Sheila is playing a game with a 6-sided number cube. the number rolled determines the number of spaces moved. however, if a 3 is rolled, the player can choose to move 3 or 6 spaces. this mapping diagram shows the inputs and outputs for sheila's game. does sheila's mapping diagram represent a function? why or why not?

Acylinder has volume 45π and radius 3. what is it’s height?

Are the corresponding angles congruent? explain why or why not.

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?