A store has issued two different coupons for its customers to use. One coupon gives customers $25 off their purchase price, and the other coupon gives customers 20% off of their purchase. The store allows customers to use both coupons and choose which coupon to apply first. For this context, ignore sales tax. Let f be the function that inputs a cost (in dollars) and outputs the cost after applying the "$25 off" coupon, and let g be the function that inputs a cost (in dollars) and outputs the cost after applying the "20% off" coupon. a. A customer purchases an item for $120 and asks the cashier to apply the "$25 off" coupon first, followed by the "20% off" coupon. What is the cost of the item after the two coupons are applied? $ 76 Preview b. A customer purchases an item for $120 and asks the cashier to apply the "$25 off" coupon first, followed by the "20% off" coupon. Use function notation to represent the cost of the item (in dollars) after the two coupons are applied. f(g(x))= 0.8 (x-25) Preview c. A customer purchase an item for $120 and asks the cashier to apply the "20% off" coupon first, followed by the "$25 off" coupon. What is the cost of the item after the two coupons are applied?

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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.