PLEASE HELP ME PLEASE
You are making cone-shaped hats for a drama production. The pattern calls for circles with a 20-inch diameter. You are to cut out a sector created by a 60° angle

1)What is the circumference, in inches, of the circular base of the conical hat? Round to the nearest tenth

2)You want to cover the top of the hat with fabric. What is the surface area, in square inches, that you will cover? (do NOT include the base of the cone!) Round to the nearest square inch

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

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?

Would greatly appreciate these 3 answers