Online retailers like Amazon keep traditional retailers on their toes by ensuring their prices are reasonably similar. One retailer regularly checks its prices with Amazon. In the most recent comparison, it took a random sample of 39 of its products and compared their price for each product with the corresponding price on Amazon. Required:
a. To determine if there is a difference between its own prices vs. Amazon, which type of test should retailer use?
b. The test statistic was found to be 1.99. What is the p-value for the test?

Acomposition of transformations maps δxyz to δx"y"z". the first transformation for this composition is , and the second transformation is a 90° rotation about point x'.

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 area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²