7. times the second num 8. The sum of the first number squared and the second number is 9. The sum of the first number and twice the second number is 10. The sum of the first number cubed and the second number is sFind oduct is 54 and the product is a maximum. 22. Ма y-a 108 and the product is a maximum. the one table to 500 and the product is a maximum. len Maximum Area In Exercises 11 and 12, find the length and width of a rectangle that has the given perimeter and a maximum area. a m 1000 5 12. Perimeter: P units 1800 11. Perimeter: 80 meters 4 Minimum Perimeter In Exercises 13 and 14 find the length and width of a rectangle that has the given area and a minimum perimeter. 2 ction in (b) and 14. Area: A square centimeters 13. Area: 49 square feet -11 Figu Minimum Distance In Exercises 15 and 16, find the points on the graph of the function that are closest to the given point. is An square 23. М quares tri 15. y 2, (0, 3) 16. y x2- 2, (0, -1) a 17. Minimum Area A rectangular poster is to contain 648 square inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the let and right are to be 1 inch. What should the dimensions of the poster be so that the least amount of poster is used? 18. Minimum Area A rectangular page is to conta 36 square inches of print. The margins on each side are to be 1inches. Find the dimensions of the page such that the least (a 24. t amount of paper is used. s the one 19. Minimum Length A farmer plans to fence a rectangular pasture adjacent to a river (see figure). The pasture must contain 405,000 square meters in order to provide enough grass for the herd. No fencing is needed along the river. What table to V dimensions will require the least amount of fencing? = 484 800

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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.