Problem n2 draw every tree on five vertices up to isomorphism. (hint: there should only be three of them.)

Arandom sample of 100 children were asked whether they prefer apples or oranges. the results are shown in the table. apples oranges boys 27 18 girls 32 23 select a word or phrase from the drop-down menus to correctly complete the statements describing the association. of the boys surveyed, more . of the girls surveyed, more . there appear to be an association between gender and fruit preference.

2x - 20 = 32 20 - 3x = 8 6x - 8 = 16 -13 - 3x = -10

Is each relation a function? if so, state whether it is one-to-one or many-to-one. 3. (-4,7), (-3,5), (1,4), (3,-8), (5,-11) 4. (-4,8), (-2,4), (0,1), (2,4), (4,8) 5. (-2, 1), (-2,3), (0,-3), (1,4), (3,1)