How many ways are there to pick a sequence of two different letters of the alphabet that appear in the word SIMULTANEOUS?

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?

If a company produces x units of an item at a cost of $35 apiece the function c=35x is a of the total production costs

Astraight water slide is 175 feet above ground and is 200 feet long. what is the angle of depression to the bottom of the slide?