When water changes to steam, its volume increases rapidly. At a normal atmospheric pressure of 14.7 pounds per square inch, water boils at 212 degrees Fahrenheit and expands in volume by a factor of 1700 to 1. But when water is sprayed into hotter areas, the expansion ratio is much greater. This principle can be applied to good effect in fire fighting. The steam can occupy such a large volume that oxygen is expelled from the area and the fire may be smothered. The table below shows the approximate volume, in cubic feet, of 50 gallons of water converted to steam at the given temperatures, in degrees Fahrenheit. T= temperature V= cubic feet of steam 212 400 10,000 500 800 1000 12,500 14,100 17,500 20,000 (a) Make a linear model of volume V as a function of T. (Round the regression line parameters to two decimal places.) V(T) = (b) If one fire is 100 degrees hotter than another, what is the increase in the volume of steam produced by 50 gallons of water? (Round your answer to two decimal places.) ft (c) Calculate V(460). Round your answer to the nearest whole number. ft Explain in practical terms what your answer means. Round your answers to the nearest whole number. Fifty gallons of water applied to a fire of ] degrees Fahrenheit will produce about cubic feet of steam. (d) At a certain fire, 50 gallons of water expanded to 14,300 cubic feet of steam. What was the temperature of the fire? (Round your answer to two decimal places.) oF

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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.