Alice gardener wants to build a rectangular enclosure with a dividing fence in the middle of the rectangle. On one side, she plans to put some goats, on the other side she wants to raise some vegetables. The fence along the outside of the rectangle costs $3 per foot, but the dividing fence costs $12 per foot. (a) Alice decides to spend $240 on the fencing, what is the maximum area she can enclose? Justify your answer.

(b) If Alice decided she wants to enclose 300 square feet, what is the minimum cost?

Pokój na planie w skali 1: 100 jest prostokątem i ma wymiary 5,2cmx4,4cm. jaką powierzchnię w m2 ma pokój? ile m bieżących wykładziny dywanowej o szerokości 5m trzeba kupić by wyłożyć cały pokój jednym kawałkiem przy minimalnych stratach ? ile zapłacimy za wykładzinę jeśli 1m2 kosztuje 30 zł ?

Jeffery conducted a survey in his school and found that 30 of the 50 eighth grade students' favorite subject is mathematics. based on the results, jeffery concluded that out of the 200 students in his school, 120 students' favorite subject is mathematics. select the statement that is true about jeffery's conclusion. a. jeffery's conclusion is not valid because the sample was biased since only 200 students were surveyed. b. jeffery's conclusion is valid because the sample was random since all of the students were eighth grade students. c. jeffery's conclusion is valid because the sample was random. d. jeffery's conclusion is not valid because the sample was biased since all of the students were eighth grade students.

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.