Represent the sample space for each experiment by making an organized list, a table, and a tree diagram.

Tavya can spend the summer with her cousins or her grandparents at the lake or at the beach.

Find the volume of each sphere or hemisphere. Round to the nearest tenth,,

In a genetics experiment, the researcher mated two Drosophila fruit flies and observed the traits of 300 offspring. The results are shown in the table.

Normal Eye Color: Normal Wing Size 140 and Miniature Wing Size 6 Vermillion Eye Color: Normal Wing Size 3 and Miniature Wing Size 151

One of these off spring is randomly selected and observed by the two genetic traits. a. What is the probability that the fly has normal eye color and normal wing size? b. What is the probability that the fly has vermillion eyes? c. What is the probability that the fly has either vermillion eyes or miniature wings, or both?

A ball is randomly selected from the bowl containing three red and two yellow balls. Its color is noted, and the ball is returned to the bowl before a second ball is selected. List the additional five simple events that must be added to the sample space when the balls are randomly selected without replacement.

A bowl contains three red and two yellow balls. Two balls are randomly selected and their colors are recorded. Use a tree diagram to list the 20 simple events in the experiment, keeping in mind the order in which the balls are drawn.

Find the number of distinguishable permutation of the letters in the world. CLEVELAND

Determine whether the events are independent or dependent. Then find the probability.

From a bag of 5 red and 6 green marbles, a red marble is drawn and not replaced. Then a green marble is drawn.

Cory has an online store and auction site. Last year he sold 85% of his inventory.

The data relating the square feet of living space and the selling price of 12 residential properties given in Example 3.5 are reproduced here. First, find the best-fitting line that describes these data, and then plot the line and the data points on the same graph. Comment on the goodness of the fitted line in describing the selling price of a residential property as a linear function of the square feet of living area.

Residences, x (sq. ft.), y (in thousands) 1, 1360, $278.5 2, 1940, 375.7 3, 1750, 339.5 4, 1550, 329.8 5, 1790, 295.6 6, 1750, 310.3 7, 2230, 460.5 8, 1600, 305.2 9, 1450, 288.6 10, 1870, 365.7 11, 2210, 425.3 12, 1480, 268.8

Represent the sample space for each experiment by making an organized list, a table, and a tree diagram.

Michelle could take a summer job in California or Arizona at a hotel or a bed-and-breakfast.

Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability. Round to the nearest tenth of a percent if necessary.

Drawing a card from a standard deck and choosing a king or an ace

Explain how to find the scale factor of a dilation. How do you know whether a dilation is an enlargement or a reduction?

Determine whether the events are independent or dependent. Then find the probability.

In a game two dice are tossed and both roll a six.

The Table below shows the average amounts spent per week by men and women in each of the four spending categories: Men: A $54, B$27, C $105, D$22 Women: A $21, B$85, C $100, D$75 a. What possible graphical methods could you use to compare the spending patterns of women and men? b. Choose two different methods of graphing and display the data in graphical form. c. What can you say about the similarities or differences in the spending patterns for men and women? d. Which of the two methods used in part b provides a better descriptive graph?