A Galaxy Cluster Is Measured to Have a Radius of 8

question 47

Essay

A galaxy cluster is measured to have a radius of 8 x10¹⁹ km, and the small outer galaxies are measured to orbit the cluster center with a circular velocity of 900 km/s.What is the mass of this cluster's core? (Recall that G = 6.67 *10^-11 N m² kg^-2.)

Calculate and understand what standard deviation indicates about data spread.

Match data sets with appropriate visual representations like histograms or boxplots.

Distinguish between the characteristics of different distributions (e.g., skewness, bimodality) using both graphical representations and summary statistics.

Interpret quartiles and interquartile ranges from boxplots.

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Definitions:

Anxiety

Anxiety is a feeling of fear, dread, or apprehension, often with no clear justification. It can affect both the mind and the body, leading to physical symptoms as well as psychological distress.

Self-Protective Mechanisms

Psychological strategies employed by individuals to defend themselves against threats to their self-esteem or well-being.

Basic Anxiety

A term introduced by psychoanalyst Karen Horney, referring to feelings of helplessness and insecurity that arise from living in a potentially hostile world, which can significantly affect one's relationships and self-image.

Drive for Perfection

A motivating force that compels individuals to strive for flawlessness and set excessively high performance standards.