Answer:
39
Step-by-step explanation:
Angles are supplementary when they add up to 180. So, we know the other angle that isn't 58 is
. Therefore, ![122=3n+5\\3n=117\\n=39](https://tex.z-dn.net/?f=122%3D3n%2B5%5C%5C3n%3D117%5C%5Cn%3D39)
Answer:
x = -30
Step-by-step explanation:
<u>Step 1: Subtract 16 from both sides</u>
x + 16 = -14
x + 16 - 16 = -14 - 16
<em>x = -30</em>
<em />
Answer: x = -30
Answer:
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
Of the 2809 people who responded to survey, 1634 stated that they currently use social media.
This means that ![n = 2809, \pi = \frac{1634}{2809} = 0.5817](https://tex.z-dn.net/?f=n%20%3D%202809%2C%20%5Cpi%20%3D%20%5Cfrac%7B1634%7D%7B2809%7D%20%3D%200.5817)
98% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.5817%20-%202.327%5Csqrt%7B%5Cfrac%7B0.5817%2A4183%7D%7B2809%7D%7D%20%3D%200.56)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.5817%20%2B%202.327%5Csqrt%7B%5Cfrac%7B0.5817%2A4183%7D%7B2809%7D%7D%20%3D%200.6034)
The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).
It is 9 because you have a 30,60,90 triangle, and then you can use pythagorean theorem.