Orlando has a toy cube that lights up when he touches it. the entire outside of the cube lights up when touched. the length of the cube is 45 foot. how much surface lights up with orlando touches the toy cube?

Given the points a(-2, 1) and b(8, 6), find the coordinates of the point c on directed line segment ab, that partitions ab in the ration 2: 3.

Complete the solution of the equation. find the value of y when x equals to 1 9x-5y=29

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.