In the design of an electromechanical product, 12 components are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. one end of the casing is designated as the bottom & the other end is the top.
a) if all components are different, how many different designs are possible?
b) if 7 components are the same, & others are different, how many different designs are possible?
c) if 3 components are of one type, and 4 of another, and other 5 are different, how many different designs are possible?

If g(x) is an odd function, which function must be an even function?

Marla bought a book for $12.95, a binder for $3.49, and a backpack for $44.99. the sales tax rate is 6%. find the amount of tax and the total she paid for these items

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.