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Dima020 [189]
3 years ago
8

Sean has worked 66 hours over the last 10 days without a day off. He worked either a 6 hour day or an 8 hour day. During the 10

day period, how many days did Sean work an 8 hour day?
Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0
He worked an 8 hour day 3 days.

Let x be the number of 8 hour days he works.  Then 10-x is the number of 6 hour days he works.

8x + 6(10-x) = 66

Using the distributive property,
8x + 6*10 - 6*x = 66
8x + 60 - 6x = 66

Combining like terms,
2x + 60 = 66

Subtract 60 from both sides:
2x + 60 - 60 = 66 - 60
2x = 6

Divide both sides by 2:
2x/2 = 6/2
x = 3

There were 3 days he worked 8 hours.
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Answer:

a) We can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

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And for the median first we need to order the dataset on increasing way:

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b) For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

Step-by-step explanation:

For this case we have the following data:

350, 70, 65, 50, 60

Part a

We can calculate the mean with the following formula:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

And replacing we got:

\bar X= \frac{350+ 70+ 65 +50+ 60}{5} =119

And for the median first we need to order the dataset on increasing way:

50, 60, 65, 70, 350

Since the sample size is an odd number we can calculate the median as the middle position for the dataset, for this case the 3th position and we got:

Median = 65

Part b

For this case we can see that we have an outlier present in the data 350, and for this case if we want to give a measure of central tendency is better use the median since this meaure is not affected by outliers. So Lauren should use the median.

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(The 17th shape would be triangle)

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2 years ago
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Step-by-step explanation:

4 ÷ \frac{1}{2} = \frac{4}{1} · \frac{2}{1}

4 · 2 = 8

3 0
3 years ago
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