When an individual is exposed to radiation death may ensue. Factor affecting the outcome are the size of the doze, the length and intensity of exposure and the biological
makeup of the individual. The term LD50 is used to denote the dose that is usually lethal
for 50% of the individuals exposed to it. Assume that in a nuclear accident 30% of the
workers are exposed to the LD50 and die; 40% of the workers die; and 68% are exposed
to the LD50 or die. What is the probability that a randomly selected worker is exposed
to the LD50? Use a Venn diagram to find the probability that a randomly selected
worker is exposed to the LD50 but does not die. Find the probability that a randomly
selected worker is not exposed to LD50 but dies? What is the probability that a
randomly selected worker will die given that he is exposed to lethal dose of radiation?

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

Proportions in triangles solve for x