The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with pdf f(x)= {k[1- (x-3)^2] 2 <= x <= 4
0 Otherwise

Required:
a. Sketch the graph of f(x).
b. Find the value of k.
c. What is the probability that the actual tracking weight is greater than the prescribed weight?
d. What is the probability that the actual weight is within 0.25 g of the prescribed weight?
e. What is the probability that the actual weight differs from the prescribed weight by more than 0.5 g?

If 1 is divided by the sum of y& 4. the result is equal to 3 divided by 4 .find the value of m?

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

What are the measures of ∠a, ∠b, ∠c and ∠d? explain how to find each of the angle measure.