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Chapter 3 Solutions
Calculus Volume 2
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Calculus: Early Transcendentals (2nd Edition)
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- An environmental research team is studying the daily rainfall (in millimeters) in a region over 100 days. The data is grouped into the following histogram bins: Rainfall Range (mm) Frequency 0-9.9 15 10 19.9 25 20-29.9 30 30-39.9 20 ||40-49.9 10 a) If a random day is selected, what is the probability that the rainfall was at least 20 mm but less than 40 mm? b) Estimate the mean daily rainfall, assuming the rainfall in each bin is uniformly distributed and the midpoint of each bin represents the average rainfall for that range. c) Construct the cumulative frequency distribution and determine the rainfall level below which 75% of the days fall. d) Calculate the estimated variance and standard deviation of the daily rainfall based on the histogram data.arrow_forwardProblem 2: The 1000 kg car at rest slides down from A along the track without friction. Determine: the force exerted by the track on the car at point B, and the minimum safe value of the radius of curvature at point C. 5 m + C T=6m 15 m Barrow_forwardProblem 1: In a softball game, Peter throws a ball with an initial velocity Vo 120 km/h at an angle a. At Point B, the height of the ball is 0.7 m. determine (a) the angle a, (b) the angle 0 of the velocity when the ball reaches at Point B. Pr the tra rac 0.7 m B 14 m 0.58 marrow_forward
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