Abroadway musical was attended by a total of 2,838 people, including men, women, and children. the number of women who attended the event was 5 more than 3 times the number of children, while the number of men was 3 less than 4 times the number of women. write an equation to model this situation. then, use the equation to find the number of men, women, and children who attended the musical.

If x is 6, then 7x= a. 13 b. 42 c. 42x d. 76

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b?