Answer:
a.5
Step-by-step explanation:
The computation of the value for df^{between treatments} is shown below:
According to the question, the data provided is as follows
Two levels of factor A
And, there are three of factor B
So, the total number of treatment conditions is
= 2 × 3
= 6
Now the value for df^{between treatments} is
= 6 - 1
= 5
Hence, the correct option is a.5
BD = BC + CD
7x - 10 = (4x - 29) + (5x - 9)
7x - 10 = 9x - 38
2x = 28
Ans: x = 14
BC = 4x - 29
= 4(14) - 29
= 27
Ans: BC = 27
CD = 5x - 9
= 5(14) - 9
= 61
Ans: CD = 61
BD = 61 + 27
= 88
Ans: BD = 88
Answer:
p = (2k + 1)i + j
q = 25i + (k + 4)j
p . q = 11
Find the dot product of p and q
(2k + 1)(25) + (k + 4) = 11
50k + 25 + k + 4 = 11
51k = -18
k = - 18/51 = –6/17.✅
b) p.q = |p||q|cos∅
p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j
|p| = √ (5/17)² + 1²
|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424
q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j
q = 25i + 62/17 j
|q| = √ 25² + (62/17)²
= 25.2646
Now applying them to the formula above
We already have p.q = 11 from the question.
11 = (1.0424)(25.2646)Cos∅
11 = 26.3358Cos∅
Cos∅ = 11/26.3358
Cos∅ = 0.4177
∅ = 65.31°.
This should be it.
Hope it helps
