The time of arrival of an artificial seismic wave versus the distance from the source is given in the following table. Distance (m.) Time (sec.) 530 0.349 600 0.391 670 0.441 1130 0.739 1200 0.787 1270 0.831 1800 1.160 1870 1.177 1940 1.192 2730 1.377 Choose an appropriate chart and produce a graph of this data.
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- Velocity of a Ferris Wheel Use Figure 7 as a model of the Ferris wheel called Colossus that is built in St. Louis in 1986. The diameter of the wheel is 165 feet. A brochure that gives some statistics associated with Colossus indicates that it rotates at 1.5 revolutions per minute and also indicates that a rider on the wheel is traveling at 10 miles per hour. Explain why these two numbers, 1.5 revolutions per minute and 10 miles per hour, cannot both be correct.The geoemetric mean of 2, 4 & 8.Consider the task of clustering Walmart customers into segments based on purchase behaviours. Suppose that the x-coordinate represents money spent on vegetables (in dollars) and the y-coordinate represents money spent on candies (in dollars). The store wants to cluster customers into "healthy" cluster and an "unhealthy" cluster.Which distance metric is not a good choice in this case? Euclidean distance? Cosine distance? Correlation distance? All the same?
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- Diastolic Blood Pressure The accompanying normal quantile plot was constructed from the diastolic blood pressure levels of a sample of women. What does this graph suggest about diastolic blood pressure levels of women?A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner's time at the end of each lap, obtaining the data in the following table. Time (s) Distance (m) 34 200 76 400 123 600 172 800 227 1000 285 1200 358 1400 437 1600 (a) What was the man's average speed (rate) between 76 s and 172 s? (Round your answer to two decimal places.) m/s (b) What was the man's average speed between 285 s and 437 s? (Round your answer to two decimal places.) m/s (c) Calculate the man's speed for each lap. Is he slowing down, speeding up, or neither? O slowing down O speeding up O neitherThe horizontal distance between point A and point B was measured repeatedly giving the following results. Observations are in feet (5 points). 17.6612, 17.6612, 17.6593, 17.6632, 17.6642, 17.6629, 17.6527, 17.6641, 17.6534, 17.6519, 17.6630, 17.6663, 17.6590, 17.6605, 17.6586 A) Compute the mean and the standard deviation of the observations. B) Remove 3 measurements with highest error from the above observations and compute the mean and the standard deviation again
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