Answer:
3)
i) 
ii) 
4)
i) 
ii) 
Step-by-step explanation:
We perform a simple linear regression analysis in megastat software to determine the line of best fit for both relations and their associated correlation coefficients.
1. The rectangular prism is a right prism with rectangular bases (check the picture)
2. It has 8 vertices, so we are looking for 3d figures with 4 vertices.
3. A face can have at least 3 vertices, and the 4th must be outside of the plane determined by the first 3 vertices. This makes 4 vertices in total.
4. The 3d figure described in step 3 is a pyramid.
Tony's current scores are 22 and 25.
Let x = Tony's next score.
To make the lower required score of 27,
(x + 22 + 25)/3 = 27
x = 81 - 47 = 34
To make the upper required score of 32,
(x + 22 + 25)/3 = 32
x = 96 - 47 = 49
Answer:
Tony should score between 34 and 49