Amarching band requires a tuba player to begin at the 50 yard line of a football field perpendicular to the 40 yard line. he then makes a 30 degree turn and marches at a diagonal back to the 50 yard line. once he reaches the 50 yard line he must march forward until; he reaches his original starting position. if the tuba player travels 18 invhes with each marching pace how many paces must he take to complete the routine?

Simplify 24÷(-2)(3)+7 a. -29 b. 3 c. 11

In 2009, there were 1570 bears in a wildlife refuge. in 2010, the population had increased to approximately 1884 bears. if this trend continues and the bear population is increasing exponentially, how many bears will there be in 2018?

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?