If two equations are graphed, how can you find the solution to the system of equations?
1 answer:
Answer:
If the lines intersect, the System of equations has One Solution.
The point of intersection between the lines is the solution of the System of equations.
Step-by-step explanation:
By definition, given a System of Linear equations, if the lines intersect its means that that System of equations has One Solution.
Then, the point of intersection between the lines is the solution of the System of equations.
Observe the graph attached in the exercise.
You can notice that the are two lines which are intersecting each other at a point.
In this case, you can identify that the intersection between those lines are at the following point:
Where:
(Observe the picture attached)
That is the solution of the System of equations.
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Answer:
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is where
and
are the sample proportion and sample size of the first sample, and
and
are the sample proportion and sample size of the second sample.
We see that and
. We also know that a 98% confidence level corresponds to a critical value of
, so we can plug these values into the formula to get our desired confidence interval:
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.