Question 10
1 answer:
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Hi there!
Answer:
length = 9 kilometres
Width = 12 kilometres
Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.
Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.
The area of a rectangle can be found by using the formula:
A = width × length
Plug in the data from the formula
A = x (2x - 6).
Simplify using rainbow technique.
Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.
Subtract 108
Divide by 2.
Rule AB = 0, gives A is 0 or B is 0.
The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).
Length
Width
Answer:
length = 9 kilometres
Width = 12 kilometres
~ Hope this helps you!
Answer:
length = 9 kilometres
Width = 12 kilometres
Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.
Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.
The area of a rectangle can be found by using the formula:
A = width × length
Plug in the data from the formula
A = x (2x - 6).
Simplify using rainbow technique.
Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.
Subtract 108
Divide by 2.
Rule AB = 0, gives A is 0 or B is 0.
The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).
Length
Width
Answer:
length = 9 kilometres
Width = 12 kilometres
~ Hope this helps you!
Answer:
a) Null hypothesis:
Alternative hypothesis:
And we have this property
The degrees of freedom for the numerator on this case is given by where k =3 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
The mean squares between groups are given by:
And the mean squares within are:
And the F statistic is given by:
And the p value is given by:
So then since the p value is lower then the significance level we have enough evidence to reject the null hypothesis and we conclude that we have at least on mean different between the 3 groups.
b)
The degrees of freedom are given by:
The confidence level is 99% so then and
and the critical value would be:
The confidence interval would be given by:
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"
Part a
Null hypothesis:
Alternative hypothesis:
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 =3 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
The mean squares between groups are given by:
And the mean squares within are:
And the F statistic is given by:
And the p value is given by:
So then since the p value is lower then the significance level we have enough evidence to reject the null hypothesis and we conclude that we have at least on mean different between the 3 groups.
Part b
For this case the confidence interval for the difference woud be given by:
The degrees of freedom are given by:
The confidence level is 99% so then and
and the critical value would be:
The confidence interval would be given by: