10) A particle is moving along the x-axis. The graph at right shows its velocity over time. The numbers shown are the areas of the regions. a) Approximately when, in the interval (0,c), does the particle reach its greatest speed? 4. 24 b) Approximately when does the particle have an acceleration of zero? c) What is the particle's displacement at time t = c? {This counts as three separate problems – they each may be correct or have an error.} Solution? a) The greatest speed is at the largest value; that is, somewhere approximately in the middle of the interval [a, b]. b) The particle has an acceleration of zero at t = 0, a, b, & c as that is when the graph crosses the t-axis. c) The displacement at t = c is just 4 + 5+ 24 = 33 units.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.