A new brand of gym shoe claims to add up to 2 inches to an athlete vertical leaps. design an experiment to test this claim.
state the objective of the experiment.
a. to determine whether or not athletes have an increase in vertical leap when wearing the shoes.
b. to determine the average vertical leap of athletes.
c. to determine whether or not athletes have an increase in their running speeds when wearing the shoes.
d. to determine whether or not the new gym shoes are worth purchasing for the average athletes.

What situation is an example of an observational study

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.

What is the value of x in the equation7x+2y=48 when y=3