Answer:
Number of apartment = 9
Step-by-step explanation:
Given the ANOVA result :
ANOVA ____ df ____ SS
Regression __ 1 ___ 41587.1
Residual ____ 7 ___
Total _______ 8 __ 51984.5
Number of apartment building in sample (n) :
Degree of freedom (df) = n - 1
The degree of freedom = total = 8
Hence,
8 = n - 1
8 + 1 = n - 1 + 1
9 = n
Hence, number of apartment building in sample = 9
Answer:
The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.
Step-by-step explanation:
We are given the function:
And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.
To determine the average rate of change, we find the slope of the function between the two points. In other words:
Simplify:
In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.
This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.
Answer:
310°
Step-by-step explanation:
A rotation changes the position of the polygon but not it's shape.
After the rotation the image and original polygons are congruent.
Thus ∠ B'C'D' = ∠ BCD = 310°
For this case we must interpret the following expression algebraically:
"The quotient of a number and 8 is 16"
Let x be the variable that represents the unknown number.
Then we have the following expression:
Clearing the variable "x":
Answer:
STEP-BY-STEP SOLUTION:
Let original price = x
( 100% - 20% )x = $44
0.8x = 44
x = ( 44 / 80 ) × 100%
x = $55
Okay, so you are asking how they came up with 0.8 as shown in the 2nd line above which I will rewrite below:
0.8x = 44
The 0.8 refers to how much of x ( original price ) is left in the new price.
So, if:
x = 100%
Then:
New price = x - 20% = 100% - 20% = 80%
Now, to get 0.8 is as follows:
80% = 0.8