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HACTEHA [7]
1 year ago
14

A preimage can never be congruent to Which of the following is the notation for a translation that moves a figure 2 units right

and 2 units up?
(x, y) → (2x, 2x)

(x, y) → (x − 2, y − 2)

(x, y) →

(x, y) → (x + 2, y + 2)its image.
Mathematics
1 answer:
DIA [1.3K]1 year ago
3 0

The notation for the translation is (x, y) → (x + 2, y + 2)

<h3>How to determine the translation?</h3>

The translations are given as:

  • 2 units right
  • 2 units up

The above implies that we add 2 to the x coordinate and 2 to the y coordinate.

So, we have:

(x, y) → (x + 2, y + 2)

Hence, the notation for the translation is (x, y) → (x + 2, y + 2)

Read more about translation at:

brainly.com/question/26238840

#SPJ1

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The 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the average using the finite correction factor is:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}

The information provided is:

N=1500\\n=183\\\sigma=1.47\\\bar x=3.3

The critical value of <em>z</em> for 95% confidence level is,

<em>z</em> = 1.96

Compute the 95% confidence interval for the average number of years until the first major repair as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\cdot\sqrt{\frac{N-n}{N-1}}

     =3.3\pm 1.96\times\frac{1.47}{\sqrt{183}}\times\sqrt{\frac{1500-183}{1500-1}}\\\\=3.3\pm 0.19964\\\\=(3.10036, 3.49964)\\\\\approx (3.1, 3.5)

Thus, the 95% confidence interval for the average number of years until the first major repair is (3.1, 3.5).

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