Find the equation of a line with each of the following characteristics. a) parallel to the line y = 3x + 5 and has a y-intercept of -1 b) perpendicular to the line y = 5x - 1 and passes through the point (10, 8) c) perpendicular to the line y = 1⁄3x + 4 and has an x-intercept of 2.

:24% of students in a class are girls. if there are less than 30 students in this class, how many students are there? how many girls are there?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

The cost of using a service is $0.25 per min. what equation correctly represents the total cost c, in dollars, for d days of use?