Get clear, concise, and accurate answers to your questions on IDNLearn.com. Join our interactive community and access reliable, detailed answers from experienced professionals across a variety of topics.
Sagot :
Sure, let's solve this problem step-by-step.
1. Determine the total number of units in the sample:
The total units in the sample is the sum of the units within tolerance and the units outside tolerance.
[tex]\[ \text{Total units} = 145 \ (\text{units within tolerance}) + 5 \ (\text{units outside tolerance}) = 150 \ \text{units} \][/tex]
2. Calculate the percentage of units outside the tolerance:
To find the percentage of units outside the tolerance, divide the number of units outside tolerance by the total number of units in the sample and multiply by 100.
[tex]\[ \text{Percentage outside tolerance} = \left( \frac{\text{Units outside tolerance}}{\text{Total units}} \right) \times 100 \][/tex]
Substituting the given values:
[tex]\[ \text{Percentage outside tolerance} = \left( \frac{5}{150} \right) \times 100 \][/tex]
3. Perform the division and multiplication:
[tex]\[ \frac{5}{150} = 0.03333333333333333 \][/tex]
[tex]\[ 0.03333333333333333 \times 100 = 3.3333333333333335 \% \][/tex]
4. Round to the nearest percent:
The result is approximately 3.3333333333333335%, which rounds to the nearest whole number as:
[tex]\[ 3 \% \][/tex]
In conclusion, the percentage of the quality sample that is outside the tolerance is [tex]\(3 \%\)[/tex].
1. Determine the total number of units in the sample:
The total units in the sample is the sum of the units within tolerance and the units outside tolerance.
[tex]\[ \text{Total units} = 145 \ (\text{units within tolerance}) + 5 \ (\text{units outside tolerance}) = 150 \ \text{units} \][/tex]
2. Calculate the percentage of units outside the tolerance:
To find the percentage of units outside the tolerance, divide the number of units outside tolerance by the total number of units in the sample and multiply by 100.
[tex]\[ \text{Percentage outside tolerance} = \left( \frac{\text{Units outside tolerance}}{\text{Total units}} \right) \times 100 \][/tex]
Substituting the given values:
[tex]\[ \text{Percentage outside tolerance} = \left( \frac{5}{150} \right) \times 100 \][/tex]
3. Perform the division and multiplication:
[tex]\[ \frac{5}{150} = 0.03333333333333333 \][/tex]
[tex]\[ 0.03333333333333333 \times 100 = 3.3333333333333335 \% \][/tex]
4. Round to the nearest percent:
The result is approximately 3.3333333333333335%, which rounds to the nearest whole number as:
[tex]\[ 3 \% \][/tex]
In conclusion, the percentage of the quality sample that is outside the tolerance is [tex]\(3 \%\)[/tex].
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.