Answer:
16/3 or 5.3 recurring
Step-by-step explanation:
-8 times -2/3 is 16/3, and 16/3 is 5.3 recurring
Answer:
<em>The perimeter is 72 units and the area is 149 square units.</em>
Step-by-step explanation:
has coordinates
and 
Using the distance formula.........
Length of side 
Length of side 
Length of side 
So, the perimeter of the triangle will be:
units. <em>(Rounded to the nearest unit)</em>
The height of the triangle for the corresponding base
is 8.89 units.
<u>Formula for the Area of triangle</u>, 
So, the area of the
will be:
square units. <em>(Rounded to the nearest unit)</em>
Answer:1122
Step-by-step explanation:
Hve to work out the general equation first by calculating the common difference-16.
Answer:
Step-by-step explanation:
We assume your equations are intended to be ...

Then the profit equation is ...

The partial derivatives of profit with respect to x and y are zero when profit is maximized.
∂P/∂x = 0 = -2x +2y +2
∂P/∂y = 0 = 2x -18y +94
Simplifying, these equations are ...
Substituting the first into the second gives ...
x -9(x -1) = -47
-8x = -56
x = 7
y = 7 -1 = 6
The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.
Answer:
True. See explanation below
Step-by-step explanation:
Previous concepts
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by
where k represent the number of groups.
The degrees of freedom for the denominator on this case is given by
.
And the total degrees of freedom would be
And the we can find the F statistic