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(a) A car speedometer has a 7% uncertainty. What is the range of possible speeds (in km/h) when it reads 100 km/h? X km/h (lowest) X km/h (highest) (b) Convert this to miles per hour. X mi/h (lowest)

User Sberezin
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Final answer:

The range of possible speeds for a car speedometer with a 7% uncertainty at a reading of 100 km/h is between 93 km/h and 107 km/h. To convert the lower speed to miles per hour, we use the conversion factor 1 km = 0.6214 mi, which gives us 57.79 mi/h.

Step-by-step explanation:

If a car speedometer has a 7% uncertainty and it reads 100 km/h, we need to calculate the range of possible speeds to account for this uncertainty. This means that the actual speed can be 7% less or 7% more than 100 km/h. To find this range, we'll do the following calculations:

Lower range: 100 km/h - (7/100 × 100 km/h) = 93 km/h

Higher range: 100 km/h + (7/100 × 100 km/h) = 107 km/h

So the range of possible speeds is between 93 km/h and 107 km/h.

To convert this range to miles per hour, we use the conversion factor 1 km = 0.6214 mi. For the lowest possible speed: 93 km/h × 0.6214 mi/km = 57.79 mi/h (rounded to two decimal places).

User Pete D
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