HELP! MARKING BRAINLIEST
2 answers:
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Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of is
(where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
Answer:
Step-by-step explanation:
Previous concepts
The mean absolute deviation or MAD "is the average of the absolute deviations or the positive difference of the given data and that certain value (generally central values)". And is given by this formula:
Solution to the problem
Assuming the info from the picture. So then the data is this one:
66,69,70,70,71,72,72,72,73,73,74,75,75,75
So the first step is find the mean for the dataset with the following formula:
And if we replace the values we got:
And now we need to subtract for each value the mean like this:
Data
66 5.929
69 2.929
70 1.929
70 1.929
71 0.929
72 0.0714
72 0.0714
72 0.0714
73 1.0714
73 1.0714
74 2.0714
75 3.0714
75 3.0714
75 3.0714
Now we need to add the deviations and divide by the the number of data values and we got:
