If a^x=b^y=(ab)^z prove that xy=z(x+y)

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.

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

Convert the mixed numbers into improper fractions. convert the improper fraction to mixed numbers.