Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
a. the y-axis
b. the x-axis
c. the line
d. the line

In a young single person's monthly budget, $150 is spent on food, $175 is spent on housing, and $175 is spend on other items. suppose you drew a circle graph to represent this information, what percent of the graph represents housing?

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)

Suppose "true-talent" average exit velocity (aev) on batted balls for all players is normally distributed with mean 86 mph and a standard deviation of 2 mph. for any sample of individual batted balls hit by one player, the standard deviation of exit velocity around a particular player's true-talent aev is 8 mph. at this point in the season, marco masher has a total of 10 batted balls with an average exit velocity of 94 mph. given only this information, the best estimate for his true talent exit velocity is closest to which whole number?