A history teacher is writing a test worth 100 points. She uses multiple choice questions worth 6 points each and true/false questions worth 2 points each. She wants the test to have three times as many multiple choice questions as true/false questions. Let m represent the number of multiple choice questions on the test, and let t represent the number of true/false questions. Which system of equations can be used to find how many of each type of question she should write?

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)

Three students each examine the system of linear equations shown. 8x + 4y = 16 8x + 2y = 8 caleb says there is exactly one solution. jeremy says there is no solution. kim says there are infinitely many solutions. which student is correct? provide mathematical reasoning to support your answer. answer in complete sentences. : d

The height of a box can be found by dividing its volume by the area of its base,bottom.what is the height of a box that has a volume of 26.35 cubic centimeter and a base area of 4 1/4 square centimeter?