The risk of tornado hitting a city is of interest. let the tornado hit area be modeled as rectangle of width 2 km and length 10 km and assume the city is modeled as a circle of 20 km radius. if it is known that the center of a tornado has hit within 100 km of the center of the city, what is the probability that the tornado has hit the city? assume the tornado is equally likely to occur anywhere and in any orientation within the 100-km radius area. (hint: compute the conditional probability for a given orientation of the hit area.)

He concluded that a heavier object dropped from the same height as a lighter object will land

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

What other information do you need to prove triangle dac=bca by asa