The answer is C or 12 because it has to equal to 180 so 5(12) + 5 = 65 and 65 + 115 = 180
Ans10.44
Step-by-step explanation:
sorry about my last answer! i was trying to leave it tocome back this might be ut
Answer:
The smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Step-by-step explanation:
The complete question is:
The mean salary of people living in a certain city is $37,500 with a standard deviation of $2,103. A sample of n people will be selected at random from those living in the city. Find the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income. Round your answer up to the next largest whole number.
Solution:
The (1 - <em>α</em>)% confidence interval for population mean is:
![CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=CI%3D%5Cbar%20x%5Cpm%20z_%7B%5Calpha%2F2%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
The margin of error for this interval is:
![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 value of <em>z</em> for 90% confidence level is:
<em>z</em> = 1.645
Compute the required sample size as follows:
![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)
![n=[\frac{z_{\alpha/2}\cdot\sigma}{MOE}]^{2}\\\\=[\frac{1.645\times 2103}{500}]^{2}\\\\=47.8707620769\\\\\approx 48](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ccdot%5Csigma%7D%7BMOE%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D%5B%5Cfrac%7B1.645%5Ctimes%202103%7D%7B500%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D47.8707620769%5C%5C%5C%5C%5Capprox%2048)
Thus, the smallest sample size n that will guarantee at least a 90% chance of the sample mean income being within $500 of the population mean income is 48.
Answer:
y = -4x -8
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
m = (0--4)/(-2--1)
= (0+4)/(-2+1)
=4/-1
= -4
We know the point slope form of a line is
y-y1 = m(x-x1)
y-0 = -4( x--2)
y = -4(x+2)
y = -4x -8
Answer:
srry for not helping you just need points
Step-by-step explanation: