To find the average speed of the jet, we divide 4000 by 5. When we do so, we get 800. Therefore, the average speed of the jet was 800 kilometers per hour. Hope this helped!
Answer:
here what to do
Step-by-step explanation:
Since the volume of a cone is pi the radius squared times the height divided by 3. If you know the diameter,you simple divide by 2
Answer:
8 pizzas and 32 drinks
Step-by-step explanation:
12 times 8 equals 96
0.50 times 32 equals 16
96 plus 16 equals 112
Answer: ![(10.82\ , 13.18)](https://tex.z-dn.net/?f=%2810.82%5C%20%2C%2013.18%29)
Step-by-step explanation:
The confidence interval for population mean is given by :-
![\mu\pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Cmu%5Cpm%5C%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Given : Sample size : n= 35 , large sample (n>30)
Mean difference : ![\overline{x}=12](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D12)
Standard deviation : ![\sigma=3](https://tex.z-dn.net/?f=%5Csigma%3D3)
Significance level : ![\alpha=- 1-0.999=0.001](https://tex.z-dn.net/?f=%5Calpha%3D-%201-0.999%3D0.001)
Critical value : ![z_{\alpha/2}=z_{0.0005}=3.4807567](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dz_%7B0.0005%7D%3D3.4807567)
Now, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students will be :-
![12\pm\ (3.4807567)\dfrac{2}{\sqrt{35}}\\\\=12\pm1.18\\\\=(10.82\ , 13.18)](https://tex.z-dn.net/?f=12%5Cpm%5C%20%283.4807567%29%5Cdfrac%7B2%7D%7B%5Csqrt%7B35%7D%7D%5C%5C%5C%5C%3D12%5Cpm1.18%5C%5C%5C%5C%3D%2810.82%5C%20%2C%2013.18%29)
Hence, the 99.9% confidence interval for the mean difference between the marks scored last week and marks scored this week by all the students = ![(10.82\ , 13.18)](https://tex.z-dn.net/?f=%2810.82%5C%20%2C%2013.18%29)