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 : 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 =
`(18)/(50)* 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 %

Answer 2

Answer: 37.5%

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}}*100`

`=(18)/(48)*100=37.5\%`

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