Which of the following scenarios describes a Markov Chain (stochastic matrix) situation? a. Two neighboring restaurants are competing to win the most popular award for 2020. This award is awarded depending on two categories: Food (F) and Drinks (D). During this competition, restaurants place two different booths each, one for food from the restaurant and one for drinks from that restaurant. Customers can walk up and pick up what they want, however, they can only pick up one item from each restaurant. The proportion of selections in each category will determine the winner.

b. A citizen of FasciLand may live in either city A or city B. The descendants may also only live in city A or city B. The probability of a descendant’s choosing which city to live in depends upon where the parents live.
c. Kermit the frog sells both tree frogs and poison dart frogs at two different shops. Both frogs can be bought and returned by the customers at either shop at any given time (as long as the frog is alive). Kermit uses the data to determine how many salespeople to deploy at each shop.
d. There are two required science courses for first year students at Handson School of Engineering, physics and chemistry. Which course they take first semester depends on their advisors’ recommendation, and on their general interests. The registrar uses the proportion of students having taken those courses in the past to determine how large a classroom to allocate to each course.

step-by-step explanation:

12 minutes

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.