Predict how many earthquakes of magnitude 5.0 and above will occur over a 5-day period from august 28th 12: 00am through september 1st 11: 59 pm utc (coordinated universal time). this is an exercise to test your geological data gathering and hypothesis formation. (you cannot predict exactly when and where an earthquake can occur, but you can estimate how many larger earthquakes will occur around the world over a period of time with a little bit of research on past earthquakes and some basic math skills)

Svetlana's hair is 4 4 centimeters ( cm cm) long. her hair grows 1 . 5 cm 1.5cm per month. svetlana wants her hair to be less than 1 6 cm 16cm long. write an inequality to determine the number of months, m m, svetlana can allow her hair to grow so that it is less than 1 6 cm 16cm long.

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?

Simplify the expression 8h - 57-3m by adding or subtracting the like term