In which
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Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of and the second line has a slope of
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that for the first line, which means that the slope of the second line is
. With this, we have the following equation for our new line:
where is the Y-intercept that we now need to determine with the coordinates given in the problem statement,
:
Finally, we can create our line:
Answer:
0.13591.
Step-by-step explanation:
We re asked to find the probability of randomly selecting a score between 1 and 2 standard deviations below the mean.
We know that z-score tells us that a data point is how many standard deviation above or below mean.
To solve our given problem, we need to find area between z-score of -2 and -1 that is .
We will use formula to solve our given problem.
Using normal distribution table, we will get:
Therefore, the probability of randomly selecting a score between 1 and 2 standard deviations below the mean would be 0.13591.