Answer:
(22.0297, 23.3703)
Step-by-step explanation:
Given that an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.
Let X be per capita income (in thousands of dollars) for a major city in California.
Mean = 22.7
n = 183
Population std dev = 6.3
Since population std dev is known we can use Z critical value.
Std error = ![\frac{6.3}{\sqrt{183} } \\=0.4657](https://tex.z-dn.net/?f=%5Cfrac%7B6.3%7D%7B%5Csqrt%7B183%7D%20%7D%20%5C%5C%3D0.4657)
Z critical =1.44
Marginof error = ±1.44*0.4657=0.6706
Confidence interval 85%
=![(22.7-0.6703, 22.7+0.6703)\\= (22.0297, 23.3703)](https://tex.z-dn.net/?f=%2822.7-0.6703%2C%2022.7%2B0.6703%29%5C%5C%3D%20%2822.0297%2C%2023.3703%29)
Answer:800
Step-by-step explanation:
![Mean(\mu )=\$ 4300](https://tex.z-dn.net/?f=Mean%28%5Cmu%20%29%3D%5C%24%204300%20)
and ![P(X>6140)=0.0107](https://tex.z-dn.net/?f=P%28X%3E6140%29%3D0.0107)
![P(X>x_0)=0.0107](https://tex.z-dn.net/?f=P%28X%3Ex_0%29%3D0.0107)
![P\left ( \frac{X-\mu }{\sigma}](https://tex.z-dn.net/?f=P%5Cleft%20%28%20%5Cfrac%7BX-%5Cmu%20%7D%7B%5Csigma%7D%3C%5Cfrac%7Bx-%5Cmu%20%7D%7B%5Csigma%7D%20%5Cright%20%29%3D0.9893)
![P\left ( z](https://tex.z-dn.net/?f=P%5Cleft%20%28%20z%3C%5Cfrac%7Bx-%5Cmu%20%7D%7B%5Csigma%7D%20%5Cright%20%29%3D0.9893)
![\frac{x-\mu }{\sigma}=InvNormal(0.9893)](https://tex.z-dn.net/?f=%5Cfrac%7Bx-%5Cmu%20%7D%7B%5Csigma%7D%3DInvNormal%280.9893%29)
Using Z table to get InvNormal(0.9893)=2.30
![\frac{6140-4300}{\sigma}=2.30](https://tex.z-dn.net/?f=%5Cfrac%7B6140-4300%7D%7B%5Csigma%7D%3D2.30)
![\sigma =\frac{6140-4300}{2.30}=800](https://tex.z-dn.net/?f=%5Csigma%20%3D%5Cfrac%7B6140-4300%7D%7B2.30%7D%3D800)
Answer:
8 1/3+9 4/5+ 11 5/6+12+14 7/8=<u>58 61/120</u>
Step-by-step explanation:
First, you would add all of the whole numbers: 8+9+11+1+2+14=54
Second, you would add all of the fractions 1/3+4/5+5/6+7/8=4 61/120
Lastly, 54+4 61/120=<u>58 61/120</u>
Answer: what grade is this
Step-by-step explanation:
Answer:
About 9.2 units
Step-by-step explanation:
[8-(-1)^2]+[(5-3)^2]
81+4
sqrt(85)
9.2
Brainliest appreciated :)