Answer:
![28+56t+28w=14(2+4t+2w)\\\\28+56t+28w=28(1+2t+w)](https://tex.z-dn.net/?f=28%2B56t%2B28w%3D14%282%2B4t%2B2w%29%5C%5C%5C%5C28%2B56t%2B28w%3D28%281%2B2t%2Bw%29)
Step-by-step explanation:
![28+56t+28w=14\times 2+14\times 4t+14\times 2w\\\\14\ is\ common\ in\ every\ term\\\\28+56t+28w=14(2+4t+2w).........................................(1)\\\\Now\ take\ 2+4t+2w\\\\2+4t+2w=2+2\times 2t+2w\\\\2\ is\ common\\\\2+4t+2w=2(1+2t+1)\\\\Now\ substitute\ this\ in\ equation\ 1\\\\28+56t+28w=14\times 2(1+2t+w)\\\\28+56t+28w==28(1+2t+w)](https://tex.z-dn.net/?f=28%2B56t%2B28w%3D14%5Ctimes%202%2B14%5Ctimes%204t%2B14%5Ctimes%202w%5C%5C%5C%5C14%5C%20is%5C%20common%5C%20in%5C%20every%5C%20term%5C%5C%5C%5C28%2B56t%2B28w%3D14%282%2B4t%2B2w%29.........................................%281%29%5C%5C%5C%5CNow%5C%20take%5C%202%2B4t%2B2w%5C%5C%5C%5C2%2B4t%2B2w%3D2%2B2%5Ctimes%202t%2B2w%5C%5C%5C%5C2%5C%20is%5C%20common%5C%5C%5C%5C2%2B4t%2B2w%3D2%281%2B2t%2B1%29%5C%5C%5C%5CNow%5C%20substitute%5C%20this%5C%20in%5C%20equation%5C%201%5C%5C%5C%5C28%2B56t%2B28w%3D14%5Ctimes%202%281%2B2t%2Bw%29%5C%5C%5C%5C28%2B56t%2B28w%3D%3D28%281%2B2t%2Bw%29)
Answer: 1.467
Step-by-step explanation:
Formula of Margin of Error for (n<30):-
![E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=E%3Dt_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Given : Sample size : n= 22
Level of confidence = 0.90
Significance level : ![\alpha=1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3D1-0.90%3D0.10)
By using the t-distribution table ,
Critical value : ![t_{n-1, \alpha/2}=t_{21,0.05}= 1.720743](https://tex.z-dn.net/?f=t_%7Bn-1%2C%20%5Calpha%2F2%7D%3Dt_%7B21%2C0.05%7D%3D%201.720743)
Standard deviation: ![\sigma=4](https://tex.z-dn.net/?f=%5Csigma%3D4)
Then, we have
![E=(1.720743)\dfrac{4}{\sqrt{22}}=1.46745456106\approx1.467](https://tex.z-dn.net/?f=E%3D%281.720743%29%5Cdfrac%7B4%7D%7B%5Csqrt%7B22%7D%7D%3D1.46745456106%5Capprox1.467)
Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467
Answer:
3 and 27
Step-by-step explanation:
<u>Step 1: Determine which two terms we can use</u>
We have the following numbers to choose from: 3, 14, 27
Adding two numbers to get a multiple of ten means that the number that we come up with needs to be divisible by ten. For example: 20, 30, 50, 100 are all multiples of ten.
In this example the only one that would add up to create a multiple of ten is 27 and 3 which would give us 30 which is a multiple of 10.
Answer: 3 and 27
Answer: 16,17,18
Step-by-step explanation: 16,17,18 are consecutive numbers and when you add them up the equal 51
Answer:
The answer is 9
Step-by-step explanation:
If you subtract 8-(-1) you would get 9.