Answer:
The exponential growth function is 
Step-by-step explanation:
Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.
To find: exponential growth function that models the growth of the city
Solution:
The exponential growth function is given by 
Here, P denotes total population after time t
denotes initial population
k denotes rate of growth
t denotes time
As
,

As 

Hi there!
Everything looks correct except for the step to get to -6x < 36. Here you put multiplication property of order, and to get here you have to add 30 to both sides, so it would actually be the addition property of order.
I hope I helped!
$291-$210=$81
$81/0.15= 540 miles
I believe the answer is 540 mi.
Answer:

Now we can find the second moment with this formula:

And replacing we got:

The variance would be given by:
![Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%2021.4%20-%5B3.8%5D%5E2%20%3D%206.96)
And the deviation would be:

Step-by-step explanation:
For this case we have the following distribution given:
X 1 2 7
P(X) 1/5 2/5 2/5
We need to begin finding the mean with this formula:

And replacing we got:

Now we can find the second moment with this formula:

And replacing we got:

The variance would be given by:
![Var(X) =E(X^2) -[E(X)]^2 = 21.4 -[3.8]^2 = 6.96](https://tex.z-dn.net/?f=%20Var%28X%29%20%3DE%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%2021.4%20-%5B3.8%5D%5E2%20%3D%206.96)
And the deviation would be:
