Everything on the sheet looks correct to me. Nice work !
Answer:
k = 4 ;
N = 52
Step-by-step explanation:
Given the ratio F(3, 48)
F takes in degree of freedom values; degree of freedom of groups ; degree of freedom of error
Hence,
df group or treatment = 3
df error = 48
df treatment = k - 1
k = Number of groups
3 = k - 1
3 + 1 = k - 1 + 1
4 = k
Number of treatment condition = 4
df error = N-k
N = total number of observations
48 = N - 4
48 + 4 = N - 4 + 4
52 = N
Answer:
f(2+h)=-(h+2/3)^2+1/4
f(x+h)=-(x+h-1/2)^2+1/4
Step-by-step explanation:
1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)
=-(h+2/3)^2+1/4
2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.
a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.
Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4
Answer:
<u>(</u><u>-3.5, 2.3</u><u>)</u>
Step-by-step explanation:
Let the point P have coordinates : (x, y)
The line (from R to Q) is divided in the ratio :
Coordinates of :
Using section formula :
- x = mx₂ + nx₁ / m + n
- x = 5(-5) + 1(4) / 5 + 1
- x = -21/6 = -7/2
- x = -3.5
- y = my₂ + ny₁ / m + n
- y = 5(3) + 1(-1) / 5 + 1
- y = 14/6 = 7/3
- y = 2.3
The coordinates of the point P are : <u>(</u><u>-3.5, 2.3</u><u>)</u>
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