Answered

Get the most out of your questions with IDNLearn.com's extensive resources. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

Select all the correct answers.

Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends. They conducted a series of usage tests, known as double rubs, on 100 pieces of each type of material. The following scales are used for this type of testing:

\begin{tabular}{|l|c|}
\hline \multicolumn{1}{|c|}{ Fabric Grade } & \begin{tabular}{c}
Number of Double Rubs \\
(in thousands)
\end{tabular} \\
\hline Heavy duty & [tex]$15+$[/tex] \\
\hline Medium duty & [tex]$9-15$[/tex] \\
\hline Light duty & [tex]$3-9$[/tex] \\
\hline Delicate duty & [tex]$\ \textless \ 3$[/tex] \\
\hline
\end{tabular}

After performing the tests on each fabric, researchers found that on average, fabric A lasted through 7,900 double rubs and fabric B lasted through 9,200 double rubs. The marketing department wants to advertise that both fabrics are tested and approved for medium-duty use.

Which statements are true about this situation?

A. Fabric A is a more durable fabric because it has a lower double rub rating than fabric B.

B. Neither fabric meets the requirements of a medium-duty fabric.

C. Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

D. The sales department can refer to fabric A as a medium-duty fabric.

E. The sales department can refer to fabric B as a medium-duty fabric.

Sagot :

GinnyAnsweridn
Let's analyze each statement step-by-step and compare it to the given conditions and results.

1. Fabric A is a more durable fabric because it has a lower double rub rating than fabric B.
- Durability Consideration: A lower double rub rating implies less durability. Given that fabric A has 7,900 double rubs and fabric B has 9,200 double rubs on average, fabric A is not more durable than fabric B.
- Conclusion: This statement is false.

2. Neither fabric meets the requirements of a medium-duty fabric.
- Medium-Duty Requirement: Medium-duty fabric should have 9,000 to 15,000 double rubs. Fabric A has 7,900 double rubs which makes it a light-duty fabric, and fabric B has 9,200 double rubs which falls within the medium-duty range.
- Conclusion: This statement is false because fabric B does meet the requirements of a medium-duty fabric.

3. Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
- Durability Consideration: Since fabric B has a higher double rub rating of 9,200 compared to fabric A's 7,900, fabric B is indeed more durable.
- Conclusion: This statement is true.

4. The sales department can refer to fabric A as a medium-duty fabric.
- Fabric A's Rating: Fabric A has 7,900 double rubs, which fits within the light-duty category (3,000 to 9,000 double rubs).
- Conclusion: This statement is false because fabric A is a light-duty fabric, not a medium-duty fabric.

5. The sales department can refer to fabric B as a medium-duty fabric.
- Fabric B's Rating: Fabric B has 9,200 double rubs, which fits within the medium-duty category (9,000 to 15,000 double rubs).
- Conclusion: This statement is true.

To summarize, the true statements about this situation are:
- Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.
- The sales department can refer to fabric B as a medium-duty fabric.
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.