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Igoryamba
3 years ago
11

Changes in Mean

Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0
It decreases by 0.5
The original mean was 5.5
The new mean is 5
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Select all the statements that are true
masya89 [10]

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of \frac{3}{2} centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

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By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

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Option 1

M'N' is shorter than MN

Distance between M and N = \sqrt{(0+4)^2+(6+4)^2}

                                              = 10.77

Distance between M' and N' = \sqrt{(0+6)^2+(6+6)^2}

                                                = 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

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