an open square box of volume 16000 cubic inches has a square base and 4 partitions inside that are parallel to two sides. Find the dimensions of the box for which the amount of material needed to construct the box is as small as possible. Show all your work.

Using the given statements, state whether the conditional statement is true or false. p: 2 + 2 = 4 q: 7 + 1 = 7 is p q true or false?

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?

Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte