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djverab [1.8K]
3 years ago
8

Geometry 12 16 2020​

Mathematics
1 answer:
Phantasy [73]3 years ago
7 0
Answer: A) 2/3

Method: Here’s an easy method for questions like these, when you are looking at a triangle, look at the angle that’s away from the biggest line (if it’s a right triangle choose any angle), for this case angle W. Now count how many lines it takes to get to the big line, for the original triangle it’s 6 and for the new triangle it’s 4. Now since you have your numbers turn it into a fraction (new on top original on bottom), 4/6. Finally see what the answer is, for this case 4/6 is equal to 2/3, so there’s your answer.
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A random sample of 384 people in a mid-sized city (city one) revealed 112 individuals who worked at more than one job. A second
Svetlanka [38]

Answer:

99% confidence interval is:

(0.00278 < P1 - P2< 0.15921)

Step-by-step explanation:

For calculating a confidence intervale for the difference between the proportions of workers in the two cities, we calculate the following:

[(p_{1} - p_{2}) \pm z_{\alpha/2} \sqrt{\frac{p_{1}(1-p_{1})}{n_{1}} + \frac{p_{2}(1-p_{2})}{n_{2}} }

             Where  p_{1} : proportion sample of individuals who worked      

                                                     at more than one job in the city one

                           n_{1}: Number of respondents in the city one

                           p_{1} : proportion sample of individuals who worked      

                                                     at more than one job in the city two

                           n_{1}: Number of respondents in the city two

Then

α = 0.01 and α/2 = 0.005

and z_{\alpha/2} = 2.575

p_{1} = \frac{112}{384} = 0.2916

p_{2} = \frac{91}{432} = 0.2106

n_{1}= 384  and n_{2}= 432

The confidence interval is:

[(0.2916 - 0.2106) \pm 2.575 \sqrt{\frac{0.2916(1-0.2916)}{384} + \frac{0.2106(1-0.2106)}{432} }

(0.00278 < P1 - P2< 0.15921)

5 0
3 years ago
-0.615,-5/8,-0.63 least to greatest
Zarrin [17]
-0.63,-5/8,-0.615 I hope this is helpful and I'm pretty sure it's correct.
4 0
3 years ago
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Answer:

B.

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Step-by-step explanation:

2(x + 11) + 5x = 7x - 22

Distribute

2x+22 +5x = 7x -22

Combine like terms

7x +22 = 7x-22

Subtract 7x from each side

7x-7x+22 = 7x-7x-22

22 = -22

This is never true so there are no solutions

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Answer: C

Step-by-step explanation:

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