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Thunderstorm (Posted on 2019-02-05) |
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The time between seeing a lightning flash and hearing the resulting thunder gives an accurate estimate of the distance to its location. During one storm a meteorologist observes 29 such flashes, and calculates the distances in miles as follows:
6.02,
3.01,
0.69,
3.38,
2.01,
4.69, 3.54,
3.67,
3.67,
4.55,
5.79,
3.72, 1.05,
3.73,
3.98,
7.28,
2.10,
2.90, 6.95,
6.18,
7.20,
4.89,
6.60,
2.53, 2.09,
1.30,
1.81,
4.75,
6.91
Assume that the cloud is circular, is not moving, and that the lightning strikes are uniformly distributed through the cloud. Determine the diameter of the cloud.
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