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soldier1979 [14.2K]
3 years ago
6

Suppose that the last four months of sales were 8, 10, 15, and 9 units, respectively. Suppose further that the last four forecas

ts were 5, 6, 11, and 12 units, respectively. What is the Mean Absolute Deviation (MAD) of these forecasts?
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

The MAD value will be = 3.

Step-by-step explanation:

The last four month's forecasts for sale are 5, 6, 11, and 12.

Now, we have to find the Mean Absolute Deviation (MAD) of these forecasts.

Now, the mean of the forecast values for the four months is \frac{5 + 6 + 11 + 12}{4} = 8.5.

Therefore, the sum of absolute deviations of the forecast values from that mean will be = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.

Therefore, the MAD value will be = \frac{12}{4} = 3 (Answer)

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Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the
astra-53 [7]

Answer:

125

Step-by-step explanation:

120 - 90 =  25 x 5 = 125

5 0
3 years ago
Tomos is a skier he completed a ski race in 2 min 6 seconds
Varvara68 [4.7K]

Answer: 3\ min\ 12\ s

Step-by-step explanation:

The complete exercise is: "Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. Tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds"

For this exercise you can use the following formula to find the average speed :

V=\frac{d}{t}

Where "d" is the distance and "t" is the time.

In this case, based on the information given in the exercise, you can identify that:

d=525\ m

Since  he completed a ski race in 2 min 6 seconds, and 1 minute has 60 seconds, you ge that this time in seconds is:

t=120\ s+6\ s=126\ s

Substitute these values into the formula to find the average speed:

V=\frac{525\ m}{126\ s} \\\\V=\frac{25}{6\ }\frac{m}{s}

The formula for the time is:

t=\frac{d}{V}

Knowing that Tomos assumes that his average speed is the same for each race, for the  800 meters race you can identify that:

V=\frac{25}{6\ }\frac{m}{s}\\\\d=800\ m

So, substituting values into the formula and evaluating, you get that the time it takes him to complete this race is:

t=\frac{800\ m}{ \frac{25}{6\ }\frac{m}{s}}\\\\t=192\ s

Convert from seconds to minutes:

(192\ s)(\frac{1\ min}{60\ s} )=3.2\ min

Converting 0.2 minutes to seconds, you get:

(0.2\ min)(\frac{60\ s}{1\ min} )=12\ s

Therefore:

t=3\ min\ 12\ s

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3 years ago
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Answer:

52.5

Step-by-step explanation:

180-75=105

105/2=52.5

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3 years ago
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Answer:

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Exact Form:

x= 87/35

Decimal Form:

x= 2.48571428

Mixed Number Form:

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3 years ago
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Answer:

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Step-by-step explanation:

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