Carrie wanted to make pudding for dessert for her family. however, she couldn't find a recipe that would make 4 servings. she decided to use a recipe for eight servings and use only half as much of each ingreident. the recipe for eight called for 1 1/4 cups of raisins. how many cups of raisins will she need for 4 people?

Acircle has a circumference of 2 pi cm. which statement about the circumference and area is true? a comparison of the area and circumference is not possible since the area cannot be determined. the numerical values of the circumference and area of the circle are equal. the numerical value of the circumference is greater than the numerical value of the area. the numerical value of the circumference is less than the numerical value of the area.

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

Which expression gives the exact value of x?