Astronomers classify stars according to their brightness by assigning them a stellar “magnitude.” the higher the magnitude the dimmer the star. the dimmest stars visible to the naked eye have stellar magnitudes of 6. the table below shows the relative brightness of different stellar magnitudes.

a. find an equation that gives the relative brightness in terms of stellar magnitude.
b. use this equation to find the relative brightness of a star with magnitude 9.

The transitive property of equality states that: o if a = b, then bra o if a = b, then ac = bc o if a = b and b= c, then a = if a = b and c= c, then a + b = b + c

The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.

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.