Let g be the set g = {x = a + b squareroot 2 | a, b elementof q} with operation x rightarrow y = xy, i. e., ordinary multiplication. is (g, x) a group? if not, can we change the definition of g slightly to make this work as a group?

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cxd)(x)

The american academy of pediatrics wants to conduct a survey of recently graduated family practitioners to assess why they did not choose pediatrics for their specialization. provide a definition of the population, suggest a sampling frame, and indicate the appropriate sampling unit.

Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?