Discover how IDNLearn.com can help you find the answers you need quickly and easily. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.
Sagot :
To determine how to group the class values based on accuracy relative to aluminum's true density of [tex]\(2.7 \, \text{g/ml}\)[/tex], we can start by analyzing each recorded density value:
- [tex]\(1^{\text{st}}\)[/tex] hour: [tex]\(3.1 \, \text{g/ml}\)[/tex]
- [tex]\(2^{\text{nd}}\)[/tex] hour: [tex]\(3.05 \, \text{g/ml}\)[/tex]
- [tex]\(3^{\text{rd}}\)[/tex] hour: [tex]\(1.9 \, \text{g/ml}\)[/tex]
- [tex]\(4^{\text{th}}\)[/tex] hour: [tex]\(235 \, \text{g/ml}\)[/tex]
- [tex]\(5^{\text{th}}\)[/tex] hour: [tex]\(4.2 \, \text{g/ml}\)[/tex]
- [tex]\(6^{\text{th}}\)[/tex] hour: [tex]\(4.0 \, \text{g/ml}\)[/tex]
The true density of aluminum is [tex]\(2.7 \, \text{g/ml}\)[/tex].
Next, we will classify the values into two groups:
1. Values under the true density ([tex]\(2.7 \, \text{g/ml}\)[/tex]).
2. Values over the true density ([tex]\(2.7 \, \text{g/ml}\)[/tex]).
Sorting the density values, we get the following classifications:
Group 1: Values under the true density
- [tex]\(3^{\text{rd}}\)[/tex] hour: [tex]\(1.9 \, \text{g/ml}\)[/tex]
Group 2: Values over the true density
- [tex]\(1^{\text{st}}\)[/tex] hour: [tex]\(3.1 \, \text{g/ml}\)[/tex]
- [tex]\(2^{\text{nd}}\)[/tex] hour: [tex]\(3.05 \, \text{g/ml}\)[/tex]
- [tex]\(4^{\text{th}}\)[/tex] hour: [tex]\(235 \, \text{g/ml}\)[/tex]
- [tex]\(5^{\text{th}}\)[/tex] hour: [tex]\(4.2 \, \text{g/ml}\)[/tex]
- [tex]\(6^{\text{th}}\)[/tex] hour: [tex]\(4.0 \, \text{g/ml}\)[/tex]
Now, we compare these groups with the provided answer options:
Option a:
- Group: [tex]\(1^{\text{st}}, 3^{\text{rd}}, 5^{\text{th}},\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with one recorded decimal place in their values
- Group: [tex]\(2^{\text{nd}}\)[/tex] and [tex]\(4^{\text{th}}\)[/tex] hours, with two recorded decimal places in their values
Option b:
- Group: [tex]\(3^{\text{rd}}\)[/tex] and [tex]\(4^{\text{th}}\)[/tex] hours, with values under the true density
- Group: [tex]\(1^{\text{st}}, 2^{\text{nd}}, 5^{\text{th}},\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with values over the true density
Option c:
- Group: [tex]\(3^{\text{rd}}\)[/tex] hour, with a 1 value
- Group [tex]\(4^{\text{th}}\)[/tex] hour, with a 2 value
- Group [tex]\(1^{\text{st}}\)[/tex] and [tex]\(2^{\text{nd}}\)[/tex] hours, with 3 values
- Group [tex]\(5^{\text{th}}\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with 4 values
Option d:
- Group all classes as accurate
Based on the classifications, the correct grouping aligns with Option b:
- Group: [tex]\(3^{\text{rd}}\)[/tex] hour ([tex]\(1.9 \, \text{g/ml}\)[/tex]) with a value under the true density.
- Group: [tex]\(1^{\text{st}}\)[/tex] hour ([tex]\(3.1 \, \text{g/ml}\)[/tex]), [tex]\(2^{\text{nd}}\)[/tex] hour ([tex]\(3.05 \, \text{g/ml}\)[/tex]), [tex]\(4^{\text{th}}\)[/tex] hour ([tex]\(235 \, \text{g/ml}\)[/tex]), [tex]\(5^{\text{th}}\)[/tex] hour ([tex]\(4.2 \, \text{g/ml}\)[/tex]), and [tex]\(6^{\text{th}}\)[/tex] hour ([tex]\(4.0 \, \text{g/ml}\)[/tex]) with values over the true density.
Final Answer:
b. Group: [tex]\(3^{\text{rd}}\)[/tex] and [tex]\(4^{\text{th}}\)[/tex] hours, with values under the true density
Group: [tex]\(1^{\text{st}}, 2^{\text{nd}}, 5^{\text{th}},\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with values over the true density
- [tex]\(1^{\text{st}}\)[/tex] hour: [tex]\(3.1 \, \text{g/ml}\)[/tex]
- [tex]\(2^{\text{nd}}\)[/tex] hour: [tex]\(3.05 \, \text{g/ml}\)[/tex]
- [tex]\(3^{\text{rd}}\)[/tex] hour: [tex]\(1.9 \, \text{g/ml}\)[/tex]
- [tex]\(4^{\text{th}}\)[/tex] hour: [tex]\(235 \, \text{g/ml}\)[/tex]
- [tex]\(5^{\text{th}}\)[/tex] hour: [tex]\(4.2 \, \text{g/ml}\)[/tex]
- [tex]\(6^{\text{th}}\)[/tex] hour: [tex]\(4.0 \, \text{g/ml}\)[/tex]
The true density of aluminum is [tex]\(2.7 \, \text{g/ml}\)[/tex].
Next, we will classify the values into two groups:
1. Values under the true density ([tex]\(2.7 \, \text{g/ml}\)[/tex]).
2. Values over the true density ([tex]\(2.7 \, \text{g/ml}\)[/tex]).
Sorting the density values, we get the following classifications:
Group 1: Values under the true density
- [tex]\(3^{\text{rd}}\)[/tex] hour: [tex]\(1.9 \, \text{g/ml}\)[/tex]
Group 2: Values over the true density
- [tex]\(1^{\text{st}}\)[/tex] hour: [tex]\(3.1 \, \text{g/ml}\)[/tex]
- [tex]\(2^{\text{nd}}\)[/tex] hour: [tex]\(3.05 \, \text{g/ml}\)[/tex]
- [tex]\(4^{\text{th}}\)[/tex] hour: [tex]\(235 \, \text{g/ml}\)[/tex]
- [tex]\(5^{\text{th}}\)[/tex] hour: [tex]\(4.2 \, \text{g/ml}\)[/tex]
- [tex]\(6^{\text{th}}\)[/tex] hour: [tex]\(4.0 \, \text{g/ml}\)[/tex]
Now, we compare these groups with the provided answer options:
Option a:
- Group: [tex]\(1^{\text{st}}, 3^{\text{rd}}, 5^{\text{th}},\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with one recorded decimal place in their values
- Group: [tex]\(2^{\text{nd}}\)[/tex] and [tex]\(4^{\text{th}}\)[/tex] hours, with two recorded decimal places in their values
Option b:
- Group: [tex]\(3^{\text{rd}}\)[/tex] and [tex]\(4^{\text{th}}\)[/tex] hours, with values under the true density
- Group: [tex]\(1^{\text{st}}, 2^{\text{nd}}, 5^{\text{th}},\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with values over the true density
Option c:
- Group: [tex]\(3^{\text{rd}}\)[/tex] hour, with a 1 value
- Group [tex]\(4^{\text{th}}\)[/tex] hour, with a 2 value
- Group [tex]\(1^{\text{st}}\)[/tex] and [tex]\(2^{\text{nd}}\)[/tex] hours, with 3 values
- Group [tex]\(5^{\text{th}}\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with 4 values
Option d:
- Group all classes as accurate
Based on the classifications, the correct grouping aligns with Option b:
- Group: [tex]\(3^{\text{rd}}\)[/tex] hour ([tex]\(1.9 \, \text{g/ml}\)[/tex]) with a value under the true density.
- Group: [tex]\(1^{\text{st}}\)[/tex] hour ([tex]\(3.1 \, \text{g/ml}\)[/tex]), [tex]\(2^{\text{nd}}\)[/tex] hour ([tex]\(3.05 \, \text{g/ml}\)[/tex]), [tex]\(4^{\text{th}}\)[/tex] hour ([tex]\(235 \, \text{g/ml}\)[/tex]), [tex]\(5^{\text{th}}\)[/tex] hour ([tex]\(4.2 \, \text{g/ml}\)[/tex]), and [tex]\(6^{\text{th}}\)[/tex] hour ([tex]\(4.0 \, \text{g/ml}\)[/tex]) with values over the true density.
Final Answer:
b. Group: [tex]\(3^{\text{rd}}\)[/tex] and [tex]\(4^{\text{th}}\)[/tex] hours, with values under the true density
Group: [tex]\(1^{\text{st}}, 2^{\text{nd}}, 5^{\text{th}},\)[/tex] and [tex]\(6^{\text{th}}\)[/tex] hours, with values over the true density
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.
