Afire station is to be located along a road of length a , a < [infinity] . if fires occur at points uniformly chosen on (0, a ), where should the station be located so as to minimize the expected distance from the fire? that is, choose a so as to minimize e [ | x − a | ] when x is uniformly distributed over (0, a ). now suppose that the road is of infinite length—stretching from point 0 outward to [infinity] . if the distance of a fire from point 0 is exponentially distributed with rate λ , where should the fire station now be located? that is, we want to minimize e [ | x − a | ] , where x is now exponential with rate λ

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

addition

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.

in english this is

ex.15 pag.85 create. write in ten lines the continuation of the ballad of the five motanasi, using verbs to the imperfect and to the perfect compound. five stars

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