If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula below where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot. D = 0.265t2 − 4.055t + 15.5 (a) Make a graph of D versus t. Include values of t up to 7.5 minutes. (b) Calculate D(5). (Round your answer to two decimal places.) D(5) = Explain in practical terms what your answer means. (Round the numerical answer to two decimal places.) The depth of the water is inches the spigot after the spigot has been open 5 minutes. (c) When will the water jug be completely drained? (Round your answer to two decimal places.) min
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.
If a completely full 5-gallon water jug is drained through a spigot, the depth is given by the formula below where t is the time, in minutes, that the spigot is open and D is the depth, in inches, above the spigot.
D(5) =
Explain in practical terms what your answer means. (Round the numerical answer to two decimal places.)
(c) When will the water jug be completely drained? (Round your answer to two decimal places.)
min
(d) Does the water drain faster near the beginning or when the water is mostly drained?
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