The period of tangent is

How many double-angle formulas for cosine are there?

Mercedes-Benz (MB) is interested in monitoring variability in new engine horsepower (HP) output at the close of a production process. Each engine unit is slaved to a dynamometer via a simulated transmission linkage. The dynamometer provides a continuous data stream of HP at 20Hz. Each engine test runs for approximately 5 min. at 2500 RPMs. For this data collection scenario, which type of process control chart would you recommend that MB apply for production unit HP variability tracking?

In a work sampling study of radio station programming, over a 30-day observation period with 50 observations per day, an analyst records a total of 968 instances of music (with the remainder of data points being ads). What is the mean proportion of music programming for the study? Provide a measure of variance in programming among music and ads. If the radio station elected to use a p-chart to identify the number of days “out of control”, in terms of music programming relative to ads, what values would you calculate for control limits? UCL = LCL =

While driving to work one day Destiny was cut off by another driver. If Destiny’s first reaction is to assume that the person who cut her off was a bad driver, this would be an example of

A single lane on-ramp at Conrad Rd. in Orlando has an automated tollbooth facility. The tollbooth can process one vehicle every 20 sec. Given the location of the tollbooth near the airport, the traffic flow in this area is heavy with one car arriving every 43 sec. Using an M/M/1 service system model, compute the mean number of vehicles in queue at the tollbooth per minute. What is the mean wait time for any vehicle in queue at the tollbooth?  

A new system for beer can packaging is expected to save a small craft brewery $155K after 5 yrs. of use. The present cost for the packaging system is $63K. Assume an interest rate of 8%. What is the net present worth of the packaging system (P/F,i,n) for the brewer?

The half-angle formulas for both sine and cosine come from the 2nd and 3rd double-angle formulas for cosine.

If a test predicts what it is supposed to, it is said to be

All control limits are conditional until a process is described as “in control”. In the event that a process outlier is observed, based on initial control limits, the upper- and lower-bounds should be recalculated subsequent to outlier removal (i.e., after the process is “in control”).