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3 years ago

When a LINE SEGMENT is reflected over a line of symmetry, what is changing?

Mathematics

1 answer:

sladkih [1.3K]3 years ago

6 0

Answer:

The correct answer would be C. The coordinates of the ENDPOINTS of the segment

Step-by-step explanation:

It cannot be A, because the segment only moves. It does not change size.

It cannot be B, because the line of symmetry goes down the middle of the segment- the distance remains the same.

Therefore it is C. The coordinates of the ENDPOINTS of the segment

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We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:

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Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:

$Y\sim N(\mu = 33.9, \sigma=1.2)$

And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:

$z = \frac{X -\mu}{\sigma}$

This z score tell to us how many deviations we are below or above the mean for a given normal distribution.

For the case of Eddie we got:

$z= \frac{33.2-34.5}{1.3}= -1$

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So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:

C.They are the same size relative to other children of the same sex.

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