Answer:
Step-by-step explanation:
Lets start by labeling the triangle. Lets say the height is x and the base is x-16.
Next, we know the area of the triangle is 96, so we should make an equation. The area (96) of a triangle is (b*h)/2. So lets substitute.
96=[(x-16)*x]/2
Now, we should simplify the equation. Let us start by moving the /2 to the other side and making it *2.
192=(x-16)*x
Open parenthesis and get
192=x^2-16x
simplify and get
x=24
x is the height so the base must be x-16.
base=8, height=24
Answer:
$1.37/lb
Step-by-step explanation:
5.48/4
Answer:
92.64 cm^3 (it should be smaller if using actual pi, 22/7 is larger than pi)
Step-by-step explanation:
The equation for the volume of a cone is 1/3(pi*h*r^2) So, first we need to find the radius, which is diameter over 2, so the radius is 3.5 cm. Now we know all of the variables so we can plug in to solve.
Answer:
Check the explanation
Step-by-step explanation:
The multiple coefficient of determination, denoted R2, is the ratio of the sum of squares due to regression to the total sum of squares.
The R2 for the new regression is 63209/121222=0.52 (A), indicating that the new estimated multiple regression equation explains 52% (B) of the variability of digital camera sales.
The sum of squares due to error divided by the total sum of squares is 58013/121222=0.4785=0.48 (B), and 1 minus this ratio is 1-0.48=0.52 (B).
The adjusted multiple coefficient of determination, denoted by R2a, for the new regression is 1-[(1-r^2)(n-1/n-k-1)]=0.45 (C).
The mean square due to error divided by the total mean square is 2072/3788=0.5469=0.55 (A) , and 1 minus this ratio is 1-0.55=0.45 (C).
In general, adding independent variables to a multiple regression model reduces the sum of squares due to error (C). The multiple coefficient of determination increases (C), and the adjusted multiple coefficient of determination could either increase or decrease (C).
Adding the independent variable x4 to the multiple regression model increases (B) the multiple coefficient of determination and increases (A) the adjusted multiple coefficient of determination.
