7. Balloon sales start to increase after your little prank. A local party supply company notices that their maximum profit is reached when they sell 80 balloons and they earn $60 of profit. When they sell 50 balloons they earn $33 of profit. Write a quadratic equation in vertex form to represent their profit. (10 points)

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.

What is number 31 as a sum of tens and ones?

Graph a sine function whose amplitude is 3, period is 4π , midline is y = 2, and y-intercept is (0, 2) . the graph is not a reflection of the parent function over the x-axis. use the sine tool to graph the function. the first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.