Find the area of the shaded region. Show all of your work.
2 answers:
Answer:
The answer in 2 decimal places is 335.01 square inches
Step-by-step explanation:
From the problem, the figure has 3 circles inside the rectangle.
The shaded area is the area of the rectangle minus the areas of the 3 circles.
The rectangle has a dimension of 18 in by 30 in.
The circles have radii of 6 in, 9 in and 12 in.
Calculate the areas :
For rectangle :
A=l x w
A=30 x 18=540
For Circles :
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Answer:
a) Figure attached
b) For this case we want this probability:
And we can use the complement rule:
And we can use the cumulative distribution function given by:
And replacing we got:
Step-by-step explanation:
For this case we define the random variable X= depth (in centimeters) of the bioturbation layer in sediment for a certain region, and we know the distribution for X, given by:
Part a
For this case we can see the figure attached.
Part b
For this case we want this probability:
And we can use the complement rule:
And we can use the cumulative distribution function given by:
And replacing we got:
