A natural gas plant is located on the north bank of a river that is 4 km wide. A pipeline will be laid from the natural gas plant to a distribution station. This station stands on the opposite bank of the river, 6 km west of the natural gas plant. The cost of laying a pipe over land to point A on the north bank is $30,000/km. It costs $75,000/km to lay a pipe under the river to the station on the opposite bank. How far should point A be located from the distribution station to minimize the cost of laying the pipeline?

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2

Triangles abd and ace are similar right triangles. witch ratio best explains why the slope of ab is the same as the slope of ac?

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?