Answer:
0.8676
Step-by-step explanation:
Given that :
Total Sum of Square (SST) = 103.5
Regression Sum of Square (SSR) = 89.8
Erroe Sum of Square (SSE) = 13.7
The Coefficient of determination (R²) :
R² = SSR / SST
R² = 89.8 / 103.5
R² = 0.8676328
R² = 0.8676
Answer: length = 8cm; width = 6cm
Step-by-step explanation:
The dimensions of a rectangle are the length and width:
Let x be the length of rectangle, and
y, the width of rectangle
Perimeter equals 2x+2y=28, divide through by 2: x+y=14
Make y the subject, y=14-x, input the value of y into the equation and solve by pythagorean theorem:
x^2 + y^2= 10^2 = 100
x^2 + (14-x)^2 =100
x^2 +196-28x + x^2= 100
2x^2- 28x +196= 100
2x^2 -28x +96 =0
x^2 -14x + 48= 0
(x- 8) (x- 6)= 0
x= 8; or x = 6
The length of rectangle is 8 cm
The width of rectangle is 6 cm
I hope this helps.
Answer:
Im pretty sure what you have to do is add up the angles and subtract 360.
Step-by-step explanation:
Im not 100% though. good luck
A)
Replace the letters in the given equation with the corresponding values given in the problem:
A = 10,000 x 2.718^(0.05 x 2)
A = 11,051.59 , rounded to nearest dollar = $11,052
B)20,000 = 10000 x 2.718^(0.05 x t)
Divide both sides by 10,000:
2 = 2.718^(0.05 x t)
Apply exponent rules:
0.05tln(2.718) = 2
Solve for t:
t = ln(2) / 0.05ln(2.718)
t = 13.86 years, rounded to nearest year = 14 years.
