The spinner below shows 5 equally sized slices. Yolanda spun the dial
20 times and got the following results. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on grey. (b) From Yolanda's results, compute the experimental probability of landing on grey. (c) Assuming that the spinner is fair, choose the statement below that is true:

As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.

As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.

The experimental and theoretical probabilities must always be equal.

Carla was trying to decide what to do saturday evening. she has $100 available to spend for the evening. she has narrowed her choices down to these events: braves game, a concert of an artist she likes, or the georgia aquarium. admission to the braves game is $25, hot dogs cost $10, sodas cost $5. the concert costs $25 for admission, $20 for a souvernir t-shirt, and $10 for a soda. the georgia aquarium has the show of a lifetime with an all you can eat and drink that costs $100. carla does not want to take any driving chances, so in addition to the cost of the aquarium, she will also need to pay for her uber/lyft, which is $15 each way. which option should carla choose if she wants to spend the least? based on that choice, what then is carla's oppotunity cost? fully explain your answer in at least one paragraph.

Which statement accurately describes how to perform a 90° clockwise rotation of point a (1,4) around the origin?

What is the slope of the line that contains the points (-5, 6) and (14. - 7)?