First step is to simplify the inside of the radical. There are x's on both top and bottom of the fraction. So we subtract their exponents. x³ - x¹ = x². Because the x³ was in the denominator and it was bigger, the x² goes on the bottom.
Your new equation is:
Now, I'd suggest factoring each term to correspond with the square root.
126y⁵ = 9 · 14 · y² · y² · y
32x² = 4 · 4 · 2 · x²
9, y², and y² can be square rooted in the numerator. 4, 4, and x² in the denominator. So we pull out their square roots and place them outside of the radical. The rest stays in the radical:
Simplify to get your final answer:
It's easier to explain on paper and in person than over computer text, sadly. Hopefully you can follow along with this.
What was it less than, any absolute value is like a whole number, so yeah
Answer:
the damaged items expected in the case when the 23,025 capacitors produced is 75
Step-by-step explanation:
The computation of the damaged items expected in the case when the 23,025 capacitors produced is shown below:
= (5 × 23,025 capacitors) ÷ (1,535 capacitors)
= 75
Hence, the damaged items expected in the case when the 23,025 capacitors produced is 75
Answer:
Normal Distribution
Standard error = 0.473
Step-by-step explanation:
We are given the following information:
A procurement specialist has purchased 25 resistors from vendor 1 are assumed to be normally distributed with mean 100 ohms and standard deviation 1.5 ohms.
A procurement specialist has purchased 30 resistors from vendor 2 are assumed to be normally distributed with mean 105 ohms and standard deviation 2.0 ohms.
The difference of two independent normally distributed random variables is normal, with its mean being equal to the difference of the two means, and its variance being the sum of the two variances.
Thus, the sampling distribution of 
is a normal distribution.
Mean =
Standard error =
