3 hour 30 minutes : 36 minutes
1 hour = 60 minutes
3 hour = 3×60 minutes = 180 minutes
3hour 30 minutes = 180 minutes + 30 minutes
= 210 minutes
210 minutes : 60 minutes
3 hours 30 minutes : 60 minutes = 6:2
Answer:
And ![MSE=MSW=\frac{SSE}{N-k}](https://tex.z-dn.net/?f=MSE%3DMSW%3D%5Cfrac%7BSSE%7D%7BN-k%7D)
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 ![MSE=MSW=\frac{SSE}{N-k}](https://tex.z-dn.net/?f=MSE%3DMSW%3D%5Cfrac%7BSSE%7D%7BN-k%7D)
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
Explanation:
This might not be how you are supposed to do it but,
We can see the two triangles are similar because AA similarity.
We know that the sides are proportional so we can make:
![\frac{x+2}{x}=\frac{4}{3x-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B2%7D%7Bx%7D%3D%5Cfrac%7B4%7D%7B3x-1%7D)
We get,
![3x^2+5x-2=4x\\3x^2+x-2\\(3x-2)(x+1)=0\\x=2/3, x=-1](https://tex.z-dn.net/?f=3x%5E2%2B5x-2%3D4x%5C%5C3x%5E2%2Bx-2%5C%5C%283x-2%29%28x%2B1%29%3D0%5C%5Cx%3D2%2F3%2C%20x%3D-1)
Because sides can't be negative, x = 2/3
Answer: ![y=\frac{1}{4}x-7](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx-7)
Step-by-step explanation:
The perpendicular slope of the line(m) =
:
- m = -4 ⇒
![-\frac{1}{m} =-\frac{1}{(-4)} =\frac{1}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7Bm%7D%20%3D-%5Cfrac%7B1%7D%7B%28-4%29%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
The function formula is y = mx + b, where the y-intercept(b) is found by substituting in the values of a point on the line ⇒ (4, -6):
![y=\frac{1}{4}x+b\\-6=\frac{1}{4}(4)+b\\-6=1+b\\b=-6-1=-7](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7Dx%2Bb%5C%5C-6%3D%5Cfrac%7B1%7D%7B4%7D%284%29%2Bb%5C%5C-6%3D1%2Bb%5C%5Cb%3D-6-1%3D-7)
<u>So the perpendicular equation is </u>
<u>.</u>
put value of x in equation
Lhs = rhs
It is a solution