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Allisa [31]
2 years ago
8

50 Points

Mathematics
1 answer:
boyakko [2]2 years ago
8 0

The transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane is (x, y) → (-x, y) option second is correct.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have quadrilateral showing in the picture.

Transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane.

(x, y) → (-x, y)

After the transforming the coordinate according to the transformation rule, we will get the image of the given figure

Thus, the transformation rule applied if the image is of the reflection over the mirror line x=0 for the shape on the coordinate plane is (x, y) → (-x, y) option second is correct.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

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Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the nu
olga_2 [115]

Answer:

a

The probability that the selected joint was judged to be defective by neither of the two inspectors is   P(A' n B' ) = 0.8855

b

The probability that the selected joint was judged to be defective by inspector B but not by inspector A  is  P(A' n B) =0.0403

Step-by-step explanation:

From the question we are told that

   The sample size is n_s =  10000

    The number of outcome for inspector A is  n__{A}} = 742

    The number of outcome for inspector B is  n__{B}} = 745

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The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

      P(A' n B' ) =  1 - P(A u B)

Now

       P(A\ u \ B) = \frac{n(Au B)}{n_s }

substituting values

        P(A\ u \ B) = \frac{1145}{ 10 000 }

So  

      P(A' n B' ) =  1 - \frac{1145}{10 000}

     P(A' n B' ) = 0.8855

the probability that the selected joint was judged to be defective by inspector B but not by inspector A  is mathematically represented as

     P(A' n B) =  P(A \ u \ B) -P(A)

Now

        P(A) =  \frac{n__{A}}{n_s}

substituting values

       P(A) =  \frac{742}{10 000}

So

     P(A' n B) =   \frac{1145}{10 000}  - \frac{742}{10 000}

    P(A' n B) =0.0403

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