On a piece of paper graph this system of equations y=x-8 y=x^2-2x-3
1 answer:
Answer:
The system of equations has no solution
The graph in the attached figure
Step-by-step explanation:
we have
-----> equation A
----> equation B
using a graphing tool
we know that
The solution of the system of equations is the intersection point both graphs
In this problem the graphics do not intersect
see the attached figure
therefore
The system of equations has no solution
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The formula for midpoint is
(,
)
Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.
In this case:
^^^Plug in these number into the formula given above...
(,
)
To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation () and set it equal to the x-value of the midpoint (-5). Then you must solve for x:
= -5
3 + x = -5 * 2
3 + x = -10
x = -10 - 3
x = -13
To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation() and set it equal to the y-value of the midpoint (3). Then you must solve for y:
= 3
-2 + y = 3 * 2
-2 + y = 6
y = 6 + 2
y = 8
The coordinate of Preston's house is:
(-13, 8)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
Difference:
Confidence interval:
In which z is the zscore that has a pvalue of , with
being 1 subtracted by the confidence level.
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
Lower bound of the interval:
Upper bound of the interval:
The 95% confidence interval for the difference is (-0.1888, 0.0202).