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9966 [12]
3 years ago
7

Find the values for a and b that would make the equality true.

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side, then compare the coefficients of like terms.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15

Compare coefficients of x- terms

- 3a = 12 ( divide both sides by - 3 )

a = - 4

Compare constant terms

- 3b = - 15 ( divide both sides by - 3 )

b = 5

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Mean absolute deviation of 75, 89, 145, 85, 80, 92, 104, 90, 100?
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First, compute the mean: m=\frac{75+89+145+85+80+92+104+90+100}9=\frac{860}9=95.555

Next compute the absolute deviations for each datapoint:
|75-95.555|=20.555
|89-95.555|=6.555
|145-95.555|=49.445
|85-95.555|=10.555
|80-95.555|=15.555
|92-95.555|=3.555
|104-95.555|=8.445
|90-95.555|=5.555
|100-95.555|=4.445

Next we'll take the mean of these deviations: \frac{20.555+6.555+49.445+10.555+15.555+3.555+8.445+5.555+4.445}9=\frac{124.665}9=13.8517

The mean absolute deviation of your data is 13.8517
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Step-by-step explanation:

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