The 2015 american time use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estimated they get. the times follow the normal distribution with mean 529.9 minutes and standard deviation 135.6 minutes. an srs of 100 of the participants has a mean time of x¯=514.4 minutes. a second srs of size 100 has mean x¯=539.3 minutes. after many srss, the values of the sample mean x¯ follow the normal distribution with mean 529.9 minutes and standard deviation 13.56 minutes.(a) what is the population? a. the population is 135.6 million respondents to the american time use survey. b. the population is the 100 participants in the srs. c. the population is the 10,900 respondents to the american time use survey. d. the population is all americans who sleep through the night.

Consider circle h with a 3 centimeter radius. if the length of minor arc what is the measure of zrst?

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.

Consider an example of a deck of 52 cards: example set of 52 playing cards: 13 of each suit clubs, diamonds, hearts, and spades ace 2 3 4 5 6 7 8 9 10 jack queen king clubs diamonds hearts spades what is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.