A line segment has endpoints at (–4, –6) and (–6, 4). Which reflection will produce an image with endpoints at (4, –6) and (6, 4
)?
2 answers:
Answer:
Reflection on x - axis.
Step-by-step explanation:
A line segment has two endpoints at A ( -4, -6 ) and B ( -6, 4 ).
Here point A lies in third quadrant and B lies in second quadrant.
Now we have to find the kind of reflection was done so that new points became A' (4, -6) and B' (6, 4)
a' is lying in fourth and B' is in first quadrant.
Therefore, segment AB which is parallel to y axis when reflected on x-axis, became A' B'.
So reflection about y-axis is the answer.
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Answer:
95% of the text messages have length between 23 units and 47 units.
Step-by-step explanation:
We are given the following in the question:
The lengths of text messages are normally distributed.
95% confidence interval:
(23,47)
Thus, we could interpret the confidence interval as:
About 95% of the text messages have length between 23 units and 47 units.
By Empirical rule for a normally distributed data, about 95% of data lies within 2 standard deviations of mean , thus we can write:
Thus, the mean length of text messages is 23 units and standard deviation is 6 units.