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Masja [62]
3 years ago
11

What is the image of N for a 300 degree counterclockwise rotation about the center of the regular hexagon?

Mathematics
2 answers:
NemiM [27]3 years ago
5 0

The answer would be H

........................................

Afina-wow [57]3 years ago
3 0

Answer:

B) H  

Step-by-step explanation:

Notice that a regular hexagon has a <em>six-fold rotational symmetr</em>y.

Every time you rotate it about its centre by one-sixth of a circle (60°), you map a vertex onto the one next to it.

If you rotate the hexagon 300° counterclockwise, that is equivalent to rotating it 60° clockwise.

When you rotate the hexagon 60° clockwise (one-sixth of a circle),

Point N maps onto point H.

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The probability that all are male of choosing '3' students

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Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

Number of ways of choosing 3 students From all males and females

n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276

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n(M) = 12C_{3} = \frac{12!}{(12-3)!3!} =\frac{12 X 11 X 10}{3 X 2 X 1 } =220

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P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }

P(E) =  \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}

P(E) = 0.067 = 6.71%

<u><em>Final answer</em></u>:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

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