Box A has 2 rectangles with base 10 inches and height 4 inches. It has 2 rectangles with base 10 inches and height 3 inches. It has 2 rectangles with base 3 inches and height 4 inches. Box B has 2 rectangles with base 6 inches and height 5 inches. A rectangle with base 6 inches and height 8 inches. 2 triangles with base 8 inches and height 3 inches.
A shipping company is designing new cardboard packages to sell to customers. The options are a rectangular prism, Box A, or a triangular prism, Box B.

Which box is made with less cardboard?

Box

We just started the introduction into circles and i have no idea how to do this.

What is the circumference of a circle with an area of 50.24 cm²?

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?