Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the dT differential equation dt k(TA), where T is the temperature of the object after t units of time have passed, A is the ambient temperature of the object's surroundings, and k is a constant of proportionality. = Suppose that a cup of coffee begins at 176 degrees and, after sitting in room temperature of 67 degrees for 16 minutes, the coffee reaches 171 degrees. How long will it take before the coffee reaches 151 degrees? Include at least 2 decimal places in your answer.

Describe about Multiple Comparisons.

Fire departments in your county have an average benchmark of 6 minutes on a fire call from the time the 911 operator takes the call to the time the first firefighter arrives on the scene. This 6-minute average includes a 1-minute call handling time from when 911 gets the call to when they notify the fire department. There is a 1-minute time from when the firefighters are notified to when they get out of the fire station. Then they have 4 minutes from when they leave the station to when they arrive on scene. Two fire departments in your county are being compared. From one fire department, a random sample of 10 calls has a mean of 6.51 minutes total with a standard deviation of 0.26 minutes. From the other fire department, a random sample of 11 calls shows a mean of 6.42 minutes with a standard deviation of 0.19. Construct a 90% confidence interval for the difference in the mean call time between the two fire departments. Fire departments in your county have an average benchmark of 6…

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