What are the dimensions of the building?
Answer:
The regular polygon that she should use is an equilateral triangle
Step-by-step explanation:
The parameters given are;
Interior angles = 0.5 × Exterior angles
Exterior angles of a regular polygon = 360/n
Sum of interior angles of a regular polygon = (n - 2) × 180
Where n = the number of sides
Therefore, the sum of exterior angles of a regular polygon = 360°
Hence we have;
(n - 2) × 180 = 360/2 = 180
n - 2 = 180/180 = 1
n = 1 + 2 = 3 which is a three sided regular polygon or an equilateral triangle
Therefore, the regular polygon that she should use is an equilateral triangle
Answer:
The correct answer is
![y=x+4](https://tex.z-dn.net/?f=y%3Dx%2B4)
Explanation:
We are given the points:
(0, 4)
(1, 5)
(2, 6)
(3, 7)
We can see that for each unit that x-coordinate grows, the y-coordinate also grows one.
This means that the slope of the line is m = 1
The first point given, tell us the y-intercept: (0, 4)
The slope-intercept form of a line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Where m is the slope and b the y-intercept.
For the points given:
m = 1
b = 4
Thus:
23,457 - 19,436 = 4,021
23,457 + 4,021 = 27,478
total income next year - 27,478
Answer:
![MOE_{95} = 1.192\cdot MOE_{90}](https://tex.z-dn.net/?f=MOE_%7B95%7D%20%3D%201.192%5Ccdot%20MOE_%7B90%7D)
Step-by-step explanation:
The margin of error is computed using the formula:
![MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=MOE%3Dz_%7B%5Calpha%2F2%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
The critical of <em>z</em> for 95% confidence level and 90% confidence level are:
![z_{0.05/2}=z_{0.025}=1.96\\\\z_{0.10/2}=z_{0.05}=1.645](https://tex.z-dn.net/?f=z_%7B0.05%2F2%7D%3Dz_%7B0.025%7D%3D1.96%5C%5C%5C%5Cz_%7B0.10%2F2%7D%3Dz_%7B0.05%7D%3D1.645)
*Use a <em>z</em>-table.
The sample size is n = 44.
Compare the MOE for 95% confidence level and 90% confidence level as follows:
![\frac{MOE_{95}}{MOE_{90}}=\frac{1.96\times (15/\sqrt{44})}{1.645\times (15/\sqrt{44})}](https://tex.z-dn.net/?f=%5Cfrac%7BMOE_%7B95%7D%7D%7BMOE_%7B90%7D%7D%3D%5Cfrac%7B1.96%5Ctimes%20%2815%2F%5Csqrt%7B44%7D%29%7D%7B1.645%5Ctimes%20%2815%2F%5Csqrt%7B44%7D%29%7D)
![\frac{MOE_{95}}{MOE_{90}}=\frac{1.96}{1.645}\\\\\frac{MOE_{95}}{MOE_{90}}=1.192\\\\MOE_{95} = 1.192\cdot MOE_{90}](https://tex.z-dn.net/?f=%5Cfrac%7BMOE_%7B95%7D%7D%7BMOE_%7B90%7D%7D%3D%5Cfrac%7B1.96%7D%7B1.645%7D%5C%5C%5C%5C%5Cfrac%7BMOE_%7B95%7D%7D%7BMOE_%7B90%7D%7D%3D1.192%5C%5C%5C%5CMOE_%7B95%7D%20%3D%201.192%5Ccdot%20MOE_%7B90%7D)