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yulyashka [42]
2 years ago
10

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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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
What is the slope of the line that passes through the points (2, 3) and (8, 6)
nadezda [96]

Answer:

The slope of the line that passes through the points (2, 3) and (8, 6) is \frac{1}{2}.

Step-by-step explanation:

To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is \frac{3}{6} or \frac{1}{2}.

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Shown here mathematical step . Identify the mathematical reason or property used to simplify from the first step to the second s
Xelga [282]
It’s using the distributive method. 7 x a is 7A and 7 x 13 is 91, therefor it is 7A+91.
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