Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
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
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
