Business, 02.08.2019 02:30, victoriadorvilu

Afirm is accustomed to training operators who do certain tasks on a production line. those operators who attend the training course are known to be able to meet their production quotas 90% of the time. new op- erators who do not take the training course only meet their quotas 65% of the time. fifty percent of new op- erators attend the course. given that a new operator meets her production quota, what is the probability that she attended the program?

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58%
Given that the new operator met the quota, that means that she's either one of the 90% of the trained operators, or one of the 65% of the untrained operators. And since the split between the trained and untrained operators is 50/50, we have
0.90 * 0.5 = 0.45 of all the operators have been trained and meet quota. 0.65 * 0.5 = 0.325 of all the operators have not been trained and meet quota.
So 0.45 + 0.325 = 0.775 of all operators meet quota.
So the probability of her being trained is
0.45 / 0.775 = 0.580645161 = 58.0645161%
Rounding to 2 significant figures gives 58%

answered: Usman458

58%

Explanation:

The find out the operators who were trained and met quota, 0.9* 0.5 = 0.45

Operators who were not trained but met quota, 0.65*0.5 = 0.325

Since fifty percent operators attended the course, so the probability is 50/50 of completing quota.

Now, probability of all the operators who completed quota of production is 0.45 + 0.325 = 0.775

So, the probability that the operator who completed quota of production is 0.45/ 0.775 = 0.58, i.e. 58%

We can say that there is a 58% chance that she attended the course that is why she completed the production quota.

answered: Guest

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answered: Guest

The measure of an economic adopted

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Afirm is accustomed to training operators who do certain tasks on a production line. those operators...