Workers at a factory produce a toy with a defect about once every 4 hours on average. each toy costs the factory approximately $7 in labor and supplies.

c) what is the expected cost to the factory for toys with defects at the end of a 40-hour work week?

$70 is the expected cost.  

Step-by-step explanation:

A toy with a defect is produced once every 4 hours on average. To calculate the total of toys with a defect at the end of a 40-hour work week, you must follow the next steps:

1. Divide the total of hours of the work week by the time average of a toy with a defect is produced in the factory:

This means 10 toys with a defect are produced on average in a 40-hour work week.  

2. Now that you calculated the number of toys with a defect, multiply it by the cost to the factory to produce one defected toy which is 7$:

To conclude, $70 is the expected cost to the factory for toys with defects at the end of a 40-hour work week, having in mind that the factory produces a toy with a defect about once every 4 hours on average.  

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584