A local university claims that the incoming freshman class consists of students with a mean GPA of 3.4 with a standard deviation of 0.35. They are going to randomly place the freshmen into orientation groups of size 30. What is the probability that one of these groups has a mean GPA of 3.55 or higher?

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

Ahyperbola centered at the origin has a vertex at (-6,0) and a focus at (10,0)

Quadrilateral ghij has coordinates g(5, 1), h(4, -3), i(6, -1), and j(2, 1). if the quadrilateral is reflected over the line y = x, what are the coordinates of h'?