Tavon wants to design a fountain for his backyard. He wants the height of the fountain's water stream to be at least 2 m. The height of a fountain's water stream can be modeled by a quadratic function h(x) = -8(x -0.5)^2+2. In the equation, h is the height of the jet of water and x is the horizontal distance from the jet of water to

the nozzle, measured in meters. Tavon has already calculated that the water will land 1 m from the nozzle. Tavon wants the fountain's water to stream in four

directions. He puts four nozzles in the center of the pool so there will be four streams originating from the fountain. How big does the pool have to be if it is a square

shape?

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.