1. One aspect of interest in higher education is the six-year graduation rate (the proportion of high school graduates that earn a bachelor's degree within 6 years.). Suppose the six-year graduation rate for some state is 55%. a. If a random sample of 300 high school graduates from 2015 are randomly sampled and contacted this year about whether or not each has earned a bachelor's degree, give the properties (and provide a sketch) for the sampling distribution for the sample proportion that have earned a bachelor's degree. b. Find the probability the sample will yield more than 60% having attained a bachelor's degree.

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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.