Give the steps you would use to find the solutions to the system of equations, then name the solutions. you may solve this graph
1 answer:
We have found one solution to the equations that the two equations intersect at the point (2.5,-1.5).
<h3>What are equations?</h3>The equation is actually a relationship between the numbers and the variables. In this question we have two equations y=2x²-6x+1 and y=-x+1 so by equating them we can find the value of x which is the intersecting point of the two lines.
Now the solution of the equations:-
y=2x²-6x+1
y=-x+1
2x²-6x+1 = -x+1
2x²=5x
x=5/2=2.5
y=-2.5+1=-1.5
Hence the one solution to the equations that the two equations intersect at the point (2.5,-1.5).
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Answer:
Step-by-step explanation:
The 90th percentile of a normally distributed curve occurs at 1.282 standard deviations. Similarly, the 10th percentile of a normally distributed curve occurs at -1.282 standard deviations.
To find the percentile for the television weights, use the formula:
, where
is the average of the set,
is some constant relevant to the percentile you're finding, and
is one standard deviation.
As I mentioned previously, 90th percentile occurs at 1.282 standard deviations. The average of the set and one standard deviation is already given. Substitute ,
, and
:
Therefore, the 90th percentile weight is 5.1282 pounds.
Repeat the process for calculating the 10th percentile weight:
The difference between these two weights is .