 in³ (Answer C)
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This is the commutative property of multiplication. Commutative property has to do with order. Whereas the equation begins with 5+ac, its equivalent reads 5+ca. The order of the variables has changed.
