Answer the Question $\mathrm { n }$ Is Large $\mathrm { n }$

question 48

Multiple Choice

Answer the question.
-Many calculators or computers cannot directly calculate 70 ! or higher. When $\mathrm { n }$ is large, $\mathrm { n }$ ! can be approximated by $\mathrm { n } ! = 10 ^ { \mathrm { K } }$ , where $\mathrm { K } = ( \mathrm { n } + 0.5 ) \log \mathrm { n } + 0.39908993 - 0.43429448 \mathrm { n }$ . Evaluate 78 ! using the approximation given above.

• A) \(1.151 \times 10 ^ { 2 }\)
• B) \(1.131 \times 10 ^ { 115 }\)
• C) \(1.281 \times 10 ^ { 114 }\)
• D) \(3.356 \times 10 ^ { 308 }\)

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Definitions:

Rorschach Inkblot Test

A projective psychological test consisting of ten inkblots used to analyze an individual's personality structure and emotional functioning.

Rorschach Inkblot Test

A psychological test in which subjects' perceptions of inkblots are recorded and analyzed for insight into their mental state.

Physiological Responses

The body's automatic reactions to a stimulus, including changes in heart rate, hormone levels, blood pressure, and other bodily functions.

Projective Tests

Psychological assessments that use ambiguous stimuli to elicit responses that reflect the responder's feelings, desires, and conflicts.