Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624
For baseballs of 9 inches:
![9=2\pi r \\ \\ r= \frac{9}{2\pi}](https://tex.z-dn.net/?f=9%3D2%5Cpi%20r%20%5C%5C%20%20%5C%5C%20r%3D%20%5Cfrac%7B9%7D%7B2%5Cpi%7D)
Volume =
![\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Cleft%28%20%5Cfrac%7B9%7D%7B2%5Cpi%7D%20%5Cright%29%5E3%3D12.31)
Number of 9 inches baseballs =
![\frac{3,071,630.624}{12.31} = 249,513](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2C071%2C630.624%7D%7B12.31%7D%20%3D%20249%2C513)
For baseballs of 9.25 inches:
![9.25=2\pi r \\ \\ r= \frac{9.25}{2\pi}](https://tex.z-dn.net/?f=9.25%3D2%5Cpi%20r%20%5C%5C%20%20%5C%5C%20r%3D%20%5Cfrac%7B9.25%7D%7B2%5Cpi%7D)
Volume =
![\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Cleft%28%20%5Cfrac%7B9.25%7D%7B2%5Cpi%7D%20%5Cright%29%5E3%3D13.37)
Number of 9.25 inches baseballs =
![\frac{3,071,630.624}{13.36} = 229,824](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%2C071%2C630.624%7D%7B13.36%7D%20%3D%20229%2C824)
Therefore, the tractor can contain between 229,824 and 249,513 baseballs.
If the first roll is a three, then the only chance of the sum of the two numbers being less than six is if you roll a 1 or a 2.
That is 2/6 chance, or simplified, a 1/3 chance.
I hope this Helps!
Answer: 12.5
Step-by-step explanation:
area= 1/2 (2.5+7.5) 2.5
sorry if its not clear enough i dont really know how else to explain it
Answer:
E IS THE CORRECT ANSWER
The R-squared is 0.64 and it means that the dependent value explains 64% of the independent value in the simple regression analysis
Step-by-step explanation:
R-Squared value is a very important indicator in a regression analysis.
What does it measure?
It measures how close to the line of best fit are the data points. How good the fitted line is can be indicated by the value of the r-squared.
The maximum value it can take is 1 and at this value, there is a direct and complete relationship between the independent variable x and the dependent variable y. The value 1 represents an 100% relationship between both parties.
The r-squared has a value of between 0 and 100%. The closer to 100, the better the model while the closer to 100, the more faulty the model is. In fact, a value of 0 indicates no relationship at all between the dependent and the independent variable.
With an R-squared value of 0.64, the regression model works above average to explain that the dependent variable explains 64% of the independent value in the simple regression analysis.
It’s the second, the penultimate and the last one :)
3(2 + x)
x + 2x + 2 + 4
x + x + x + 1 + 1 + 1 + 1 + 1 + 1