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saw5 [17]
2 years ago
5

If the endpoints of AB are located at (0,7) and (8,8) what is the length of AB?

Mathematics
1 answer:
Leokris [45]2 years ago
5 0

Answer:

√65

Step-by-step explanation:

The distance formula can be represented as

\sqrt{(x_{2} -x_1)^2 + (y_2-y_1)^2}

Taking (8,8) as (x₂, y₂) and (0,7) as (x₁, y₁), we have

\sqrt{(8 -0)^2 + (8-7)^2}\\= \sqrt{8^2 + 1^2}\\= \sqrt{65}

as our answer

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Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

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Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

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\bar {x}=\frac{1}{15}*(3810)

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Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

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Step-by-step explanation:

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