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Burka [1]
3 years ago
11

How to show my daughter to do this and it needs to be changed to a mix number.

Mathematics
1 answer:
densk [106]3 years ago
7 0

Solution 1 by separating parts

Rewriting our equation with parts separated

−5/6 −2−1/10

Solving the fraction parts

−5/6−1 1/0=?

Find the LCD of 5/6 and 1/10 and rewrite to solve with the equivalent fractions.

LCD = 30

−25/30−3/30= −28/30

Reducing the fraction part, 28/30,

−28/30= −14/15

Combining the whole and fraction parts

−2−14/15= −2 14/15

Solution by Formulas

converting mixed numbers to fractions, our initial equation becomes,

−5/6−21/10

Applying the fractions formula for subtraction,

=(−5×10)−(21×6)6×10

=(−50−126) / 60

= −176 / 60

Simplifying -176/60, the answer is

= −2 14/15

I hopes this helps!!! :)

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Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

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B) 13/8

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C) 4/3

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D) 6/11

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13/8 is our answer because in decimal form it is a terminating decimal.

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For a smoothing constant of 0.2

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90

Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12

The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80

Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17

The mean forecast for period 11 is 53.56


Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
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