Researchers in the Hopkins Forest (see Problem 7-16 from) also count the number of maple trees (genusacer) in plots throughout the forest. The following is a histogram of the number of live maples in 1002 plots sampled over the past 20 years. The average number of maples per plot was 19.86 trees with a standard deviation of 23.65 trees. a). If we took the mean of a sample of eight plots, what would be the standard error of the mean?
b). Using the central limit theorem, what is the probability that the mean of the eight would be within 1 standard error of the mean?
c). Why might you think that the probability that you calculated in (b) might not be very accurate?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

You earn a 12% commission for every car you sell. how much is your commission if you sell a $23,000 car?

Calculate the annual effective interest rate of a 12 % nominal annual interest rate compound monthly