Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g.

a. if a vending machine will only accept coins weighing between 5.48 g and 5.82 g, what percentage of legal quarters will be rejected?
b. if the quarters having weights in the lowest 0.5% and highest 0.5% range are to be rejected, what are the two cutoff weights?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

What is the length and width of a 84.5 square foot rug? will mark

Which statements about the system are true? check all that apply. y =1/3 x – 4 3y – x = –7 the system has one solution. the system consists of parallel lines. both lines have the same slope. both lines have the same y–intercept. the equations represent the same line. the lines intersect.