Answer:
The percentage of workers not wearing the helmets is 5.3 %.
Step-by-step explanation:
A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence
total workers = 900
Not wearing helmet = 48
Percentage which are not wearing the helmets
= %
The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units
<h3>How to determine the quadrilateral?</h3>The vertices are given as:
A:(-2, 3) B:(4, -6) C:(10, 2) D:(6, 8)
Next, we plot the vertices (see attachment)
From the attached graph, we can see that the quadrilateral is a trapezoid
<h3>How to determine the area?</h3>From the plot, we have the following features:
Height: AD
Parallel sides: CD and AB
Calculate the lengths using:
So, we have:
The area is then calculated as:
Area = 0.5 * (CD + AB) * AD
This gives
Area = 0.5 * (√52 + √117) * √89
Evaluate
Area = 85.04
Hence, the area of the quadrilateral is 85.04 square units
Read more about areas at:
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