The partially filled contingency table gives the relative frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-69

70-79

Over 79

Total

Male

0.17 (60-69)

0.1 (70-79)

0.13 (over 79)

Female

0.2 (60-69)

0.2 (70-79)

0.2 (over 79)

Total: 1

What is the probability that a resident is in the age group 60-69?

a.

0.385

c.

0.35

b.

0.37

d.

0.4

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.