At a school fair, students were challenged to hit one of the small congruent circles on the large rectangular board with a ball. Find the probability of hitting any small circle. Type answer as a percent.

4.66%

Step-by-step explanation:

The probability of hitting any small circle is the combined are of the three circles divided by the area of the rectangle.

p(circle) = (combined are of the the circles)/(area of rectangle)

area of circle = (pi)r^2

area of rectangle = length * width

p(circle) = [3 * (pi)r^2]/(length * width)

p(circle) = [3 * (3.14159)(3^2)]/(52 * 35)

p(circle) = [27(3.14159)]/(1820)

p(circle) = 0.0466 = 4.66%

4.66%

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: