evapeanut08
Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

The figure below shows a shaded circular region inside a larger circle:
r3 inches
R5 inches
What is the probability that a point chosen inside the larger circle is not in the shaded region?
O 24%
O 36%
O 50%
O 64%

Sagot :

iicryxtalrubi

Answer:

Probability is 64%

Step-by-step explanation:

Given the smaller circle which is shaded whose radius is denoted by r and  the largest circle whose radius is denoted by R

                     r = 3 inches

                    R = 5 inches

Step 1 : To calculate the area of shaded region.

Area of circle =

⇒ Area =    

          =   square inches

Step 2 : To calculate the area of larger circle.

Area of circle =

⇒ Area =    

            =  square inches

Step 3 : Calculate the probability that a point chosen from shaded region

Probability = Area of shaded region/Area of larger circle.

                  =  /

                  =  

                  =  0.36 = 36%

Step 4 : calculate the probability that a point chosen inside the larger circle is not in shaded region.

Probability = 1 - 0.36

                  = 0.64 = 64%

Hence the probability is 64%

Step-by-step explanation:

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.