Newton's Law of Cooling The temperature, F(t), of a heated object at time t is given by F(t) = C + (To - C)e^kt,
where C is the constant temperature of the surrounding medium, To is the initial temperature
of the heated object, and k is a negative cooling constant that is associated with the object.
(a) Suppose a freshly brewed cup of coffee is 170° F and sits in a room with a constant
temperature of 68°. After 30 minutes the temperature of the coffee is 90°. Use Newton's
Law of Cooling to find a model for the temperature of the coffee, F(t), after t minutes.
(Hint: You need to find the constant k.)
(b) What is the temperature of the coffee after 45 minutes?
(c) When will the temperature of the coffee be 100°?
(d) Calculate the inverse F^-1(x) of F(t). In the context of the question, what consists of the
domain of the inverse and what is the range? That is, what does F^-1 (2) model?

It appears that people who are mildly obese are less active than leaner people. one study looked at the average number of minutes per day that people spend standing or walking. among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately normally distributed with mean 376 minutes and standard deviation 64 minutes. the mean number of minutes of daily activity for lean people is approximately normally distributed with mean 528 minutes and standard deviation 107 minutes. a researcher records the minutes of activity for an srs of 7 mildly obese people and an srs of 7 lean people. use z-scores rounded to two decimal places to answer the following: what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes? what is the probability (image for it appears that people who are mildly obese are less active than leaner people. one study looked at the averag0.0001) that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?