For a long-distance phone call, a hotel charges $9.99 for the first minute and $0.79 for each additional minute or fraction thereof. A formula for the cost is given by C(t) = 9.99 − 0.79⟨1 − t⟩, t > 0 where t is the time in minutes. (Note: ⟨x⟩ = greatest integer n such that n ≤ x. For example, ⟨3.2⟩ = 3 and ⟨−1.6⟩ = −2.) (a) Evaluate C(10.75). What does C(10.75) represent? (b) Use a graphing utility to graph the cost function for 0 < t ≤ 6. Does the limit of C(t) as t approaches 3 exist? Explain.
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.
For a long-distance phone call, a hotel charges $9.99 for the first minute and $0.79 for each additional minute or fraction thereof. A formula for the cost is given by C(t) = 9.99 − 0.79⟨1 − t⟩, t > 0 where t is the time in minutes. (Note: ⟨x⟩ = greatest integer n such that n ≤ x. For example, ⟨3.2⟩ = 3 and ⟨−1.6⟩ = −2.) (a) Evaluate C(10.75). What does C(10.75) represent? (b) Use a graphing utility to graph the cost function for 0 < t ≤ 6. Does the limit of C(t) as t approaches 3 exist? Explain.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
