The US bureau of the census predicted that the population of Florida would be about 18.4 million in 2010 and then would increase by 0.35 million per year until 2015. Write a linear model that predicts the population, Y, of Florida (in millions) in terms of X, the number of years since 2010.

How many solutions does the nonlinear system of equations graphed below have?

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?

In triangle △abc, ∠abc=90°, bh is an altitude. find the missing lengths. ah=4 and hc=1, find bh.