Answer:
N=27 participants
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"
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
The degrees of freedom for the model on this case is given by
where k =2 represent the number of variables.
The degrees of freedom for the error on this case is given by
. Sinc we know k we can find N.

And the total degrees of freedom would be 
On this case the correct answer would be N=27 participants
Part 1
Rule of thumb for month rent: Rent ≤ 28% of monthly gross income
Then,
Month gross income = $62,112/12 = $5,176
Affordable rent = 0.28*5176 = $1,449.28
Rounding to nearest dollar;
Affordable rent = $1,449.
The correct answer is C.
Part 2
Monthly rent = $1240
Security deposit = 80% of rent = 0.8*1240 = $992
Amount to be paid = 1240*2 + 992 = $3472
The correct answer is B.
1) The sculptor created a marble basin with an approximate volume of 94,509.6 cubic centimeters - Option D, 2) The approximate area of the heart-shaped cake is 283 square inches - Option B, 3) The length of the wooden frame around the window is 94.3 inches - Option B.
In this question we should make use of geometric formulas for volumes and areas and key information from statement in order to find the right choices.
1) In this case, the volume occupied by the marble water basin (
), in cubic centimeters, by subtracting the volume of the hemisphere from the volume of the cylinder:
(1)
Where:
- Radius of the cylinder, in centimeters.
- Height of the cylinder, in centimeters.
- Radius of the cylinder, in centimeters.
If we know that
,
and
, then the volume of the marble is:


The right choice is D.
2) To determine the approximate surface area of the cake covered in red frosting (
), in square inches, we need to find the sum of the surface area of the entire circle and the surface area of the square:
(2)
Where:
- Side length of the square, in inches.
- Height of the cakes, in inches.
- Diameter of the cakes, in inches.
If we know that
,
and
, then the <em>approximate</em> area covered in red frosting:


The right choice is B.
3) The frame around the window is found by means of the following perimeter formula (
), in inches:
(3)
Where:
- Radius, in inches.
- Height of the rectangle, in inches.
If we know that
and
, then the length of the frame around the window is:


The right choice is B.
We kindly invite to see question on volumes: brainly.com/question/1578538