At a Ticket Booth, Customers Arrive Randomly at a Rate $f ( x ) = \frac { x ^ { 2 } } { 400 - 20 x }$

question 146

Multiple Choice

At a ticket booth, customers arrive randomly at a rate of x per hour. The average line length is $f ( x ) = \frac { x ^ { 2 } } { 400 - 20 x }$ where $0 \leq x < 20$ To keep the time waiting in line reasonable, it is decided that the average line length should not exceed 6 customers. Solve the inequality $\frac { x ^ { 2 } } { 400 - 20 x } \leq 6$ to determine the rates x per hour at which customers can arrive before a second attendant is needed.

• A) \(0 \leq x \leq 17\)
• B) \(0 \leq x \leq 18\)
• C) \(0 \leq x \leq 16\)
• D) \(0 \leq x \leq 19\)

Understand the process and dynamics of therapy, including the potential for client resistance and the therapist's role.

Recognize the role of medication and other biological treatments in managing mental illness.

Understand research methodologies employed in psychotherapy effectiveness studies, including controlling for biases.

Understand the characteristics and cooperation levels of patients suffering from various psychological disorders.

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Definitions:

Classical Conditioning

The process of learning in which two stimuli are systematically paired together, so that a response first drawn out by the second stimulus is in time drawn out by only the first stimulus.

Unconditioned Stimulus

A stimulus that naturally triggers a reflex or response without the need for prior learning.

Conditioned Stimulus

In classical conditioning, a previously neutral stimulus that, after becoming associated with an unconditioned stimulus, eventually triggers a conditioned response.

Classical Conditioning

A learning process that occurs when two stimuli are repeatedly paired: a response that is at first elicited only by the second stimulus is eventually elicited by the first stimulus alone.