what is the equation in slope intercept form of the line that goes through (2,4) and is perpendicular to the line represented by
1 answer:
Answer:
Step-by-step explanation:
The slope-intercept form of a straight line equation is y = mx + c, where m is the slope and c is the y-intercept of the line.
Now, we know that if two straight lines are perpendicular to each other then the product of their slopes will be -1.
So, the equation of a straight line which is perpendicular to the line will be
....... (1), where c' is constant.
Given that the line (1) passes through (2,4) point.
Hence,
⇒ c' = 1.
Therefore, the final equation of the required straight line is . (Answer)
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Answer:
As the sample size increases the standard deviation of the sample decreases and hence the variability of the sample decreases.
Hence the second option is the correct option.
Step-by-step explanation:
i) let the standard deviation of the population be given by σ.
ii) for sample taken from among the population of size n the standard deviation of the sample becomes and so we can see that for the sample the standard deviation of the sample is less than the standard deviation of the sample.
iii) As the sample size increases we can say that the standard deviation of the sample decreases.
iv) the variance , or variability, of a sample is equal to the square of the standard deviation of the sample.
therefore as the sample size increases the standard deviation of the sample decreases and hence the variability of the sample decreases.