Answer:
1. 3x+4y=30
2. 30x+40y=300
3. x+4/3y=10
Step-by-step explanation:
Answer:
The 95% confidence interval the average maximum power is (596.0 to 644.0)
Step-by-step explanation:
Average maximum of the sample = x = 620 HP
Standard Deviation = s = 45 HP
Sample size = n = 16
We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.
Degrees of freedom = df = n - 1 = 15
Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table =
= 2.131
The formula to calculate the confidence interval is:
![(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })](https://tex.z-dn.net/?f=%28x-t_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%20%5Ctimes%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D%2C%20x%2Bt_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%20%5Ctimes%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D%29)
We have all the required values. Substituting them in the above expression, we get:
![(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)](https://tex.z-dn.net/?f=%28620-2.131%20%5Ctimes%20%5Cfrac%7B45%7D%7B%5Csqrt%7B16%7D%20%7D%2C%20620%2B2.131%20%5Ctimes%20%5Cfrac%7B45%7D%7B%5Csqrt%7B16%7D%20%7D%29%5C%5C%5C%5C%20%3D%28596.0%20%2C%20644.0%29)
Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)
Answer:
1 avocado= 50 cents 16 avocados is 8 dollars 20 avocados are 10 dollars and 9 avocados is 4.50