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.

What is the solution to the inequality? 6x−5> −29, a x> −4 bx> 4 cx< 4 dx< −4

Four individuals pool money together to start a new business and agree to split the profits equally. n invests $6,000, x invests $2,000, y invests $8,000 and z invests $4,000. if the profits for the first month were $100,000, y receives than if the profits were divided in proportion to how much they invested.

Question 3 (essay worth 10 points) (03.06 mc) part a: max rented a motorbike at $465 for 5 days. if he rents the same motorbike for a week, he has to pay a total rent of $625. write an equation in the standard form to represent the total rent (y) that max has to pay for renting the motorbike for x days. (4 points) part b: write the equation obtained in part a using function notation. (2 points) part c: describe the steps to graph the equation obtained above on the coordinate axes. mention the labels on the axes and the intervals. (4 points)