Answer:
Liam's rate = 3 meters per second
Edgar's rate = 3.2 meters per second
Edgar swims faster
Step-by-step explanation:
<u>Liam:</u>
The equation
gives the distance, d, in meters that Liam swims with respect to time, t, in seconds.
When 
When 
Rate of change:

Liam's rate is 3 metres per second.
<u>Edgar:</u>
When 
When 
Rate of change:

Edgar's rate is 3.2 metres per second.
Edgar swims faster.
Answer:
If you subtract -2x+y=0 and -7x+3y=2 you will get 5x-2y=-2
Step-by-step explanation:
Subtract -2x and -7x which is 5x
Subtract y and 3y which is -2y
Subtract 0 and 2 which is -2
Result: 5x-2y=-2
Hope this helps!
Answer:
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 21.6 - 0.3 = $21.3.
The upper end of the interval is the sample mean added to M. So it is 21.6 + 0.3 = $21.9.
The 80% confidence interval for the mean per capita income in thousands of dollars is between $21.3 and $21.9.
Answer:
6.7082
Step-by-step explanation:
Distance Formula=√(x2−x1)^2+(y2−y1)^2
√(-4-2)^2+(6-3)^2
-4 - 2= -6 squared is -36
6-3= 3 squared is 9
add 36 and 9 which = 45
√45 = 6.7082