Answer:
![E(\bar{x}) = 28520](https://tex.z-dn.net/?f=E%28%5Cbar%7Bx%7D%29%20%3D%2028520)
Standard error of mean = 689
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $28,520
Standard Deviation, σ = $5600
Mean of sampling distribution =
![E(\bar{x}) = \mu = 28520](https://tex.z-dn.net/?f=E%28%5Cbar%7Bx%7D%29%20%3D%20%5Cmu%20%3D%2028520)
As per Central Limit Theorem, if the sample size is large enough, then the sampling distribution of the sample means follow approximately a normal distribution.
Sample size, n = 66
Since the sample size is large, we can use normal distribution for approximation.
Standard error of mean =
![\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{5600}{\sqrt{66}} = 689.31 \approx 689](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B5600%7D%7B%5Csqrt%7B66%7D%7D%20%3D%20689.31%20%5Capprox%20689)
Answer:
5.8 cm
Step-by-step explanation:
Area of the shaded sector of the circle = 31.2 cm²
Angle (θ) of the minor sector = 360 - 256 = 104°
Are of sector of a circle is given as, θ/360*πr²
Therefore:
![\frac{104}{360}*3.142*r^2 = 31.2](https://tex.z-dn.net/?f=%20%5Cfrac%7B104%7D%7B360%7D%2A3.142%2Ar%5E2%20%3D%2031.2%20)
![0.29*3.142*r^2 = 31.2](https://tex.z-dn.net/?f=%200.29%2A3.142%2Ar%5E2%20%3D%2031.2%20)
![0.91*r^2 = 31.2](https://tex.z-dn.net/?f=%200.91%2Ar%5E2%20%3D%2031.2%20)
Divide both sides by 0.91
![\frac{0.91*r^2}{0.91} = \frac{31.2}{0.91}](https://tex.z-dn.net/?f=%20%5Cfrac%7B0.91%2Ar%5E2%7D%7B0.91%7D%20%3D%20%5Cfrac%7B31.2%7D%7B0.91%7D%20)
![r^2 = \frac{31.2}{0.91}](https://tex.z-dn.net/?f=%20r%5E2%20%3D%20%5Cfrac%7B31.2%7D%7B0.91%7D%20)
![r^2 = 34.286](https://tex.z-dn.net/?f=%20r%5E2%20%3D%2034.286%20)
![r = \sqrt{34.286}](https://tex.z-dn.net/?f=%20r%20%3D%20%5Csqrt%7B34.286%7D%20)
(nearest tenth)
Complete question :
Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remaining debt was $6460. How much did Wang Yong pay each month?
Answer:
$170
Step-by-step explanation:
Given that:
Amount owed = $8500
Fixed amount replayed per month :
Amount left after 12 months = $6460
Amount paid per month :
Total amount paid over 12 months :
$(8500 - 6460) = $2040
Amount paid per month :
$2040 / 12
= $170
It should be B based off the shaded area