Without using a calculator, determine whether 1 728 is a perfect square, a perfect cube, or
1 answer:
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Answer:
Step-by-step explanation:
Let be the number of gallons so
is the number of miles traveled per
gallons.
We know for our problem that Brian's car gets 25 miles per gallon. Since the gallons is represented by , his car will travel a total distance of 25g (where g is the number of gallons.
We also know that the total distance is given by , so we can put the two expressions together to get our function:
Let's check:
- If he uses 1 gallon (g=1), so
miles
He will travel 25 miles with one gallon.
- If he uses 2 gallons (g=2), so
He will travel 50 miles with two gallon.
Answer:
b. The sum of the squared deviations between each group mean and the mean across all groups
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"
Solution to the problem
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
As we can see the sum of squares between represent the sum of squared deviations between each group mean and the mean across all groups.
So then the best option is:
b. The sum of the squared deviations between each group mean and the mean across all groups