A box contains 5 white and 7 black balls. Two successive drawn of 3 balls are made with replacement (ii) without replacement. The probability that the first draw woul
produce white balls and the second draw would produce black balls are respectively
(a) 6/321 and 3/926
(b) 1/20 and 1/30
(c) 35/144 and 35/10
(d) 7/968 and 5/264

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.