One half the difference of the cube of a number, x, and three

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.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)

Lab 1: central tendency and standard deviation directions: use excel to compute descriptive statistics. problem: you are the manger of a fast food store. part of your job is to report to the boss at the end of each day which special is selling best. use your knowledge of descriptive statistics and write one paragraph to let the boss know what happened today. here are the data. use excel to compute important values (mean, median, mode, and standard deviation). make sure to include a copy of your work. this should be submitted via canvas (no exceptions). make sure you include your excel work in addition to a summary of the results. special number sold cost huge burger 20 $2.95 baby burger 18 $1.49 chicken littles 25 $3.50 porker burger 19 $2.95 yummy burger 17 $1.99 coney dog 20 $1.99 total specials sold 119