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The mass of a car is 2820kg rounded to the nearest kilogram. The mass of a person is 62.5kg rounded to 1 decimal place. Write the error interval for the combined mass, m, of the car and the person in the form a<=m.

User Romellem
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Final answer:

The error interval for the combined mass of the car and person is 2872.95kg <= m <= 2892.05kg.

Step-by-step explanation:

To determine the error interval for the combined mass of the car and the person, we need to consider the possible range of values for each individual mass. For the car, the mass is given as 2820kg rounded to the nearest kilogram. This means the actual mass could be anywhere between 2810.5kg and 2829.5kg. For the person, the mass is given as 62.5kg rounded to 1 decimal place. This means the actual mass could be anywhere between 62.45kg and 62.55kg.

To find the error interval for the combined mass, we need to add the lower bound for the car's mass to the lower bound for the person's mass, and also add the upper bound for the car's mass to the upper bound for the person's mass. This gives us a lower bound of 2810.5kg + 62.45kg = 2872.95kg and an upper bound of 2829.5kg + 62.55kg = 2892.05kg.

Therefore, the error interval for the combined mass, m, is given by 2872.95kg <= m <= 2892.05kg.

User James Ching
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