A tank has 45 gallons of water in it at time t = 0 minutes. Water begins to be pumped into the tank at timet = 0. A different pipe is draining water from the tank starting at t = 0. Water is being removed from the tank at a rate modeled by the function V(t) = –9(1.05)' + 23, where V (t) is measured in gallons per minute. Water is being pumped into a tank at a rate modeled by the function F(t) = -8(0.85) + 14, where F(t) is measured in gallons per minute. What is the minimum amount of water in the tank from t = 0 to t = 12? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.

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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.