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polet [3.4K]
2 years ago
9

What is the shortcut to it ?

Mathematics
1 answer:
Virty [35]2 years ago
7 0

Step-by-step explanation:

QP = QR (given by congruent marks)

SP = SR (given by congruent marks)

US is the common side

All 3 sides of each triangle are congruent with the other triangle.

Hence by SSS congruence,

triangles QPS and QRS are congruent.

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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

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

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
3 years ago
Suppose you are representing the employees at a large corporation during contract negotiations. You have a list of the salaries
evablogger [386]

Answer:

Median

Step-by-step explanation:

Median is ascertained by arranging a set of data in either ascending or descending order and picking the number that appears In the middle. The measure of center to use for this test is the median because it will represent the employees, it helps to arrange their income accordingly and the central item is determined.

7 0
2 years ago
3+3 78-t8=ghfgsx90ge734-gfd7676-673=785753-7467559763-7465458639650
soldi70 [24.7K]

Answer:

yes

Step-by-step explanation:

4 0
2 years ago
Breanna wrote a number that is 4 units from 0 on the number line.
Hatshy [7]
The two answers are -4 and 4, because 0-4 is -4 and 0+4 is 4. Hope this helps
5 0
3 years ago
Why do you think we have more protests in modern times than in earlier time periods?
Wittaler [7]
I think there are more protests in modern day times rather then in the earlier time periods, because people are now more aware of their rights, and how they influence the way their country is run. Also, nowadays most countries are democratic, meaning that everyone can express their opinions and people protest as a way of expressing their opinions about something.
4 0
3 years ago
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