According to the 2010 census data , the population of Texas was about 2.5*10^7 people. The land area of Texas is about 2.6*10^5 m^2. whats the average number of people in square miles in 2010? I think the answer is 9.6x10^12. Will someone please check my work?
Always do a sanity check. There are approximately 7 billion people on the earth. That's 7*10^9. So how could you have 10^12 per square mile in Texas?!?!?
people/mi^2 means divide population by area.
2.5*10^7 / 2.6*10^5 = 0.96 * 10^2 = 96 people/mi^2
you appear to have (sort of) divided the numbers, but you added the exponents, rather than subtracting.
thank you it made that much easier to understand that the answer is 9.6x10^1
It would help if you proofread your questions before you posted them.
10^1 is not area. Did you read oobleck's answer?
eh, PsyDAG? The number is correct. 9.6*10^1 = 96 is the right answer in people/mi^2.
I do agree, however, that there is a typo in the question, since the area of Texas should have been in mi^2, not m^2. 96 people/m^2 would also be pretty crowded!
and "average number of people in square miles" is wrong syntax.
To find the average number of people per square mile in Texas in 2010, we need to divide the total population by the land area.
First, let's convert the land area of Texas from square meters to square miles. To do this, we need to know the conversion factor between these two units.
1 mile = 1609.34 meters (approximately)
1 square mile = 1609.34 meters * 1609.34 meters = 2.59 * 10^6 square meters (approximately)
Now, we can calculate the land area of Texas in square miles:
2.6 * 10^5 m^2 / 2.59 * 10^6 m^2 = 0.1003 square miles (approximately)
Next, we can divide the total population of Texas by the land area to find the average number of people in one square mile:
2.5 * 10^7 people / 0.1003 square miles = 2.495 * 10^8 people per square mile (approximately)
So, according to the calculations, the average number of people in one square mile in Texas in 2010 is approximately 2.495 * 10^8, which is not 9.6 * 10^12.
It is always a good idea to double-check your work and calculations.