A carton measures 200 cm by 100 cm by 100 cm. The carton is to be completely filled with boxes.
Each box measures 50 cm by 20 cm by 20 cm.
Work out the number of boxes which can completely fill the carton.

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.

What is the solution set of the quadratic inequality x^2-5< or equal to 0