Question

transporting a quokka? 20. Car speeds again For the car speed data of Exercise 18, recall that the mean speed recorded was 23.84mph, with a standard deviation of 3.56mph. To see how many cars are speeding, John subtracts 20mph from all speeds. a

Answer 1

The question deals with average speed and its statistical analysis in mathematics, including standard deviation and unit conversions from mph to km/h. Key computations involve identifying speeding using average speed and converting speeds using the formula: Average Speed = Total Distance / Total Time.

Step-by-step explanation:

The question appears to relate to concepts in mathematics, specifically statistics and kinematics. It deals with average speed, standard deviation, and conversions between different units of speed. The calculations involve analyzing vehicle speeds to determine whether they are speeding and converting measurements from miles per hour to kilometers per hour. Average speed is computed by dividing the total distance traveled by the total time taken to travel that distance.

Example Calculation for Conversion:

Converting from miles per hour (mph) to kilometers per hour (km/h) involves multiplying by a conversion factor. Since 1 mile is approximately 1.60934 kilometers, the average speed of 23.84 mph can be converted to km/h by the equation:

23.84 mph × 1.60934 km/mile = 38.37 km/h.

For average speed calculations, such as finding out how far a car has traveled during a certain time or to evaluate a round trip, we use the formula:

Average Speed = Total Distance / Total Time