Given two lines, prove that if the slopes are the same and the y-intercepts are the same, then the lines coincide. assume two lines do not coincide (~q). then, either their slopes are different or their y-intercepts are different (~p). since ~q → ~p is true, p → q must be true. therefore, if the slopes and y-intercepts are the same, then two lines coincide. what type of proof is illustrated above? a. proof by contradiction b. proof by contraposition c. proof by direct method d. proof by law of detachment

Asample of 200 rom computer chips was selected on each of 30 consecutive days, and the number of nonconforming chips on each day was as follows: the data has been given so that it can be copied into r as a vector. non. conforming = c(10, 15, 21, 19, 34, 16, 5, 24, 8, 21, 32, 14, 14, 19, 18, 20, 12, 23, 10, 19, 20, 18, 13, 26, 33, 14, 12, 21, 12, 27) #construct a p chart by using the following code. you will need to enter your values for pbar, lcl and ucl. pbar = lcl = ucl = plot(non. conforming/200, ylim = c(0,.5)) abline(h = pbar, lty = 2) abline(h = lcl, lty = 3) abline(h = ucl, lty = 3)