A group of seven people are attending the movies together. (A) Two of the seven insist on sitting side-by-side. In how many ways can the seven be seated together in a row B) two people do not like each other and do not want to sit side by side. Now how many ways can the seven be seated together in a row?

Find the balance at the end of 4 years if 1000 is deposited at the rate of

Determine the volume of a cylinder bucket if the diameter is 8.5 in. and the height is 11.5 in.

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?