2 years ago

50 POINTS WILL MARK BRAINLIEST

1 answer:

3 0

Answer: A and B.
The scale factors can be found by writing the corresponding bases of the two rectangles as a ratio, which gives either 2:10 or 10:2. Ratios can also be written as fractions, so the scale factors then become either 1/5 or 5. The answers are A and B.

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How to use the results of part (b) and appropriate computation formulas to compute the sample variances s2 and sample standard d

anygoal [31]

$s^2=\displaystyle\sum\frac{(x-\bar x)^2}{n-1}=\frac1{n-1}\sum(x^2-2x\bar x+{\bar x}^2)=\frac{\displaystyle\sum x^2-2\bar x\sum x+{\bar x}^2}{n-1}$

where $\bar x=22$ is the mean. Since

$\sum x^2=2568$
$\sum x=110$

you have variance

$s^2=\dfrac{2568-2(22)(110)+22^2}{5-1}=37$

and so the standard deiviation is

$s=\sqrt{37}\approx6.083$