We can use a linear function to describe air leaking from a balloon, but this is not, in fact, an accurate description. Suppose a balloon initially holds 6 liters of air. Let B = B(t) denote the volume, in liters, of air in the balloon t seconds after it starts leaking. When a balloon is almost full, the air pressure inside is large, so it leaks rapidly. When it is almost empty, it leaks more slowly. More formally, the rate of change in B is proportional to B. Assume that for this particular balloon, the constant of proportionality is -0.07. (a) Write an equation of change for B. dB %3D dt (b) Find a formula for B. B = (c) How long will it take for half of the air to leak out of the balloon? (Round your answer to two decimal places.) sec Need Help? Watch It Read It

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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.