A population of mosquitoes is growing in a pond. Suppose that the initial population (at day ) is 420 mosquitoes and the population doubles in size every 3 days. Assume that the mosquito population grows exponentially. a. Write a function to model the number of mosquitoes in the pond. b. How many mosquitoes will be in the pond after 20 days? Show algebraic work to support your answer. c. When are there 10,000 mosquitoes? Show algebraic work to support your answer.

The weight of full–grown tomatoes at a farm is modeled by a normal distribution with a standard deviation of 18.4 grams. the 95 percent confidence interval for the mean weight of the tomatoes is calculated using a sample of 100 tomatoes. what is the margin of error (half the width of the confidence interval)?

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

3women sell hats at a craft fair weekly. the money they make at the fair is split into categories. 9% goes to pay taxes. $55 goes to pay rent for the space they sell in. the rest is split between the women. if the group make $706 at the fair, how much does each women get paid once the money is divided