What is the height of the beach umbrella? using your knowledge of sine, cosine, and tangent.

1. are the triangles similar and if so why? what is the value of x? show your work.

Olga used 100 ounces of flour to make 225 muffins. how many ounces of flour will be used to make 300 muffins?

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?