Answer:
She used inductive reasoning. (False)
She used the law of detachment. (True)
Her conclusion is valid. (True)
The statements can be represented as "if p, then q and if q, then r." (False)
Her conclusion is true. (True)
Step-by-step explanation:
p = Two lines are perpendicular
q = They intersect at Right angles.
Given: A and B are perpendicular
Conclusion: A and B intersect at right angle.
According to the law of detachment, There are two premises (statements that are accepted as true) and a conclusion. They must follow the pattern as shown below.
Statement 1: If p, then q.
Statement 2: p
Conclusion: q
In our case the pattern is followed. The truth of the premises logically guarantees the truth of the conclusion. So her conclusion is true and valid.
Answer: Our required probability is 0.167.
Step-by-step explanation:
Since we have given that
n = 15
Probability of success p = 80% = 0.8
Probability of failure q = 20% = 0.2
We need to find the probability that at least fourteen will work.
So, by Binomial distribution, we get that

Hence, our required probability is 0.167.
Given :
On a map with a scale 1: 25000 .
The area of a lake is 33.6 square centimeters.
To Find :
The actual area of the lake.
Solution :
Let, actual area of lake is A.
So,

We know , 
Area in km² is :

Hence, this is the required solution.
For the first question x is equal to 4. You get this by adding 7x+2 and 3x and equal it to 42. And then solve algebraically so 10x+2=42
10x=40 so x equals 4
For the second question x is equal to 6.666 and y is equal to 9
You get this by getting x is to 10 as 4 is to 6 and you get y by 6 is to y as 4 is to 6
Hope this helps
Answer:
here
Step-by-step explanation:
-3,3
2,3
3,3
4,3
I hope this helped! :D