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Helen [10]
3 years ago
8

Please help!!!

Mathematics
1 answer:
Pie3 years ago
5 0

Average speed = \frac{Total Distance}{Total Time}

Ishan's Speed uphill = 10mph

Time taken = 18 minutes = 18/60 = 3/10 hours

Now distance = rate × time

Distance traveled by Ishaan up hill = 10 × 3/10 = 3 miles

Now returning back home

Distance = 3 miles

Rate = 30 mph

So time taken = distance/ rate = 3/30= 1/10 hours = 1/10 ×60 = 6 minutes.

Now total distance traveled = 3 + 3 = 6 miles

Total time taken = 18 + 6 = 24 minutes = 24/60 = 2/5 hours

Average speed

= \frac{6}{0.4}

= 15 mph

Ishaan's average speed for the entire trip from home to the gift store and back is 15mph

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0.069

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The given data set is

0.92, 0.87, 0.88, 0.82, 0.82, 0.87, 0.97, 0.86, 0.89, 0.84, 0.81, 0.88, 0.77, 0.86, 0.93, 0.84, 0.72, 0.82, 0.74, 0.83, 0.93, 0.75, 0.79, 0.91, 0.84, 0.91, 0.88, 0.88, 0.83, 0.78, 0.99, 0.81, 0.78, 0.75, 0.82, 0.76, 0.82, 0.87, 0.91, 0.77, 0.72, 0.94, 0.71, 0.73, 0.81, 0.81, 0.86, 0.93, 0.93, 0.82.

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Mean=\frac{\sum x}{n}

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Formula for standard deviation for population:

\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n}}

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\sigma=\sqrt{\frac{\sum (x-\overline{x})^2}{n-1}}

\sigma=\sqrt{\frac{0.231792}{50-1}}

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\sigma\approx 0.069

Therefore, the standard deviation of the data set is 0.069.

5 0
3 years ago
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