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Andre45 [30]
3 years ago
12

Draw the image of △ABC under a dilation whose center is P and scale factor is 1/2

Mathematics
1 answer:
Vesna [10]3 years ago
3 0

Answer:

Step-by-step explanation:

Let the point P is at the origin (0, 0).

Then the coordinates of A, B and C will be (8, 4), (-2, 2) and (4, -4) respectively.

Rule for the dilation of a point by a scale factor = k

(x, y) → (kx, ky)

If k = \frac{1}{2}

Then, A(8, 4) → A'(4, 2)

          B(-2, 2) → B'(-1, 1)

         C(4, -4) → C'(2, -2)

Now we can plot the new image with points A', B' and C'

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Answer:

Step-by-step explanation:

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f=3p+0.12

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The brain volumes ​(cm cubed​) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed. Use the g
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Answer:

Yes, the value 1411.8 cm³ is significantly high.

Step-by-step explanation:

Consider the provided information.

The brain volumes ​(cm cubed​) of 20 brains have a mean of 1111.2 cm cubed and a standard deviation of 125.3 cm cubed.

The range rule of thumb to identify the limits separating values that are significantly low or significantly high is:

The range rule of thumb identifying significant values are as.

Significantly low values are μ-2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2-2(125.3)=860.6

Significantly high values are μ+2σ

Substitute the μ = 1111.2 and σ = 125.3 in above formula.

1111.2+2(125.3)=1361.8

The value is significantly high due to the value 1411.8 cm³ is not lie between the values 860.6 cm³ and 1361.8 cm³.

Hence, Yes, the value 1411.8 cm³ is significantly high.

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Step-by-step explanation:

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