Question

select all the correct answers.

researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.

they carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material. these scales are used for this type of testing.

fabric grade	number of double rubs (in thousands)
medium duty	9 – 15
light duty	3 – 9
delicate duty	< 3

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?

• the sales department can refer to fabric a as a medium - duty fabric.
• fabric a is a more durable fabric because it has a lower double rub rating than fabric b.
• neither fabric meets the requirements of a medium - duty fabric.
• the sales department can refer to fabric b as a medium - duty fabric.
• fabric b is a more durable fabric because it has a higher double rub rating than fabric a.

Explanation:

Step1: Analyze Fabric A's double rubs

Fabric A has 7,900 double rubs, which is 7.9 thousand. Medium - duty requires 9 - 15 thousand double rubs. So 7.9 < 9, fabric A does not meet medium - duty.

Step2: Analyze Fabric B's double rubs

Fabric B has 9,200 double rubs, which is 9.2 thousand. Since 9 ≤ 9.2 ≤ 15, fabric B meets medium - duty.

Step3: Analyze durability

Durability is related to the number of double rubs. Higher double rubs mean more durable. Fabric B (9.2 thousand) has higher double rubs than Fabric A (7.9 thousand), so Fabric B is more durable.

Step4: Evaluate each statement

• "The sales department can refer to fabric A as a medium - duty fabric." False, as 7.9 < 9.
• "Fabric A is a more durable fabric because it has a lower double rub rating than fabric B." False, lower double rubs mean less durable.
• "Neither fabric meets the requirements of a medium - duty fabric." False, Fabric B meets.
• "The sales department can refer to fabric B as a medium - duty fabric." True, 9.2 is in 9 - 15.
• "Fabric B is a more durable fabric because it has a higher double rub rating than fabric A." True, 9.2 > 7.9.

Answer:

The sales department can refer to fabric B as a medium - duty fabric.
Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.