In many American cities, residents are concerned about excessive use of force by police officers. department collected data on the number of complaints against its officers over a five-year period, and found that the data was roughly normally distributed. What would the percent be for 0 complaints and 200 officers?

The mean of a set of data is -3.82 and its standard deviation is 2.31. find the z score for a value of 3.99.

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Amir wants to proportionally increase the size of a photo to create a poster for his room. the size of the original photo is shown. complete the statement and then answer the question to represent ways that amir can increase the size of his photo.