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iris [78.8K]
3 years ago
12

What is the distance between (4,8), 6=y+ 2x

Mathematics
1 answer:
docker41 [41]3 years ago
5 0

Answer:

  2√5

Step-by-step explanation:

The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...

  \text{distance}\,=\dfrac{|ax+by+c|}{\sqrt{a^2+b^2}}

The general form of your equation for the line is ...

  2x +y -6 = 0

so the distance to point (x, y) = (4, 8) is ...

  \text{distance}\,=\dfrac{|2\cdot 4+8-6|}{\sqrt{2^2+2^2}}=\dfrac{10}{\sqrt{5}}=2\sqrt{5}

The distance between the point and line is 2√5.

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One indicator of an outlier is that an observation is more than 2.5 standard deviations from the mean. Consider the data value 8
sergij07 [2.7K]

Answer:

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Step-by-step explanation:

For part a,

The mean is 70 and the standard deviation is 5.  This means that 2 standard deviations above the mean is 70+5+5 = 80.

This means that 80 is not an outlier, as it is not more than 2.5 standard deviations above the mean.

For part b,

The mean is 70 and the standard deviation is 3.  This means that 2 standard deviations above the mean is 70+3+3 = 76; 3 standard deviations above the mean is 70+3+3+3 = 79.  80 is more than this, so yes, it is an outlier.

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Step-by-step explanation:

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