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Exercise given in textbook:
A farmer has 40m of fencing with which to enclose a rectangular pen.Given that the pen is x m wide - show that it's area is (20x - x^2)m^2 and deduce that the maximum area that he can enclose (Answer given 100m^2).
I have completed lots and lots of exercises involving completing the square- also with minimum and maximum values but am obviously missing something here.
If a worker is chosen at random, what is the probability that he or she.Is very improbable to switch jobs. Is somewhat likely or very likely to switch jobs.
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
Simulate 50 observations from a normal distribution with mean 0 and standard deviation 1. make a normal plot.
A consumer organization estimates that over a 1-year period 17 percent of cars will require to be repaired once, 7 percent will need repairs twice, and 4 percent will require three or more repairs. What is the probability that a car chosen at rand..
Simulate the arrival of cars at the service station for 20 arrivals and compute the average time between stations and Simulate the arrival of the cars at the service station for 1 hour
Under what conditions should you use the Chi-Square Test to determine whether there is a difference between proportions of two independent populations?
In hypothesis testing, the level of significance is? When would you use a t test and when would you use an f test ? You are interested in the assumption that adult students earn better grades than traditional students.
Use a 0.05 significance level to test the claim that these credit rating are from a population with a mean that is equal to 700.
A random sample of n=9 men between 30-39 years old is asked to do as many sit ups as they can in one minute. The mean number is x=26.2 and the standard deviation is s=6. Find a 95% confidence interval for the population mean.
Calculate the appropriate disease frequency rate. Show your work. The cumulative incidence rate in a population of 100,000 people where 9 new cases of disease were reported within 1 year.
An accounting professor at a state university in Vermont recently gave a three-question multiple-choice quiz. What is the probability of getting a perfect score if you were forced to guess at each question?
Suppose that in a population of 10 items, 3 are defective and 7 are not. Suppose that two items are chosen at random for inspection. Let X be the number of defective items inspected. report all probabilities to a minimum of 5 decimal places of acc..
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