12x-3y=-3 6x+y=1Solving systems of equations
2 answers:
Solve the second equation for y
Substitute the given value of y into the first equation
Distribute -3 through the parentheses
Cancel equal terms on both sides of the equation
Collect like terms then divide both sides of equation by 30
Substitute the given value of x into the equation y=1-6x
Solve for y
The possible solution of the system is the ordered pair (x,y)
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THIS IS THE COMPLETE QUESTION BELOW;
The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.
Find the margin of error for the confidence interval for the population mean with a 98% confidence level.
z0.10 z0.05 z0.025 z0.01 z0.005
1.282 1.645 1.960 2.326 2.576
You may use a calculator or the common z values above. Round the final answer to two decimal places.
Answer
Margin error =210.8
Given:
standard deviation of 425
sample mean x=1520 dollars.
random sample n= 22
From the question We need to to calculate the margin of error for the confidence interval for the population mean .
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