Write an equation in standard form that has a slip of 6 and passes through (-1,3)
1 answer:
Answer:
<h2>6x - y = -9</h2>Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
<em />
We have
Substitute:
Convert to the standard form <em>Ax + By = C</em>:
<em>use the distributive property </em><em>a(b + c) = ab + ac</em>
<em>add 3 to both sides</em>
<em>subtract 6x from both sides</em>
<em>change all signs</em>
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Answer:
The probability that the value of P will be less than 0.81 is 0.7642.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
The standard deviation of this sampling distribution of sample proportion is:
Given:
<em>n</em> = 100
<em>p</em> = 0.78
Since <em>n</em> = 100 > 30, according to the central limit theorem the sampling distribution of sample proportion follows a Normal distribution.
Compute the value of as follows:
*Use a <em>z</em>-table for the probability.
Thus, the probability that the value of P will be less than 0.81 is 0.7642.