Evaluate the Integral Using the Given Substitution $$\int 15 ( 5 x - 7 ) ^ { - 5 } d x , \quad u = 5 x - 7$$

question 66

Multiple Choice

Evaluate the integral using the given substitution.
- $$\int 15 ( 5 x - 7 ) ^ { - 5 } d x , \quad u = 5 x - 7$$

• A) \(( 5 x - 7 ) ^ { - 4 } + C\)
• B) \(- \frac { 3 } { 2 } ( 5 x - 7 ) ^ { - 4 } + C\)
• C) \(- \frac { 1 } { 2 } ( 5 x - 7 ) ^ { - 6 } + C\)
• D) \(- \frac { 3 } { 4 } ( 5 x - 7 ) ^ { - 4 } + C\)

Explain the principles of acceptance sampling and its impact on quality control.

Understand the concept of process capability and its measures.

Distinguish between natural and assignable causes of variation and their impact on process control.

Define key terminology related to process capability, including CS1U1B1pS1U1B0 and CS1U1B1pkS1U1B0.

---

Definitions:

Reinforcement Theory

A concept in behavioral psychology where the probability of a behavior occurring is increased by following it with rewards (positive reinforcement) or the removal of negative stimuli (negative reinforcement).

Behaved Worse

Displaying behavior that is more negative or less desirable than previously or typically expected.

Prosocially

Behaving in a way that is intended to benefit others, characterized by actions that demonstrate concern and help for the well-being of others.

Romantic Advances

Actions or gestures aimed at signaling or initiating a romantic interest towards another person.