Answer:
The df values for the A x B interaction are also 3,40
Step-by-step explanation:
The F-value for Factor A has df = 1, 40
The F-value for Factor B has df = 3, 40.
The df values for the A x B interaction are also 3,40
This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and the source of variation between rows has (r-1); rc(n-1) degrees of freedom and the source of variation of interaction
(between rows and columns) has ( c-1) ( r-1); rc(n-1) degrees of freedom.
Therefore
Factor A: ( c- 1); rc(n-1) = 1,40
<u>Factor B: (r-1); rc(n-1) = 3,40</u>
Interaction : ( c-1) ( r-1); rc(n-1) = 3*1,(40)= 3,40
where c refers to columns , r refers to rows and n refers to the total sample size.
BC is 10 units and AC is
units
Step-by-step explanation:
Let us revise the sine rule
In ΔABC:

- AB is opposite to ∠C
- BC is opposite to ∠A
- AC is opposite to ∠B
Let us use this rule to solve the problem
In ΔABC:
∵ m∠A = 45°
∵ m∠C = 30°
- The sum of measures of the interior angles of a triangle is 180°
∵ m∠A + m∠B + m∠C = 180
∴ 45 + m∠B + 30 = 180
- Add the like terms
∴ m∠B + 75 = 180
- Subtract 75 from both sides
∴ m∠B = 105°
∵ 
∵ AB = 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (BC) × sin(30) =
× sin(45)
∵ sin(30) = 0.5 and sin(45) = 
∴ 0.5 (BC) = 5
- Divide both sides by 0.5
∴ BC = 10 units
∵ 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (AC) × sin(30) =
× sin(105)
∵ sin(105) = 
∴ 0.5 (AC) = 
- Divide both sides by 0.5
∴ AC =
units
BC is 10 units and AC is
units
Learn more:
You can learn more about the sine rule in brainly.com/question/12985572
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Answer:
This is quite simple when you consider it. go to -4 on the x axis and find where it goes on the y which in this case is 1. so the output for y is 1
Step-by-step explanation:
Answer:
3 inches
Step-by-step explanation:
6 divded by 2 (or in half ) is 3