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2 years ago

If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end.

Mathematics

1 answer:

Soloha48 [4]2 years ago

6 0

Answer:

-8,0

Step-by-step explanation:

From one end of a segment to the midpoint, it takes -6x to get to the midpoint. Based on that, you can go another 6 over the y graph and get -8 for x.

For y, the segment goes from 4 to 2 (a -2 over the x graph). you can infer then that the other end will be 0.

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2 years ago

The equation of line p is y=ax+b. Which of these could be the equation of line q? A.y=−3a(x+6)+b

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2 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

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2 years ago

If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end. ​

If one end of a line segment is (4, 4) and midpoint is (-2,2), find the co-ordinates of the other end.