Describe or show how to find the following product using both an algorithm and a diagram: 1/4 x 2/3

Small kingdoms on the iberian peninsula fought to take land back from the moors during which event? the hundred years’ war the wars of the roses the reconquista the great schism

How many real and imaginary solutions does the equation x^2-3x=-2x-7 have?

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.