Oscar has lost his dog in either forest a (with a priori probability 0.4) or in forest b (with a priori probability 0.6). on any given day, if the dog is in a and oscar spends a day searching for it in a, the conditional probability that he will find the dog that day is 0.25. similarly, if the dog is in b and oscar spends a day looking for it there, the conditional probability that he will find the dog that day is 0.15. the dog cannot go from one forest to the other. oscar can search only in the daytime, and he can travel from one forest to the other only at night. in which forest should oscar look to maximize the probability he finds his dog on the first day of the search? given that oscar looked in a on the first day but didn't find his dog, what is the probability that the dog is in a? if oscar flips a fair coin to determine where to look on the first day and finds the dog on the first day, what is the probability that he looked in a?

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

Alogical argument that is presented in graphical form using boxes and arrows is called?

5. which description does not guarantee that a quadrilateral is a squar ajo is a parallelogram with perpendicular diagonals 0% has all sides congruent and all angles congruent o has all right angles and has all sides congruent 10% is both a rectangle and a rhombus 30%