Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Let's approach this problem step by step to determine which statements regarding the four states are true.
### Step 1: Calculate Population Densities
First, we need to calculate the population density of each state. Population density is given by the formula:
[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]
Using the provided data:
#### State A:
[tex]\[ \text{Density}_A = \frac{1,055,173}{2,677} \approx 394.16 \, \text{people per km}^2 \][/tex]
#### State B:
[tex]\[ \text{Density}_B = \frac{1,333,089}{36,418} \approx 36.61 \, \text{people per km}^2 \][/tex]
#### State C:
[tex]\[ \text{Density}_C = \frac{3,596,677}{5,543} \approx 648.87 \, \text{people per km}^2 \][/tex]
#### State D:
[tex]\[ \text{Density}_D = \frac{6,745,408}{10,555} \approx 638.93 \, \text{people per km}^2 \][/tex]
### Step 2: Identify Populations and Their Order
Let's list the states in order of their populations:
1. State A: \(1,055,173\)
2. State B: \(1,333,089\)
3. State C: \(3,596,677\)
4. State D: \(6,745,408\)
From this list:
- The state with the lowest population is State A.
- The state with the second-lowest population is State B.
- The state with the second-greatest population is State C.
### Step 3: Evaluate Each Statement
#### Statement 1:
The state with the lowest population has the greatest population density.
- State A (lowest population) has a density of \(394.16 \, \text{people per km}^2\).
- The greatest population density is \(648.87 \, \text{people per km}^2\), which belongs to State C.
This statement is False.
#### Statement 2:
The state with the second-lowest population has the lowest population density.
- State B (second-lowest population) has a density of \(36.61 \, \text{people per km}^2\).
- The lowest population density is indeed \(36.61 \, \text{people per km}^2\), which belongs to State B.
This statement is True.
#### Statement 3:
The state with the lowest population has the lowest population density.
- State A (lowest population) has a density of \(394.16 \, \text{people per km}^2\).
- The lowest population density is \(36.61 \, \text{people per km}^2\), which belongs to State B.
This statement is False.
#### Statement 4:
The state with the second-greatest population has the lowest population density.
- State C (second-greatest population) has a density of \(648.87 \, \text{people per km}^2\).
- The lowest population density is \(36.61 \, \text{people per km}^2\), which belongs to State B.
This statement is False.
### Conclusion
The correct statement is:
The state with the second lowest population has the lowest population density.
### Step 1: Calculate Population Densities
First, we need to calculate the population density of each state. Population density is given by the formula:
[tex]\[ \text{Population Density} = \frac{\text{Population}}{\text{Area}} \][/tex]
Using the provided data:
#### State A:
[tex]\[ \text{Density}_A = \frac{1,055,173}{2,677} \approx 394.16 \, \text{people per km}^2 \][/tex]
#### State B:
[tex]\[ \text{Density}_B = \frac{1,333,089}{36,418} \approx 36.61 \, \text{people per km}^2 \][/tex]
#### State C:
[tex]\[ \text{Density}_C = \frac{3,596,677}{5,543} \approx 648.87 \, \text{people per km}^2 \][/tex]
#### State D:
[tex]\[ \text{Density}_D = \frac{6,745,408}{10,555} \approx 638.93 \, \text{people per km}^2 \][/tex]
### Step 2: Identify Populations and Their Order
Let's list the states in order of their populations:
1. State A: \(1,055,173\)
2. State B: \(1,333,089\)
3. State C: \(3,596,677\)
4. State D: \(6,745,408\)
From this list:
- The state with the lowest population is State A.
- The state with the second-lowest population is State B.
- The state with the second-greatest population is State C.
### Step 3: Evaluate Each Statement
#### Statement 1:
The state with the lowest population has the greatest population density.
- State A (lowest population) has a density of \(394.16 \, \text{people per km}^2\).
- The greatest population density is \(648.87 \, \text{people per km}^2\), which belongs to State C.
This statement is False.
#### Statement 2:
The state with the second-lowest population has the lowest population density.
- State B (second-lowest population) has a density of \(36.61 \, \text{people per km}^2\).
- The lowest population density is indeed \(36.61 \, \text{people per km}^2\), which belongs to State B.
This statement is True.
#### Statement 3:
The state with the lowest population has the lowest population density.
- State A (lowest population) has a density of \(394.16 \, \text{people per km}^2\).
- The lowest population density is \(36.61 \, \text{people per km}^2\), which belongs to State B.
This statement is False.
#### Statement 4:
The state with the second-greatest population has the lowest population density.
- State C (second-greatest population) has a density of \(648.87 \, \text{people per km}^2\).
- The lowest population density is \(36.61 \, \text{people per km}^2\), which belongs to State B.
This statement is False.
### Conclusion
The correct statement is:
The state with the second lowest population has the lowest population density.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.