Answer: Expressions A and C yield the same result.
Step-by-step explanation:
When simplifying, it turns out that only A and C reduce to 6x-4
The dimensions are 58 ft × 58 ft. Step-by-step explanation: Let the length of the region be represented as x feet, and the width as y feet. Given a perimeter of 234 feet, the area A can be represented as xy. By differentiating the equation with regards to x, we can determine the point of maximum area, revealing that for x = 58.5 feet, the area's maximum occurs when both dimensions are 58.5 ft.
The null hypothesis is stated as, {H₀}: p = 0.66, H₀: p = 0.66. The alternative hypothesis can be represented as, {Hₐ}: p > 0.66, Hₐ: p > 0.66. For clarity, let p denote the fraction of students that support making the day before Thanksgiving a holiday. Since we are evaluating two different populations, it is necessary to articulate the alternative hypothesis concerning the difference in their means. The ratio indicating that two-thirds of the students support this holiday is p = 0.66, derived as follows: The null hypothesis is, {H₀}: p = 0.66, H₀: p = 0.66. In contrast, the alternative hypothesis is, {Hₐ}: p > 0.66, Hₐ: p > 0.66.
