Answer:
For this case the factor would be:
Road conditions
Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.
Step-by-step explanation:
Previous concepts
By definition a factor usually known as "the independent variable is an explanatory variable manipulated by the experimenter".
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
Solution to the problem
For this case the factor would be:
Road conditions
Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.
Th use 5 experimental units that are selected from the an specific lot. And they want to test is the stopping distance is significantly different.
And for this case we can use a one way ANOVA to test if the means are equal in the 3 groups.
x^2 - 4
------------------------------
x + 7 | x^3 + 7x^2 - 4x - 28
x^3 + 7x^2
------------------
0 - 4x - 28
-4x - 28
-------------
0
Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)
x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)
The complete factoring is:
x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
The answer is x=2. Hope this helps!!!
Let me restate the given:
Diameter = 4 inches
height = 9 inches
The volume of a cone is formulated as V = (πr²h)/ 3
Since the formula uses a radius and the given is the diameter of a circle, then simply divide the diameter by 2 to get the radius.
r = 2 inches
Solve for volume of cone:
V = [ (3.14) (2)² (9) ] / 3
V = 37.7 in³
The answer is 37.70 in^3.