Tiffany and Michael begin running around a circular track of radius 90 yards. They start at the locations pictured. Michael is running 0.034 rad/sec counterclockwise and Tiffany is running 0.04 rad/sec counterclockwise. Impose coordinates as pictured. (Round your answers to two decimal places.)a. Where is each runner located (in xy-coordinates) after 8 seconds?Michael (x, y): Tiffany (x, y):b. How far has each runner traveled after 8 seconds?Michael: yardsTiffany: yardsc. Find the angle θ, in radians, swept out by Michael after t seconds. Micheal: rads(d) Find the angle θ, in radians, swept out by Tiffany after t seconds. Tiff: rads(e) Find the xy-coordinates of Michael and Tiffany after t seconds. Michael (x, y): Tiffany (x, y):(f) Find the first time when Michael's x-coordinate is −45.(g) Find the first time when Tiffany's x-coordinate is −45.(h) Find when Tiffany passes Michael the first time.

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.