The table below shows the ticket rates for whale watching trips offered by ocean tours:

age ticket price
under 3 years free
3 to 12 years $36
over 12 years $48

on a certain day, the company took 92 people on whale watching trips. there were 40 children aged 12 and under, of which some children were under 3 years. if x represents the number of children under 3 years, which equation can be used to find the value of x, where c represents the total amount of money collected from tickets that day?
(92 − x)36 + (92 − 40) ⋅ 48 = c
(40 + x)36 + (92 − (40 + x)) ⋅ 48 = c
(92 + x)36 + (92 − (40 + x)) ⋅ 48 = c
(40 − x)36 + (92 − 40) ⋅ 48 = c

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.