Tada, Its on the Image. Hoped I helped :)
Answer:
3.00
Step-by-step explanation:
USL = 350+18 = 368
z = (USL-Mean)/6*σ = (368-350)/6*σ
σ = 3/0.9999966 = 3.00 (approx)
Answer:
Option 4 is correct.
The equation
is equivalent to 
Step-by-step explanation:'
Given equation: 
First group the terms with x and those with y;

Next, we complete the squares.
We can do this by adding a third term such that the x terms and the y terms are perfect squares.
For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.
⇒
or



Add 360 on both sides we get;

Simplify:

Therefore, the given equation is equivalent to 
Answer:
dy/dx = -1/√(1 - x²)
For 0 < y < π
Step-by-step explanation:
Given the function cos y = x
-siny dy = dx
-siny dy/dx = 1
dy/dx = -1/siny (equation 1)
But cos²y + sin²y = 1
=> sin²y = 1 - cos²y
=> siny = √(1 - cos²y) (equation 2)
Again, we know that
cosy = x
=> cos²y = x² (equation 3)
Using (equation 3) in (equation 2), we have
siny = √(1 - x²) (equation 4)
Finally, using (equation 4) in (equation 1), we have
dy/dx = -1/√(1 - x²)
The largest interval is when
√(1 - x²) = 0
=> 1 - x² = 0
=> x² = 1
=> x = ±1
So, the interval is
-1 < x < 1
arccos(1) < y < arxcos(-1)
= 0 < y < π
Answer:
4x + 6
Step-by-step explanation:
Given
+ 
Before we can add the fractions we require them to have a common denominator.
Factor the denominator of the first fraction
+ 
Multiply the numerator / denominator of the second fraction by (x + 2)
=
+
← fractions now have a common denominator
Add the numerators leaving the denominators
= 
= 
=
← simplified sum with numerator 4x + 6