B. 24 square meters. Length times width times height
Answer: z = -5/-3
Step-by-step explanation:
(3z−11)+(6−6z)
3z - 11 + 6 - 6z
- 6z + 3z - 11 + 6
- 3z - 5
z = -5/-3
No, it is not. If you see closely, the number 5.2 is not 52. 60 is greater than 5.2.
Answer:
It does not converge
Step-by-step explanation:
Answer:
The standard error of the mean is 4.5.
Step-by-step explanation:
As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:
![\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%7Bx%7D%7D%5Capprox%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D)
The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.
The mean of the sample is:
![\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5Cfrac%7B1%7Dn%7D%20%5Csum%20x_i%20%3D%5Cfrac%7B30%2B40%2B60%2B80%2B20%2B85%7D%7B6%7D%3D52.5)
The standard deviation of the sample is calculated as:
![s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28x_i-%5Cbar%20x%29%5E2%7D%20%5C%5C%5C%5C%20s%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B5%7D%5Ccdot%20%28%2830-52.5%29%5E2%2B%2840-52.5%29%5E2%2B%2860-52.5%29%5E2%2B%2880-52.5%29%5E2%2B%2820-52.5%29%5E2%2B%2885-52.5%29%5E2%7D%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B5%7D%20%2A3587.5%7D%3D%5Csqrt%7B717.5%7D%3D26.8)
Then, we can calculate the standard error of the mean as:
![\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5](https://tex.z-dn.net/?f=%5Csigma_%7B%5Cbar%7Bx%7D%7D%5Capprox%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%3D%5Cfrac%7B26.8%7D%7B6%7D%3D%204.5)