Answer: 400
Step-by-step explanation:
From the question, we see that population proportion (p) = 0.15
Margin of error (m) = 5%
Confidence level = 99%
Level of significance = 100- confidence level = 1%.
The population standard deviation (s) for this data set is
√p(1-p) = √ 0.15 × (1 - 0.15)
√ 0.15 × 0.85 = 0. 1275
Margin of error = critical value × population standard deviation / √n
The critical value (c) for Constructing a 99 % confidence interval for population mean is = 2.58
m = c× √p'(1-p') /√n
We want to make n subject of the formulae, we have that
m = c√p'(1-p') /√n
m×√n = c × √p'(1-p')
√n = c × √p'(1-p') / m
n = c² × {√p'(1-p')}² / m
n = 2.58² × 0.1275/ 0.05²
n = 6.6564 × 0.01625625 / 0.0025
n = 339.47 ~ 400
That looks like negative 17
Answer:
<h2>x = 36°</h2>
Step-by-step explanation:
Since the angles lie on a straight line , it means that they are supplementary to each other. That is the sum of their angles add up to 180°
To find x add up all the angles and equate them to 180
We have
3x + 2x = 180
5x = 180
Divide both sides by 5
![\frac{5x}{5} = \frac{180}{5} \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%7D%7B5%7D%20%20%3D%20%20%5Cfrac%7B180%7D%7B5%7D%20%20%5C%5C%20)
We have the final answer as
<h3>x = 36°</h3>
Hope this helps you
Answer:
3000
Step-by-step explanation:
5,503 - 3417
6000 - 3000
3000
Answer:
360°
Step-by-step explanation:
The sum of all angles in a quadrilateral is 360°.