D128 Mathematics for Elementary Educators

D128 Mathematics for Elementary Educators 1. A tank can hold 3 gal. of water. The tank currently has 2.5 gal. of water inside. How many liters of water need to be added to fill the tank, given that 1 gal. equals 3.79 L? - ANSWER 1.895 L 2. How many hours in a week? - ANSWER 168 hours 3. An individual is paying $50 per day for a rental car. How much will it cost to rent that car for two weeks? - ANSWER $700 4. A car is traveling at 50 mph. How far will the car travel in 30 minutes? - ANSWER 25 miles 5. How many students want to take art based on the given diagram? - ANSWER 20 6. What type of graph is depicted? - ANSWER box and whisker plot 7. Find the mean of this data set:1, 3, 4, 9, 8, 5, 12 - ANSWER 6 8. A student in a statistics class scored an 80%, 85%, and 92% on the first three tests. What must the student score on the last test to have at least an 87% in the class? [ - ANSWER 91% 9. Given this data set:6, 2, 9, 0, 1, 5, 9, 4, 3, 2Which value could be added to the data set so that the median is 3? - ANSWER 0 10. Which of the following terms would best describe the given data distribution?{40, 50, 60, 60, 60, 70, 70, 70, 70, 70, 70, 80, 80, 80, 90, 100} - ANSWER symmetrical 11. Which of the following is a true statement based on the given histogram of black cherry tree heights? - ANSWER Black cherry trees have heights between 60 and 90 ft. 12. A student's average score after the first three quizzes is 88%. What does the student need to score on the fourth quiz to raise the average to 90%? - ANSWER 96% 13. A deck of playing cards has 52 total cards. There are four jacks and four aces. Assuming the jack is not replaced, what is the probability of drawing a jack and then an ace from the deck of cards? - ANSWER 4/663 14. A jar has 8 black marbles and 8 white marbles. Two marbles are drawn. Assuming the first marble is not replaced, what is the probability of drawing two black marbles? - ANSWER 7/30 15. In an experiment, each member of a population is replaced after it is picked.Which of the following terms best describes these events? - ANSWER Independent 16. There are 40 students in a summer cohort. Of those students, 20 are taking an accounting course, and 25 are taking a Spanish course. A total of eight students are taking both courses. How many students are not taking either course? - ANSWER 3 17. For a test in a math class, 60 students arrive and take out their supplies. Of those students, 22 bring pens, and 48 bring pencils. Only one student arrives without a pen or pencil. How many students brought both a pen and a pencil? - ANSWER 11 18. Suppose the probability of winning a game is 2/6. If you lose, you pay $1. If you win, another player pays you X dollars. If the game is to be fair, which of the following should be X? - ANSWER $2 19. A company makes bobblehead dolls. One out of every five is faulty, but the company does not know which dolls are faulty until a buyer complains. Suppose the company makes a $2.50 profit on the sale of any working doll, but suffers a $10 loss for every faulty one because they have to repair the doll.Which of the following is the company's expected profit or loss per doll in the long term? - ANSWER $0.00 20. Two triangles are drawn in the coordinate plane. The vertices of the first triangle are (5, 4), (−4, 6), (−8, 9). The vertices of the second triangle are (1, 6), (−8, 8), ( x, y). Find the value of x and y that allow these two triangles to be congruent. - ANSWER (−12, 11) 21. An octagon in the coordinate plane is transformed.Which of the following transformations would result in a similar figure? - ANSWER (-5x, -5y) 22. Which type of transformation are these figures an example of? - ANSWER Dilation 23. A circle has an area of approximately 615.75 in 2. What is the circumference of the circle? - ANSWER 87.96 inches 24. What is the area of this figure? - ANSWER 63 square units 25. A triangular window has an area of 600 in 2. The base of the window is three times its height. What is the length of the base of the window? - ANSWER 60 in. 26. A gardener has a rectangular garden with an area of 374 yd 2. The length of the garden is 17 yd. The gardener wants to enlarge the garden by doubling only the width of the current garden. How much fencing will the gardener need to enclose the new garden? - ANSWER 122 yd 27. A teacher is making a game of ring toss for her class. She starts by using a circle with a diameter of 10 in. and then cuts out a smaller circle with a diameter of 6 in., leaving a ring as shown in the given image. - ANSWER 50.27 sq. cm 28. What is the approximate capacity of a spherical water tank with a radius of 7 ft? - ANSWER 1,436 ft 3 29. A cylinder has a volume of 484π in. 3 and a height of 4 in. What is the radius of the cylinder? - ANSWER 6.21 inches 30. A cylinder has a volume of 600 in 3. Find the volume of a cone with the same radius and height as the cylinder. - ANSWER 200 cubic inches