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harina [27]
3 years ago
15

The question asks select all the sequences of transformations that could take figure P to figure Q

Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

A reflection then a different reflection.

Step-by-step explanation:

Figure Q is the result of applying two distinct and consecutive operations on Figure P: (i) <em>x-Axis Reflection</em>, (ii) <em>y-Reflection</em>. Now we explained what each operation consists in.

x-Axis Reflection:

(x, y) \longrightarrow (x, -y), \forall\,(x,y) \in \mathbb{R}^{2}

y-Axis Reflection:

(x, y) \longrightarrow (-x, y), \forall \,(x,y)\in \mathbb{R}^{2}

Hence, the correct answer is "a reflection then a different reflection".

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We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
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Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
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