Scarlet has a box with 16 black pens and 8 red pens. The probability that a pen randomly picked from the box is a red pen is . Scarlet uses a six-sided die to find the probability that each color of pen is picked. She assigns the numbers 1 and 4 on the die for red pens, and assigns 2, 3, 5, and 6 for black pens. Using this simulation, the probability of picking a red pen is
, and the simulation used is
.

Statement: if two points are given, then exactly one line can be drawn through those two points. which geometry term does the statement represent? defined term postulate theorem undefined term

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).

Write the standard form of an equation with (see picture below)