Roll a fair die repeatedly and let Y 1 ;Y 2 ;::: be the resulting numbers. Let X n D jfY 1 ;Y 2 ;:::;Y n gj be the number of values we have seen in the first n rolls for n ? 1 and set X 0 D 0. X n is a Markov chain. (a) Find its transition probability. (b) Let T D minfn W X n D 6g be the number of trials we need to see all 6 numbers at least once. Find ET.

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step-by-step explanation:

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation:

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh