Acompany dyes two sizes of rugs. a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. the dyers have to make at least 20 rugs, and they must do it in less than 120 hours. let x equal small rugs and y equal medium rugs. which of the following inequalities can be paired with x + y ≥ 20 to create a system that represents this situation? (5 points) a. 6x + 4y < 120 b. 4x + 6y < 120 c. 6x + 4y > 120 d. 4x + 6y > 120

The blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

What is the solution to the division problem below x3+x2-11x+4/x+4

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain