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3 years ago

How do I solve this problem because I don’t understand

Mathematics

1 answer:

Citrus2011 [14]3 years ago

4 0

You are using a^2+b^2=c^2
since c is the hypotenuse

#1 the equation would be 16^2+b^2=34^2
16^2= 256
34^2= 1156
1156-256= 900
b^2=900 (now find square root of 900)
b= 30

You are now trying to find the hypotenuse or c in this so it is simpler

#2 equation - 4^2+2^2=c^2
16+4=c^2
20=c^2
c= 4.27

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Answer:

$Range = 281-256= 25$

In order to calculate the sample deviation we need to calculate the mean given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 265$

And the standard deviation can be calculated with this formula:

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 8.426$

Step-by-step explanation:

For this case we have the following data given:

281, 269, 259, 265, 256, 259, 266

The range is defined as:

$Range = Max -Min$

And if we replace we got:

$Range = 281-256= 25$

In order to calculate the sample deviation we need to calculate the mean given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X= 265$

And the standard deviation can be calculated with this formula"

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 8.426$

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