(32x⁴ - 12x² + 7x) / 2x
32x⁴/2x - 12x²/2x + 7x/2x
16x³ - 6x + 7/2
Answer:
Solution-
We know that,
Residual value = Given value - Predicted value
The table for residual values is shown below,
Plotting a graph, by taking the residual values on ordinate and values of given x on abscissa, a random pattern is obtained where the points are evenly distributed about x-axis.
We know that,
If the points in a residual plot are randomly dispersed around the horizontal or x-axis, a linear regression model is appropriate for the data. Otherwise, a non-linear model is more appropriate.
As, in this case the points are distributed randomly around x-axis, so the residual plot show that the line of regression is best fit for the data set.
Hope this helps!
Step-by-step explanation:
To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.
1/6 mile / 1/10 hours = x miles / 1 hour
Now we use cross-products or the multiplication of the numerator of one fraction times the denominator of the other fraction, setting these two numbers equal. The resulting equation is:
1/6 = 1/10x
Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.
x = 5/3 or 1 2/3
Therefore, Wayne walks 1 2/3 miles per hour.
Answer:
<em>A) The reference angle should be </em><u><em>
,</em></u><em> and the sign of the value should be </em><u><em>negative.</em></u>
Step-by-step explanation:
cos(
)
Remove full rotations of 2π until the angle is between 0 and 2
.
cos(
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.
-cos()
The exact value of cos() is 
.
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