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IRINA_888 [86]
2 years ago
11

This line segment will be dilated with the point of dilation at (4,1) and scale factor of 2. What is the x-coordinate of one of

the the end point of the dilated segment
Mathematics
1 answer:
IgorLugansk [536]2 years ago
5 0

Answer:

<h3>8</h3>

Step-by-step explanation:

If a coordinate point (x, y) is dilated by a factor k, then the resulting coordinate will be (kx, ky)

Given the coordinate (4,1), if this coordinate is dilated by a factor of 2 then the new coordinate points will be at (2(4), 2(1))

New point = (8, 2)

Hence  x-coordinate of one of the the end point of the dilated segment is 8

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Answer:

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9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9
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Answer:  a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

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we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

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Hence, a) (176.76,172.24), b) 0.976.

8 0
3 years ago
The points ​(​15, 18​) and ​(​35,42) form a proportional relationship. Find the slope of the line through the points. Then use t
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