A bar plans to conduct a study on beer consumption among men between the ages of 29 and 45. A pilot test indicated that men in this age category consume an average of 6 beers per week with a standard deviation of 2.3. If the microbrewery seeks a 95% confidence level and a precision of .5 beers, what size sample should be used in the study

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

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

The graph below shows the height of a projectile t seconds after it is launched. if acceleration due to gravity is -16 ft/s2, which equation models the height of the projectile correctly?