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ozzi
3 years ago
15

What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0
<span>238 square units. The area of a parallelogram is the base multiplied by the height. You can use any of its four sides as the base, so pick the one that is easiest to deal with. Examining the parallelogram, you'll notice that line segments AB and CD are both parallel to the x axis which makes it extremely easy to calculate the height which is 12 - (-5) = 17. The length of AB is 13 - (-1) = 14. So the area of the parallelogram is 14 * 17 = 238</span>
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Step-by-step explanation:

The confidence interval for difference of two population mean is given by :-

\overline{x}_1-\overline{x}_2\pm z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}

Given : Level of significance : 1-\alpha:0.99

Then , significance level : \alpha: 1-0.99=0.01

Critical value : z_{\alpha/2}=z_{0.005}=2.576

n_1=30\ ;\ n_2=50\\\\\overline{x}_1=46.7\ ;\ \overline{x}_2=13.3\\\\s_1=9.2\ ;\ s_2=1.9

46.7-13.3\pm(2.576)\sqrt{\dfrac{9.2^2}{30}+\dfrac{1.9^2}{50}}\approx33.4\pm4.38=(29.02\ ,37.78)\approx(29,\ 37.8)

Hence,  a 99% confidence interval for the difference between the mean wait times of everyone who rode both rides (29,\ 37.8)

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