High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have calculated the maximum horsepower for the engine to be 540HP . Nine engines are randomly selected for horsepower testing. The sample has an average maximum HP of 570 with a standard deviation of 30HP. Assume the population is normally distributed. Calculate a confidence interval for the average maximum HP for the experimental engine. Use a significance level of α=0.01.

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given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

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