A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at a constant rate of 3 ft/s, and the capstan is 4 ft vertically above the water. How fast is the boat traveling when it is 8 ft from the dock? Let x be the horizontal distance from the boat to the dock and z be the length of the rope. Write an equation relating x and z. Differentiate both sides of the equation with respect to t O-0 dz When the boat is 8 ft from the dock, it is traveling at about (Round to two decimal places as needed.)

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.