Which expressions are equivalent to (5⋅x)⋅3 ? Drag and drop the equivalent expressions into the box
2 answers:
Answer:
First option.
Third option.
Fourth option.
Step-by-step explanation:
For this exercise is important to remember that equivalent expression have the same value.
Then given the following expression provided in the exercise:
You can find equivalent expression by:
- Changing the position of :
(This matches with the first option)
- Solving the multiplication indicated. Then:
(This matches with the fourth option)
- Writting inside the parentheses:
(This matches with the third option)
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Answer:
1
Step-by-step explanation:
(f/g)(x)
=
= ← substitute x = 2 into the expression
=
=
=
= 1
Answer:
And
The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .
Step-by-step explanation:
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
We can find the
And
The difference is that MSA takes incount the variation between the groups and the grand mean, and the MSW takes in count the variation within groups respect to the mean of each group .
And the we can find the F statistic