Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
We are given the population of Australia and its area. To calculate the number of people per square mile we simply divide as follows
[tex]\frac{\text{population}}{\text{area}}=\frac{2.15\cdot10^7}{2.95\cdot10^{6}}=\frac{2.15}{2.95}\cdot\frac{10^{7}}{10^{6}}[/tex]To calculate this number, first we use the following property
[tex]\frac{10^a}{10^b}=10^{a-b}[/tex]So
[tex]\frac{10^7}{10^{6}}=10^{7-6}=10^1=10[/tex]Then, we have
[tex]\frac{2.15\cdot10^7}{2.95\cdot10^{6}}=\frac{2.15}{2.95}\cdot10[/tex]Note that 2.15 = 215/100 and 2.95=295/100. So we have
[tex]\frac{2.15}{2.95}\cdot10=\frac{\frac{215}{100}}{\frac{295}{100}}\cdot10[/tex]Using the property
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}[/tex]we get
[tex]\frac{\frac{215}{100}}{\frac{295}{100}}\cdot10=\frac{215\cdot100}{295\cdot100}\cdot10=\frac{215}{295}\cdot10=\frac{43\cdot5}{59\cdot5}\cdot10=\frac{43}{59}\cdot10[/tex]Using a calculator we get
[tex]\frac{43}{59}\cdot10\approx7.28[/tex]so the approximate average number of people per square mile in Australia is 7.28 people per square mile
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
