Suppose a student carrying a flu virus returns to an isolated college campus (no student leaves the campus) of 1000 students. If it is assumed that the rate at which the virus spreads is proportional not only to the number to infected students but also to the number of students not infected, determine the number of infected students after 6 days if it is further observed that after 4 days x(4)=50. Use the logistics equation, one can write a mathematical model of this situation as follows. dx/dt = kx(1000 - x), x(0) = 1

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . assume that the population has a normal distribution. a laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with sequals 17.6 milligrams. a confidence interval of 173.8 mgless than muless than 196.2 mg is constructed for the true mean cholesterol content of all such eggs. it was assumed that the population has a normal distribution. what confidence level does this interval represent?