A Ball Is Dropped from a Height of 11 Feet $\frac{2}{3}$

question 37

Multiple Choice

A ball is dropped from a height of 11 feet and bounces.Each bounce is $\frac{2}{3}$ of the height of the bounce before.Find an expression for the height to which the ball rises after it hits the floor for the n^th time.

• A) \(11\left(\frac{2}{3}\right) \cdot n\)
• B) \(11\left(\frac{2}{3}\right)^{n}\)
• C) \(11\left(1-\left(\frac{2}{3}\right)^{n}\right)\)
• D) \(\frac{11\left(1-\left(\frac{2}{3}\right)^{n}\right)}{1-\frac{2}{3}}\)

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Definitions:

Expectancy

In psychology, it refers to the belief about the likelihood of achieving a desired outcome through specific actions.

Reinforcement Value

The subjective importance or appeal an outcome has for an individual, which can influence the likelihood of the person performing the behavior leading to that outcome.

Verbal Abusiveness

The use of words to cause harm to a person, including insults, criticisms, or threats, often resulting in psychological pain and distress.

Locus of Control

A psychological concept that refers to how strongly people believe they have control over the situations and experiences that affect their lives.