The reading on a car speedometer has 1.6% maximum error the speed limit on the road is 65 miles per hour

A) the speedometer reads 64 miles per hour is it possible that the cat is going over the speed limit

B) the speedometer reads 64 miles per hour is the car definitely going over the speed limit

For A) it is possible that the speed the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Step-by-step explanation:

Data provided in the question:

Maximum error on a car speedometer = 1.6% = 0.016

Maximum Speed limit on the road = 65 miles per hour

Now,

The error will be ± 1.6%

Now,

When the speedometer reads 64 miles per hour

The possible speed of the car can be

64 miles per hour + Error

= 64 + [0.016 * 64]

= 64 + 1.024

= 65.024 miles per hour

or

The speed can be

64 miles per hour - Error

= 64 - [0.016 * 64]

= 64 - 1.024

= 62.976 miles per hour

Hence,

For A) it is possible that the speed the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.