Answer: The answer is 36%.
Step-by-step explanation: Given that a police officer records the speeds of vehicles on a road as follows
speed(miles per hour) 36-40 41-45 46-50 51-55 56-60
No. of vehicles 2 14 18 12 4
Number of vehicles travelling at a speed of 46 to 50 miles per hour = 18
and total number of vehicles = 2 + 14 + 18 + 12 + 4 = 50.
Therefore, the percentage of the vehicles travelling at a speed of 46 to 50 miles per hour is given by
[tex]\dfrac{18}{50}\times 100\%=36\%.[/tex]
Thus, the answer is 36%.