Acompany designed and sells an ultrasonic receiver, which detects sounds unable to be heard by human ear. the receiver can detect mechanical and electrical sounds such as leaking gases, air, corona, and motor friction noises. it can also hear bats, insects, and even beading water. the receiver is 21 in deep. the focus is 7 in from the vertex. find the diameter of the outside edge of the receiver.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?

The ideal weight of a nickel is 0.176 ounce. to check that there are 40 nickels in a roll, a bank weighs the roll and allows for an error of 0.015 ounce in total weight