To compare the performance of the two machines, we need to calculate the average number of cycles required to execute a single instruction on each machine.
For the 5-stage pipeline, the average number of cycles per instruction is:
1 ns + (5 instructions * 1 ns * 5% data hazard rate) + (30% branches * 1 ns * 10% misprediction rate) = 1.5 ns
For the 10-stage pipeline, the average number of cycles per instruction is:
0.75 ns + (10 instructions * 0.75 ns * 3% data hazard rate) + (30% branches * 0.75 ns * 10% misprediction rate) = 0.975 ns
The speedup of the 10-stage pipeline over the 5-stage pipeline is:
1.5 ns / 0.975 ns = 1.53
Thus, the 10-stage pipeline is approximately 1.53 times faster than the 5-stage pipeline, taking into account both data hazard and branch misprediction.