There are 10 first-tier national rugby union teams: Argentina, Australia, England, France, Ireland, Italy, New Zealand, Scotland, South Africa, and Wales. (a) How many different two-team pairings are possible among these 10 teams

X+ y = k 2x + 3y = k + 1 the point of intersection of the lines has an x-coordinate of a.2k + 1 b.-2k + 1 c.2k - 1

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 dash figure is a dilation if the original figure. find the scale factor. classify the dilation as an enlargement or a reduction