act-dog

In the Venn diagram below, circles S , C , and P represent farms raising sheep, cows, and pigs, respectively. How many of the 47 farms represented in the diagram do not raise cows? S C 12 10 2 4 P

The whole numbers 1 through 30 were each written on separate pieces of paper. Those 30 pieces of paper were put into a jar. One piece of paper will be randomly drawn from this jar. What is the probability that this piece of paper will have a prime number written on it? _ 1

On a trip, 2 sisters counted 1,430 vehicles. They divided the vehicles into categories: cars, trucks, and other. They noted the color of each as white, black, red, or other, as shown in the table. What is the probability that a randomly selected truck is black? White Black Red Other Total Car 118 62 97 197 474 Truck 100 31 116 232 479 Other 86 85 94 212 477 Total 304 178 307 641 1,430 _31

During a particular experiment, 2 events, A and B, can each occur. Events A and B are mutually exclusive during this experiment. Which of the following probabilities is 0 ?

A tourism organization randomly selected 100 tourists finishing their summer visit to Spain. The organization asked them how many cities they had toured in the country. The table shows the results. Based on these data, for the population of tourists that visited Spain during the summer, what is the best estimate of the mean number of cities toured? Number of cities 1 2 3 Number of tourists 10 40 50

Each time Coin C is tossed, it lands faceup or facedown. The probability of landing faceup is 3 times the probability of landing facedown. In a certain game, the player wins $1.00 when Coin C lands faceup and the player wins $2.00 when Coin C lands facedown. To the nearest cent, what is the expected value of each toss of Coin C in this game?

At a college track meet, there are 3 jumping events: high jump, long jump, and triple jump. The Venn diagram below shows the distribution of the number of athletes competing in each jumping event. How many athletes are competing in both high jump and triple jump but not long jump? high jump long jump 5 9 7 3 6 triple jump

A restaurant surveyed its customers to determine whether or not they like hamburgers and whether or not they like turkey burgers. The table shows the results of the survey. Like Do not like hamburgers hamburgers Total Like turkey 97 39 136 burgers Do not like 98 78 176 turkey burgers Total 195 117 312 To the nearest 1% , what percent of the customers who responded to the survey like hamburgers?

Jeremy reaches into a box in the closet. The box contains 10 gloves that make up 5 matching pairs. He picks 1 glove at random and puts it on. Then he picks another glove at random. What is the probability that he has picked a matching pair? _1

Cameron’s bookshelf has 3 books with a rating of 10 , 5 books with a rating of 100 , and 2 books with a rating of 70 . There are no other books on the bookshelf. What is the expected value, to the nearest whole number, of the rating of a book randomly selected from Cameron’s bookshelf?

Deon often flies his kite. He can only fly his kite on days with wind. He does not fly his kite on every day with wind. For any given day, let Event A be that there is wind and let Event B be that Deon flies his kite. Which of the following values can P (A and B) be?