Asked by Michelle
A speedometer has a percent error of 10%. The actual speed of the car is 40 mph.
Select from the drop-down menus to correctly complete the statement.
The speedometer is likely to show the speed is either
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mph or
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mp
Select from the drop-down menus to correctly complete the statement.
The speedometer is likely to show the speed is either
Choose...
mph or
Choose...
mp
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Given that the speedometer has a percent error of 10% and the actual speed of the car is 40 mph, we can calculate the possible readings on the speedometer.
1. Calculate 10% of the actual speed:
\[
10\% \text{ of } 40 \text{ mph} = 0.10 \times 40 = 4 \text{ mph}
\]
2. Determine the range of possible speeds:
- The speedometer could show a speed that is 10% higher than the actual speed:
\[
40 \text{ mph} + 4 \text{ mph} = 44 \text{ mph}
\]
- It could also show a speed that is 10% lower than the actual speed:
\[
40 \text{ mph} - 4 \text{ mph} = 36 \text{ mph}
\]
Thus, the speedometer is likely to show the speed is either **36 mph** or **44 mph**.
So the completed statement is:
The speedometer is likely to show the speed is either **36** mph or **44** mph.
1. Calculate 10% of the actual speed:
\[
10\% \text{ of } 40 \text{ mph} = 0.10 \times 40 = 4 \text{ mph}
\]
2. Determine the range of possible speeds:
- The speedometer could show a speed that is 10% higher than the actual speed:
\[
40 \text{ mph} + 4 \text{ mph} = 44 \text{ mph}
\]
- It could also show a speed that is 10% lower than the actual speed:
\[
40 \text{ mph} - 4 \text{ mph} = 36 \text{ mph}
\]
Thus, the speedometer is likely to show the speed is either **36 mph** or **44 mph**.
So the completed statement is:
The speedometer is likely to show the speed is either **36** mph or **44** mph.
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