Which shows the correct first step to solving the system of equations in the most efficient manner? 3 x 2 y = 17. X 4 y = 19. X
2 answers:
The correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
The given system of equations is;
The first step would be to rearrange the variables in the second equation so we have a defined expression for x.
We would want to do this so we could then plug in the defined expression for x into the other equation and solve for the other variable.
x + 4y = 19
Rearrange this by getting the 4y to the other side.
We can get 4y on the other side by subtracting 4y from both sides
x + 4y - 4y = 19 - 4y
x = -4y + 19
Hence, the correct first step to solving the system of equations in the most efficient manner is x = -4y +19.
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Answer:
Step-by-step explanation:
Assuming that the confidence interval is (0.688; 0.766)
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
The confidence interval would be given by this formula
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
Use the confidence interval to find the point estimate and margin of error for the proportion
The margin of error is given by :
And for our case we can find the width of the confidence interval like this:
Width =0.766-0.688=0.078
And the estimation for the margin of error would be given by:
Now we can find th point of estimate adding the margin of error to the lower limit of the interval or subtracting the margin of error to the upper limit, like this: