Starting at a fixed time, each car entering an intersection is observed to see whether it turns left (L), right (R), or goes straight ahead (A). The experiment terminates as soon as a car is observed to turn left. Let X = the number of cars observed. What are possible X values?

X can assume any integer value equal to or greater than 1.

X = [1, ∞)

Step-by-step explanation:

The lowest possible value of X occurs when the first car observed turns left, thus ending the experiment. In this case, X = 1.

On the other hand, although unlikely, it is possible that no car ever turns left and so the experiment could theoretically  go on forever. In this case X → ∞

X can also assume any integer value in between those two extremes.

Therefore, X can assume any integer value equal to or greater than 1.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

where's the diagram?

step-by-step explanation: