A math teacher gave her class two tests. The results were 42 percent of the class passed the first test and 50 percent of the class passed the second test. Also, 60 percent of the students in the class who passed the first test passed the second test. What percentage of the class passed both tests? Are the events the class passed the first test and the class passed the second test independent?

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.

2x minus y equals 6, x plus y equals negative 3

Corresponding angles are a. always b. sometimes c. never congruent