Answer:
Dimensions: 
Perimiter: 
Minimum perimeter: [16,16]
Step-by-step explanation:
This is a problem of optimization with constraints.
We can define the rectangle with two sides of size "a" and two sides of size "b".
The area of the rectangle can be defined then as:

This is the constraint.
To simplify and as we have only one constraint and two variables, we can express a in function of b as:

The function we want to optimize is the diameter.
We can express the diameter as:

To optimize we can derive the function and equal to zero.

The minimum perimiter happens when both sides are of size 16 (a square).
The regression equation of Y on X is given by the following formula:

Where byx is given by the formula:

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.
The table of values is:
The values we need to know are on the following table:
By replacing the known values in the formula we obtain:

Now, the average of X and Y is the sum divided by N, then:

Replace these values in the formula and find the regression equation as follows:

The answer is a) y=4.6x+28.26
Answer:
114.24°
Step-by-step explanation:
7(15)+6= 105
3(15)= 45, now we plug it in the formula, 

so now we square root it
= 114.24
Answer:
7.3
Step-by-step explanation:
7+9+7+9+15+0+1+13+11+1=73
There are 10 numbers.
73/10=7.3
D because 2/3 of the cards are odd and 64 is 2/3 of 94