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3 years ago

How to quickly convert degrees to radians?

1 answer:

4 0

180 degrees is the same as $\pi$
So if you have to convert 60 degrees to radians, do it like this:
$60* \frac{ \pi }{180}$
Then you reduce between the 60 and the 180. 60 goes into itself once and into 180 3 times, so 60 degrees is the same as $\frac{ \pi }{3}$

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An opinion poll surveyed 900 people and reported that 36% believe a certain governor broke campaign financing laws in his electi

Anuta_ua [19.1K]

Answer:

The confidence Interval = (0.329, 0.391)

Step-by-step explanation:

Formula for the Confidence Interval for proportion =

p ± z × √p(1 - p)/n

where

p = x/n

From the question

n = 900 people

x = 36% of 900 people

= 36/100 × 900

= 324

z = z score of 95% confidence Interval

z = 1.98

p = x/n

= 324/900

= 0.36

Confidence Interval = p ± z × √p(1 - p)/n

= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900

= 0.36 ± 1.96 ×√0.36 (0.64)/900

= 0.36 ± 1.96 × √0.000256

= 0.36 ± 1.96 × 0.016

= 0.36 ± 0.03136

Confidence Interval = 0.36 ± 0.03136

= 0.36 - 0.03136

= 0.32864

Approximately to 3 decimal places = 0.329

= 0.36 + 0.03136

= 0.39136

Approximately to 3 decimal places = 0.391

Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)

7 0

3 years ago

Can you help me? Please

Anni [7]

9514 1404 393

Answer:

Step-by-step explanation:

For an even-index radical, ...

$\sqrt[n]{x^n}=|x|\qquad\text{n even}$

This lets us simplify the given expression as follows:

$\sqrt[4]{81x^6y^4}-|y|\sqrt[4]{x^6}-\sqrt[4]{16x^2}=\sqrt[4]{(3xy)^4x^2}-|y|\sqrt[4]{x^4x^2}-\sqrt[4]{2^4x^2}\\\\=3|xy|\sqrt[4]{x^2}-|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}=\boxed{2|xy|\sqrt[4]{x^2}-2\sqrt[4]{x^2}}$

4 0

2 years ago

Write the following statement as a conditional statement. <br> Every week has seven days.

Vedmedyk [2.9K]

Definition: A conditional statement, symbolized by p q, is an if-then statement in which p is a hypothesis and q is a conclusion. The logical connector in a conditional statement is denoted by the symbol $p\Rightarrow q$ .