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3 years ago

What is the minimum number of points required to make a plane

Mathematics

1 answer:

Leokris [45]3 years ago

8 0

For this case we have that by definition, a plane is an ideal object that only has two dimensions, and contains infinite points and lines.

Also we have that, by definition, a plane is defined by 3 non-aligned points.

Answer:

3 points

Option D

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-5(5 – 2x) = -95<br><br> show work and all steps please

Lady bird [3.3K]

Answer:

x = -7

Step-by-step explanation:

See the photo attached.

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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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

25% of all adults had used the Internet for such a purpose

This means that $\pi = 0.25$

95% confidence level

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

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

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

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

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

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

$n = 800.3$

Rounding up:

The required sample size for the new study is 801.

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3 years ago

Alvin ordered his dog a bone for $4.45 and a bag of food for $16.30 on Petco.com. The sales tax was 8.65% and there is a $8 deli

DENIUS [597]

Answer:

He spent $30.54

Step-by-step explanation:

$4.45+$16.30=$20.75

$20.75 times 1.0865=$22.544875 rounded to 2 d.p. = $22.54

$22.54+$8=$30.54

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3 years ago

What is the answer to this (-12+7

katen-ka-za [31]

Positive 5 is the answer

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Nina reads 6 books each month as part of her book club. If Nina has read 42 books so far,how many months has she been with her b

Harrizon [31]

Answer:

Nina has been in her book club for 7 months.

Step-by-step explanation:

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