A)
![\overline{x}=911.9](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D911.9)
B) s = 304.2
C)
![911.9\pm172.1](https://tex.z-dn.net/?f=911.9%5Cpm172.1)
To find the sample mean, add all of the data points together and then divide by 12, the number of data points:
(1425+1227+989+697+729+839+729+742+550+626+1449+941)/12 = 10943/12 = 911.9
To find the sample standard deviation, subtract each data point from the mean; square the result; find the average of these; then take the square root.
To construct a confidence interval, first find the z-score that goes along with it:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value corresponds with a z-score of 1.96.
We use this to calculate the margin of error:
![ME=z*\frac{s}{\sqrt{n}} \\ \\=1.96*\frac{304.2}{\sqrt{12}}=172.1](https://tex.z-dn.net/?f=ME%3Dz%2A%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%0A%5C%5C%0A%5C%5C%3D1.96%2A%5Cfrac%7B304.2%7D%7B%5Csqrt%7B12%7D%7D%3D172.1)
This gives us the confidence interval
Answer:
$168
Step-by-step explanation:
12,736-4,000=The total amount of money the 52 members will have to split
12,736-4,000=8736
Divide 8736 evenly between the 52 members by doing
8736/52=168
2/7 x 14q+3 1/2 negative 3q=9
Answer 57q-3
Answer:
B) False.
Step-by-step explanation: 8 to the power of 2 plus 10 to the power of 2 gives you 164 but 18 to the power of 2 equals 324. In order to make a right triangle the answers have to be the same, but they are not so Paul cannot make a right triangle. Hope this answered your question.
Answer:
x = ![\frac{4-2y+2z}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4-2y%2B2z%7D%7B4%7D)
Step-by-step explanation:
4x-y+2z = 8x+y-4
4x-8x-y+2z = 8x - 8x +y-4
-4x -y +2z= y-4
-4x -y+y +2z = y+y-4
-4x +2z = 2y-4
-4x+2z-2z = 2y-2z-4
-4x = 2y-2z-4
= ![\frac{4-2y+2z}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4-2y%2B2z%7D%7B4%7D)