Mrs. sparks is a 9th grade algebra 1 teacher. she teaches three algebra 1 courses and all the classes recently took a chapter exam. below are the scores.

class 1 45 68 77 90 90 95 100 100 86 90 50 55
class 2 64 65 70 40 100 87 84 88 90 90 95 80
class 3 70 75 75 90 100 80 55 65 76 80 88 99

a. find the mean, median, mode and range of class 1.
b. find the mean, median, mode and range of class 2.
c. find the mean, median, mode and range of class 3.
d. find the standard deviation of class 1.
e. find the standard deviation of class 2.
f. find the standard deviation of class 3.
g. which class had a higher standard deviation and what does that mean?
h. in your opinion, which class did better on the exam? explain your answer.

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle

The four students in the table below each recorded the time and distance traveled while exercising. exercising distance (miles) time (minutes) gia 2 30 harris 5 50 ian 3 40 jackson 4 80 which list ranks the students from fastest walker to slowest walker? jackson, gia, ian, harris harris, jackson, ian, gia harris, ian, gia, jackson jackson, harris, ian, gia

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?