He arena has come to an agreement with the Sleaford Rockers to pay them according to this formula: b = tp - (s + 2,000) 3 b is band payment t is ticket sales p is ticket price s is security cost How much will the Sleaford Rockers get paid if they sell 8,000 tickets at £12 each and the security cost is £4,000?

Which of the following equations is equivalent to x/3-6/x=1

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?

The blue segment below is a diameter of o. what is the length of the radius of the circle?