1. a computer system uses passwords that contain exactly eight characters, and each character is one of the 26 lowercase letters (a-z), or 26 uppercase letters (a-z) or 10 integers (0-9). let ω 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 ω are equally likely. determine the following probabilities: (a) p(a|b′) (b) p(a′ ∩b)

asdfghkl

step-by-step explanation:

asdfghkl

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²