1. give an example of a group, g, and a proper subgroup, h, where h has finite index in g and h has infinite order 2. give an example of a group, g, and a proper subgroup, h, where h has infinite index in g and h has finite order. (hint: you won't be able to find this with the groups that we work a lot with. try looking in so2(r))

In a singing competition, there are 150 participants. at the end of each round, 40% of the participants are eliminated. how many participants are left after n rounds?

How many square centimeters of wrapping paper will be used to wrap the shoe box?

(co 3) the soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. the company takes readings of every 10th bar off the production line. the reading points are 5.8, 5.9, 4.9, 6.5, 5.0, 4.9, 6.2, 5.1, 5.7, 6.1. is the process in control or out of control and why? it is out of control as two of these data points are more than 2 standard deviations from the mean it is in control as the data points more than 2 standard deviations from the mean are far apart it is out of control as one of these data points is more than 3 standard deviations from the mean it is in control as the values jump above and below the mean