A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. What is the probability that
the lock code consists of all even digits?
To find the total number of outcomes for this event, find the permutation of things taken 4 at a time.
The total number of outcomes is
The total number of favorable outcomes is a permutation of things taken 4 at a time.
The probability that the lock code consists of all even digits is out of 3,024.

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

Witch represents the inverse of the function f(x)=1/4x-12

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.