Acomputer system uses passwords that contain exactly eight characters, and each character is one of 26 lowercase letters (a-z) or 26 uppercase letters (a-z) or 10 integers (0-9). let x denote the set of all possible passwords, and let a and b denote the events that consist of passwords with only letters or only integers, respectively. suppose that all passwords in x are equally likely. determine the probability of each of the following: (a) a(b) b(c) a password contains at least 1 integer.(d) a password contains exactly 2 integers.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (-1+i)+(21+5i)+0

If you apply the changes below to the linear parent function f(x)=x what is the equation of the new function vertically stretched by a factor of 3 flip over the x axis