Sylvie finds the solution to the system of equations by graphing.
1 answer:
Answer:
From the graph, it is clear that both lines intersect
at x=0 and y=2/3 or (0.667)
Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)
Step-by-step explanation:
Given the system of equations
y=2/3x+1 and y = -2/3 x-1
<u><em>GRAH AND POINT OF INTERSECTION (SOLUTION) </em></u>
The solution graph is attached below.
From the attached solution graph,
- The red line is representing the equation y=2/3x+1
- The blue line is representing the equation y = -2/3 x-1
From the graph, it is clear that both lines intersect
at x=0 and y=2/3 or (0.667)
Thus, the point of intersection is (x, y) = (0, 2/3) or (0, 0.667)
Therefore, the solution is: (x, y) = (0, 2/3) or (0, 0.667)
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Answer:
24.6 < μ < 27.2
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 25.9 - 1.3 = 24.6 pounds.
The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.
So the correct answer is:
24.6 < μ < 27.2