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Empirical rule dictates that, in a Bell-shaped distribution, 95% of data lies within 2 standard deviation on either side of the mean.
Therefore,
Lower value = mean-2SD = 70-2*8 = 70-16 = 54
Upper value = mean+2SD = 70+2*8 = 70+16 = 86
Then, 95% of the data lies between $54 and 84. These values can also be taken as the true mean of the population considering 95% confidence when sample mean has been calculated. In this regard, 2SD can be regarded as the margin error.
Answer:
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Answer:
<em>The lines are perpendicular. </em><em>Option B.</em>
Explanation:
<u>Equation of the Line</u>
One of the characteristics of the line is its slope. It can be determined in two ways:
* From the equation y=mx+b, the m is the slope. The given equation is y=4x-5. Thus, the slope of this line is m=4.
* Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

The points are (3,4) and (7,3), thus the slope is:

A. For two lines to be parallel, their slopes must be equal. Since m1=4 and m2=-1/4, the lines are not parallel. Incorrect
B. For two lines to be perpendicular, their slopes must meet the condition:

4*(-1/4)=-1
Both lines are perpendicular. Correct choice
D. Since choice B. is correct, this cannot be true. Incorrect
Answer:
C.) y/2
Step-by-step explanation:
We can simplify (x+3)/3 to x/3 + 3/3, then simplify (y+2)/2 to y + 2/2, and since 2/2 and 3/3 are both 1, so we can say that x/3 + 1 = y/2 + 1, meaning that x/3 = y/2.