An SRS of 400 American adults is asked, "What do you think is the most serious problem facing our schools?" Suppose that in fact 45% of all adults would answer "violence" if asked this question. The proportion p of the sample who answer "violence" will vary in repeated sampling. In fact, we can assign probabilities to values of p using the normal density curve with mean 0.45 and standard deviation 0.025. Use this density curve to find the probabilities of the following events. (a) At least 50% of the sample believes that violence is the schools' most serious problem. (b) Less than 40% of the sample believes that violence if the most serious problem. (c) The sample proportion is between 0.4 and 0.5.
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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