Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well-controlled research (Persson, Bringlov, Nilsson, and Nyberg, 2004). In
a typical study, a researcher obtains a sample of n = 16 participants and has each person take the herbal supplements every day for
90 days. At the end of the 90 days, each person takes a standardized memory test. For the general population, scores from the test
form a normal distribution with a mean of p = 50
and a standard deviation of 6 = 12. The sample of research participants had an average of M = 54.
1. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined.

Evaluate-27 ^4/3/8 a) - 81/16 b) 81/16 c) 16/81

The functions below show the amount of money bella and sweet t had saved after earning money for doing chores. which description best compares the two functions?

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.