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Svetach [21]
3 years ago
9

37. Rectangle ABCD is graphed on a coordinate

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

AC # A'B'

Step-by-step explanation:

While solving the above problem one must keep in mind that

  • Reflection along Y-axis would just make the rectangle upside down at the same distance from X-axis in the down direction.

Thus, from the figure it becomes clear that

  • AB ∦ B’D’
  • CD║A’B’
  • BD ∦ C’D’

Only statement that comes out true is the third statement which states that AC is not parallel to A’B’

Since the diagonal of a rectangle can not be parallel to one of its side (though the side in question is side of the same rectangle reflected in y axis)

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Step-by-step explanation:

So, the following are the scores: 74

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Let,\;the\;total\;sum\;of\;the\;scores\;be:\sum x =1149

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Then, let the size of the scores be n : 15.

Then, we have to find the mean.

                                      \bar{x}=\frac{\sum x}{n}

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Then,\;we\;have\;to\;find\;standard\;deviation:S=\sqrt{\frac{\sum x^2-n.(\bar{x})^2}{n-1} }

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The\;degree\;of\;freedom:n-1=14

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and\;the\;critical\;value:t_{\frac{\alpha}{2} }=1.7613

Finally:\\=\bar{x}\;\pm\;t_{\frac{\alpha}{2} }\;\frac{S}{\sqrt{n} }\\=(71.4699, 81.7301)

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