John translated parallelogram abcd using the rule (x, y) → (x + 3, y − 2). if angle a is 110° and angle b is 70°, what is the degree measurement of angle a'?

70°
110°
40°
180°

1foot = 12 inches; 1 yard = 3 feet

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?