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2 years ago

VWX and TUX are equilateral complete proof that UV = TW

Mathematics

1 answer:

jonny [76]2 years ago

7 0

Answer:

6. Side Angle Side (SAS)

7. Definition of congruence

Step-by-step explanation:

With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:

Statement Reason

1. ΔVWX is equilateral Given

2. ΔTUX is equilateral Given

3. VX ≅ WX Definition of equilateral triangle

4. TX ≅ UX Definition of equilateral triangle

5. <TXW ≅ <UXV Vertical Angle Theorem

6. ΔTWX ≅ ΔUVX Side Angle Side (SAS)

7. UV ≅TW Definition of congruence

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3 years ago

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

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This means that $\pi = 0.25$

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So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What is the required sample size for the new study?

This is n for which M = 0.03. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2$

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Rounding up:

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2 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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