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Vladimir79 [104]
3 years ago
13

Vertex A in quadrilateral ABCD lies at (-3, 2). If you rotate ABCD 180° clockwise about the origin, what will be the coordinates

of A′ of the rotated quadrilateral A′B′C′D′?
A. (3, -2)
B. (-3, 2)
C. (-2, 3)
D. (-3, -2)
Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

A. (3, -2)

Step-by-step explanation:

A 180° rotation about the origin places an object in the quadrant diagonal to the one it started in.  Moving the object two 90° turns, will place it in a coordinate that will make the values of 'x' and 'y' opposite to the initial value.  In this case, vertex A has an initial point of (-3, 2), so after a 180° rotation, it would be (3, -2).

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Answer:

Step-by-step explanation:

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For x = 53 and s = 4.6

The test statistics can be computed as:

Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }

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Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }

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Decision: p-value is greater than significance level; do not reject \mathbf{H_o}

Conclusion: \  There  \ is \  insufficient \  evidence  \  to \  conclude \  that \ \mu < 55

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