Mathematics, 11.03.2021 09:40 vandarughb5653
The town of KnowWearSpatial, U. S.A. operates a rubbish waste disposal facility that is overloaded if its 4887 households discard waste with weights having a mean that exceeds 26.88 lb/wk. For many different weeks, it is found that the samples of 4887 households have weights that are normally distributed with a mean of 26.64 lb and a standard deviation of 12.93 lb.
What is the proportion of weeks in which the waste disposal facility is overloaded?
P(M > 26.88) =
Enter your answer as a number accurate to 4 decimal places. NOTE: Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Is this an acceptable level, or should action be taken to correct a problem of an overloaded system?
Yes, this is an acceptable level because it is unusual for the system to be overloaded.
No, this is not an acceptable level because it is not unusual for the system to be overloaded.
Answers: 1
Mathematics, 20.06.2019 18:04
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?
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