Answer:
There are 360 possible different routes.
Step-by-step explanation:
Among the 4 locations, different orders are different routes, so the order is important.
This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

How many different routes are possible?
4 locations from a set of 6. So

There are 360 possible different routes.
Answer:
The third choice
Step-by-step explanation:
I graphed it in desmos, this is what comes up:
Answer:
Yes
Step-by-step explanation:
You need convert the 4 feet 8 inches to only inches
4 feet = 48 inches
48 + 8 = 56 inches
So yes
Answer:

Step-by-step explanation:
<u>Step 1: Determine the equation</u>
So we know that our equation does not have a y-intercept which means that it doesn't intersect ANYWHERE on the y-axis. Therefore, this means that our equation will be a straight vertical line that doesn't move side to side and just goes straight up and down. We also know that our point is (3, 6) which means that our x-value will be 3 and this is where the equation will be located.
There are several ways to display our answer where x = 3 is the most common way which basically means give me all of the y-values for the same x value of 3. Another way of saying it is x - 3 = 0 which either way when adding 3 to both sides gives you x = 3 which is what I usually go with.
Answer: 
Answer:
1509
Step-by-step explanation:
We know that, formula for number of samples is,

When nothing is given, we take
and we know that
.
SE = 0.03 (the true proportion should remain withing 3%)
Putting the values we get,


Therefore, the sample required to estimate the true proportion to within 3 percentage points is 1509.