Purchase of Generic Products A survey carried out for a supermarket classified customers according to whether their visits to the store are frequent or infrequent and whether they often, sometimes, or never purchase generic products. The accompanying table gives the proportions of people surveyed in each of the six joint classifications. Complete parts (a) through (h). Frequency of Visit Often Sometimes Never Frequent Infrequent 0.21 0.36 0.15 0.09 0.11 0.08 a. What is the probability that a customer is both an infrequent shopper and often purchases generic products? 0.09 (Do not round.) b. What is the probability that a customer who never buys generic products visits the store infrequently? 0.3478 (Round to four decimal places as needed.) c. Are the events "Never buys generic products" and "Visits the store infrequently" independent? V No O Yes d. What is the probability that a customer who frequently visits the store often buys generic products? 0.2917 (Round to four decimal places as needed.) e. Are the events "Often buys generic products" and "Visits the store frequently" independent? O No
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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