If a mason can make 12 hollow blocks in 3 h, how many hollow blocks can he make in 10 h?
1 answer:
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The least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is (x-6)(x+1)(x-6).
In the given question
...(i)
First we will factor each denominator
So,
x²-5x-6
On splitting the factors of the above expression , we get
(x+1)(x-6) ....(ii)
x²-12x+36
On splitting the factors of the above expression , we get
(x-6)(x-6) ...(iii)
Substituting the value of (ii) and (iii) in (i) ,we get ;
As the LCM of denominator is the Least common denominator , we have
LCM of (x+1)(x-6) and (x-6)(x-6)
LCM=(x-6)(x+1)(x-6)
Hence the LCD is (x-6)(x+1)(x-6).
Therefore , the least common denominator for the rational expressions 1/x²-5x-6 and 1/x²-12 x+36 is (x-6)(x+1)(x-6).
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Answer:
a. z-score for the number of sags for this transformer is ≈ 1.57 . The number of sags found in this transformer is within the highest 6% of the number of sags found in the transformers.
b. z-score for the number of swells for this transformer is ≈ -3.36. The number of swells found in the transformer is extremely low and within the lowest 1%
Step-by-step explanation:
z score of sags and swells of a randomly selected transformer can be calculated using the equation
z= where
- X is the number of sags/swells found
- M is the mean number of sags/swells
- s is the standard deviation
z-score for the number of sags for this transformer is:
z= ≈ 1.57
the number of sags found in the transformer is within the highest 6% of the number of sags found in the transformers.
z-score for the number of swells for this transformer is:
z= ≈ -3.36
the number of swells found in the transformer is extremely low and within the lowest 1%