Ateacher wants to know whether the boys in the entire school prefer watching television or playing outdoor games after school. the teacher draws a random sample from the following groups: all school teachers all students on the football team all boys in each grade all students in each grade which of the following groups best represents the population from which she should take a random sample to get the best results for her survey?

Aconstruction worker has rope 9 m long he needs to cut it in pieces that are each 3 /5 m long how many such pieces can he cut without having any rope leftover?

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.

If 5x - 2 = -12, then x = a) -50 b) -4.4 c) -2.8 d) -2