A polling firm wants to use a one-sample z interval to estimate what proportion of voters in a country plan on voting for a certain candidate. They want the margin of error to be no more than £3% at 99% confidence.
What is the smallest sample size required to obtain the desired margin of error?

Afurniture manufacturer produces chairs and sofas. each chair requires 10 yards of fabric, and each sofa requires 20 yards of fabric. the manufacturer has 300 yards of fabric available. to fulfill orders, the number of sofas must be at least twice the number of chairs. let x be the number of chairs and y the number of sofas. which inequalities are described in the problem? check all of the boxes that apply

If the discriminant if a quadratic equation is 4 which statement describes the roots?

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|