Answer:
And then
C. 240
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"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
If we assume that we have independent variables and we have individuals, we can define the following formulas of variation:
And we have this property
If we solve for SSR we got:
(1)
And we know that the determination coefficient is given by:
We know the value os and we can replace SSR in terms of SSY with the equation (1)
And solving SSY we got:
And then
C. 240
We have to evaluate the summation of (3n+2), with n ranging from 1 to 14. Let's write all the terms of the sum for each value of n:
n=1:
n=2:
n=3:
n=4:
n=5:
n=6:
n=7:
n=8:
n=9:
n=10:
n=11:
n=12:
n=13:
n=14:
Now, let's sum all the terms together, and we get:
The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where <em>l</em> = length, <em>w</em> = width, and <em>h</em> = height.
First, substitute the known values into the equation:
l = 8.5
w = 6
h = 10.5
V = (8.5)(6)(10.5)
<em>(Note: .5 = 1/2)</em>
Now, all we need to do is simplify:
V = 535.5 ft³ OR 535 1/2 ft³
<em>(Note: ft</em><em>³</em><em> is the condensed form of cubic feet)</em>
You can pick whichever form your test directs you to use. They are both the same value though.
Hope this helps!
40/x=100/190 40/x=100/190
(40/x)*x=(100/190)*x
40=0.526315789474*x
(0.56315789474) to get x
40/0.536315789474=x
76=x
x=76 now we have 190% of 76
Answer:
(2x^2+1)(4x+3)
Step-by-step explanation:
8x^3 + 6x^2 + 4x+3
Split into two groups
8x^3 + 6x^2 + 4x+3
Factor out 2x^2 from the first group and 1 from the second group
2x^2( 4x+3) +1( 4x+3)
Factor out (4x+3) from each group
(4x+3) (2x^2+1)
Rearranging the order
(2x^2+1)(4x+3)