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raketka [301]
3 years ago
9

According to these three facts, which statements are true?

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0
We have that

1)<span>Circle W has center (−3, 0) and radius 8
the equation of a circle W is
(x+3)</span>²+(y)²=8²

2)<span>Circle V is a translation of circle W, 2 units down.
the center of circle V--------> (-3,0-2)---------> (-3,-2)

3)</span><span>Circle V is a dilation of circle W with a scale factor of 2.
then the radius circle V is 8*2------> 16 units
</span>the equation of a circle V is
(x+3)²+(y+2)²=16²

therefore

 case <span>A. Circle V and circle W are similar.---------> is correct
</span>because  I can transform circle V to circle W using only translations, rotations and scaling  (In the case of circles, no rotations are necessary).

case <span>B. Circle V and circle W have the same center.-------> is not correct

case </span><span>C. The radius of circle V is 16.-----------> is correct

case </span><span>D. The center of circle V is (−5, 0).----------> is not correct


the answer is
</span> case A. Circle V and circle W are similar.---------> is correct
 case C. The radius of circle V is 16.-----------> is correct
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notsponge [240]

The question given is incomplete, I googled and got the complete question as below:

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.

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b. What is the probability that your last pot will be empty?

Answer:

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b. Probability = 0.0907

Step-by-step explanation:

This is Poisson distribution with parameter λ=2.4

a)

The probability that your last pot will have the necessary 7 crabs is calculated below:

P(X=7)=  {e-2.4*2.47/7!} = 0.0083

b)

The probability that your last pot will be empty is calculated as:

P(X=0)=  {e-2.4*2.40/0!} = 0.0907

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