1. A researcher for the U.S. Treasury department surveyed a sample of 780 Americans and asked each if they would be in favor of abolishing the penny. The sample found 149 supported the idea. Estimate with 98% confidence the proportion of all Americans that support abolishing the penny. [Use Z*=2.33]. a. b. Verify the conditions for your procedure above to be considered valid. c. How many Americans would need to be sampled to estimate the desired proportion to within a margin of error of 3%?
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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