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3 years ago

15

What is the difference between a 30° angle and a -30° angle?

1 answer:

ipn [44]3 years ago

7 0

Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.

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0.135 written as a fraction is _____.<br><br><br><br> 5/37<br><br> 27/100<br><br> 27/200

sergij07 [2.7K]

First it would be 135/1000. Then you'd have to simplify.

Simplified, it would be 27/200.

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3 years ago

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1/4 x 8/15 in simplest form

Over [174]

This in the simplest form will be 2/15. You cannot divide this answer by anything which means it is in its simplest form!

Please give brainliest❤️

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3 years ago

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A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian

Minchanka [31]

Answer:

Question 1:

(b) 4,445

Question 2:

(c) 2.1%

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 of:

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

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 $Z = 1.96$ .

Question 1:

We have no previous estimate for the population proportion, so we use $\pi = 0.5$ .

The sample size is n for which M = 0.015. So

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

$0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.015\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.015}$

$(\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2$

$n = 4268$

Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.

Question 2:

Now we find M for which $n = 2222$ .

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

$M = 1.96\sqrt{\frac{0.5*0.5}{2222}}$

$M = 0.021$

So 2.1%, and the correct answer is given by option c.

3 0

3 years ago

5.796 is 9.2% of what number?

abruzzese [7]

Answer:

63

Step-by-step explanation:

5.796 / 0.092 = 63

8 0

3 years ago

Kardal did a study to determine the correlation between men’s heights, x, and their shoe sizes, y, and found the following data:

joja [24]

Answer:

First and Second option

Step-by-step explanation:

The prediction is reasonable

No data is given in the scatterplot for a height of 80 inches, but a shoe size can still be predicted

Are the correct answers

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