A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
Please Help
anonymous
 5 years ago
Please Help

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Find the probability that a randomly chosen point in the figure lies in the shaded region...

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is the area of the whole square? What is the area of one of the circles? What is 4 times the area of one circle? What is the area of the whole square minus 4 times the area of one circle? The answer to these questions should provide some insight into the solution. If you have questions or problems about how these areas are related post back and I can try to clarify.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0What is the area of the entire square? Area of a rectangle = length * width. The length is 13, and the width is also 13. Therefore the area is 13*13 = 169. So assuming that each circle has a diameter of 1/2 of 13, what is the area of one of the circles?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.06.5 would be the diameter. Half of that would be the radius. \[ A_{Circle} = \pi r^2\] Where r is the radius of the circle. So what is the area of one circle?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Close, but remember that the radius is squared.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Also recall that 6.5 is the diameter, not the radius. The radius is half the diameter or 3.25.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Correct. So the area of 4 circles would be?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Correct. So the probability of not being in any circles, is the area of the part of the square not in the circles, divided by the total area of the square. If the total area of the square is 169, and the area of all the circles together is 132.68, what is the area of the portion of the square outside the circles?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how would it be set up?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Which? The area of the noncircle part? \[A_{total} = A_{circles} + A_{not\ circles}\] We have calculated the total Area, and the circular areas, so what is the noncircular area?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[A_{total} = 169\] \[A_{circles} = 132.68\] What is \[A_{not\ circles}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Indeed. Now divide that area by the total area to find the probability for a random point to be in that area.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Yep. Remember that probability of a situation is the number of ways that situation can occur divided by the total possible situations you can have. In this case we're working with areas, in the other example we were using lengths, but the process is the same.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.