Quart cartons of milk should contain at least 32 ounces. a sample of 20 cartons contained the following amounts in ounces. does sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces at the 5% significance level?
the data is: (32.5, 32.4, 31.8, 28.4, 27.3, 27.2, 28.3, 31.7, 32.8, 31.5, 27.5, 31.8, 28.6, 27.4, 31.7, 32.7, 28.7, 32.1, 32.3, 27.9)
select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
a)  [p-value = 0.997, frh0]
b)  [p-value = 0.002, rh0]
c)  [p-value = 0.003, rh0]
d)  [p-value = 0.003, frh0]
e)  [p-value = 0.997, rh0]

Which expression converts 45 degree to radians

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.

Find the measure of angle y. round your answer to the nearest hundredth. ( type the numerical answer only) a right triangle is shown with one leg measuring 5 and another leg measuring 14. an angle across from the leg measuring 5 is marked y degrees. numerical answers expected!