Lily has $18. matt has twice as much of a third of the amount lily has, and carolyn has $23 more than matt has. how much money does carolyn have?

What is the approximate circumference of the circle shown below?

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.

If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)