Question

Item 9 A police officer records the speeds of vehicles on a road. What percent of the vehicles were traveling between 46 and 50 miles per hour? Speed (miles per hour) Number of Vehicles 36 - 40 2 41 - 45 14 46 - 50 18 51 - 55 12 56 - 60 4

Answer 1

Answer: 37.5%

Step-by-step explanation:

From the given table, the total number of police vehicles= $2+14+18+12+2=48$

The number of vehicles with speed between 46 and 50 miles per hour=18

Therefore, the percent of vehicles were traveling between 46 and 50 miles per hour

$=\frac{\text{number of vehicles with speed between 46 and 50 miles per hour}}{\text{Total vehicles}}\times100$

$=\frac{18}{48}\times100=37.5\%$

hence, the percent of vehicles were traveling between 46 and 50 miles per hour= 37.5 %

Answer 2

Answer : The percentage of the vehicles travelling at a speed of 46 to 50 miles per hour is, 36 %

Step-by-step explanation :

As we are 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

Total number of vehicles = 2 + 14 + 18 + 12 + 4 = 50

Now we have to calculate the percent of the vehicles were traveling between 46 and 50 miles per hour.

% of the vehicles traveling between 46-50 mile/hr = $\frac{18}{50}\times 100$

% of the vehicles traveling between 46-50 mile/hr = 36 %

Therefore, the percentage of the vehicles travelling at a speed of 46 to 50 miles per hour is, 36 %