What is the slope of a line perpendicular to the line whose equation is y = 2x + 5?
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Critical probability is the essentially cut-off value. The critical probability when the confidence level of 58% is 0.79.
<h3>What is the critical probability?</h3>Critical probability is the essentially cut-off value that defines the region where the test statistic is unlikely to lie.
As it is given that the confidence level is 58%. therefore, in order to calculate the critical probability, we need to calculate the margin of error within a set of data, and it is given by the formula
where the value of the α is expressed as,
Now, as the confidence interval is given to us, therefore, the value of the alpha can be written as,
Further, the critical probability, assuming a confidence level of 58% is,
Hence, the critical probability is 0.79.
Learn more about Critical Probability:
Answer:
Step-by-step explanation:
It seems this system of equations would be solved easier using the elimination method (the x and y values are lined up).
Multiply everything in the first equation by -2 (we want the 4x to be able to cancel out with a -4x).
Now line up the equations (they are already lined up - convenient) and add them from top to bottom.
The -4x and 4x are opposites, so they cancel out.
Adding 6y and 2y gives you 8y, and adding -12 and 4 gives you -8.
Divide both sides by 8.
Since you have the y-value you can substitute this in to the second (or first equation, it doesn't necessarily matter) equation.
Simplify.
Add 2 to both sides.
Divide both sides by 4.
The final answer is .