Myamattox31idn
Answered

IDNLearn.com: Your go-to resource for finding expert answers. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

Find the absolute and relative errors in the following situation.
The actual distance to a certain town is 41.7 miles, but your odometer reads 42.4 miles.
The absolute error is
mile(s). (Type an integer or decimal rounded to the nearest tenth as needed.)

Sagot :

GinnyAnsweridn
Sure! Let's break down the process to find the absolute and relative errors.

Step-by-Step Solution:

1. Identify the actual value and the measured value:
- The actual distance to the town is [tex]\(41.7\)[/tex] miles.
- The measured distance on the odometer is [tex]\(42.4\)[/tex] miles.

2. Calculate the absolute error:
- The absolute error is the difference between the measured value and the actual value.
- Formula: [tex]\(|\text{measured value} - \text{actual value}|\)[/tex]
- Plugging in the values: [tex]\(|42.4 - 41.7|\)[/tex]
- This gives us an absolute error of [tex]\(0.7\)[/tex] mile(s).

Therefore, the absolute error is [tex]\(0.7\)[/tex] mile(s).

3. Calculate the relative error:
- The relative error is the absolute error divided by the actual value.
- Formula: [tex]\(\frac{\text{absolute error}}{\text{actual value}}\)[/tex]
- Plugging in the values: [tex]\(\frac{0.7}{41.7}\)[/tex]
- This gives us a relative error of approximately [tex]\(0.017\)[/tex].

Therefore, the relative error is [tex]\(0.017\)[/tex].

Summary:
- The absolute error is [tex]\(0.7\)[/tex] mile(s).
- The relative error is [tex]\(0.017\)[/tex].
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.