Acollege student realized that he was spending too much money on music. for the remaining 5 months of the year his goal is to spend a mean of $50 a month towards music. how much can he spend in december, taking into consideration that in the other 4 months he spent $95, $60, $40, and $40, respectively? round your answer to two decimal places, if necessary.

Suppose there are 10 five and six-year-old attending a birthday party. when a 30 year old mother walks into the room with an infant in her arms, what happens to the mean age in the room? what happens to the standard deviation of ages in the room? a. the mean and standard deviation of both change. b. the meaning will change, but the standard deviation will stay approximately the same. c. i mean will stay approximately the same, but the standard deviation will change. d. the mean and standard deviation will both stay approximately the same.

Write the expression in simplified radical form. show all steps and work including any foil method work. (hint: use the conjugate. no decimal answers.) (9-2√3)/(12+√3)

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?