C. 402
323.24 rounded = 323
79.13 rounded = 79
323 + 79 = 402
I think it would be obtuse, triangle, and a cute
Answer: 44.02
Step-by-step explanation: (6.4+7.8)x6.2÷2=44.02
Answer: Yes, this sample provide evidence that people living in rural communities live longer than 77 years.
Step-by-step explanation:
Since we have given that
Average lifespan in the USA = 77 years
We need to check whether the people living in rural communities live longer than 77 years.
So, Hypothesis would be
![H_0:\mu=77\\\\H_a:\mu>77](https://tex.z-dn.net/?f=H_0%3A%5Cmu%3D77%5C%5C%5C%5CH_a%3A%5Cmu%3E77)
Since n = 12
![\bar{x}=81.03\\\\s=1.53](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D81.03%5C%5C%5C%5Cs%3D1.53)
since n <30 so, we will use t test.
So, the test statistic value is given by
![t=\dfrac{\bar{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\\\\\\t=\dfrac{81.03-77}{\dfrac{1.53}{\sqrt{12}}}\\\\\\t=\dfrac{4.03}{0.4416}\\\\t=9.125](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B%5Cbar%7Bx%7D-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D%5C%5C%5C%5C%5C%5Ct%3D%5Cdfrac%7B81.03-77%7D%7B%5Cdfrac%7B1.53%7D%7B%5Csqrt%7B12%7D%7D%7D%5C%5C%5C%5C%5C%5Ct%3D%5Cdfrac%7B4.03%7D%7B0.4416%7D%5C%5C%5C%5Ct%3D9.125)
degrees of freedom = df = n-1 = 12-1 =11
At 95% significance level , t = 1.796
Since, 1.796< 9.125
So, we will reject the null hypothesis.
Hence, Yes, this sample provide evidence that people living in rural communities live longer than 77 years.
Four ten dollar bills and three twenty dollar bills