Answer:
Given equation are:
......[1]
.....[2]
- The two lines are parallel lines then their slopes will be equal.
- When two lines are perpendicular then, the slope of lines are the negative reciprocals of each other.
Now, Equation of a line is in the form of y =mx+b where m is the slope of the line.
Slope of equation of line in [1] is;
then;
Slope of equation of line in [2];
Add both sides 2x we get;
-2x + 8y + 2x = 2x + 4
Simplify:
8y = 2x +4
Divide both sides by 8 we get;
then;
Therefore, the given two lines are neither parallel nor perpendicular.
Answer:
5 and 6 Your Answer is (5,8)
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10 small boxes and 11 large boxes were shipped.
Step-by-step explanation:
Given,
Total boxes shipped = 21
Total volume of shipped boxes = 342 cubic feet
Volume of each small box = 10 cubic feet
Volume of each large box = 22 cubic feet
Let,
Number of small boxes = x
Number of large boxes = y
According to given statement;
x+y=21 Eqn 1
10x+22y=342 Eqn 2
Multiplying Eqn 1 by 10
Subtracting Eqn 3 from Eqn 2
Dividing both sides by 12
Putting y=11 in Eqn 1
10 small boxes and 11 large boxes were shipped.
Keywords: linear equation, subtraction
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Answer:
A Type I error would occur if there was no evidence of an improvement on the national exam but there really was improvement.
Step-by-step explanation:
A type 1 error simply occurs when we incorrectly reject a true null hypothesis. In the scenario above, An experiment was conducted in other it know if there is sufficient evidence to support a claim that a new teaching method developed improves students score. If this claim is actually true in the real sense. However, after conducting a statistical test, we conuded that there was no sufficient evidence to support her claim of improvement using the new method, hence, the claim was rejected. By rejecting the claim, a true null has been rejected. Hence, a type 1 error has been committed.
Answer:
a and c
Step-by-step explanation: