Exam 3 Past Paper 202470 PDF

Exam 3 202470 MAT109B NAME: _____________________________________________ DATE: ________________ Complete all questions on the paper provided. Number the problems and show all of your work, cross off errors if ne...

Exam 3 202470 MAT109B NAME: _____________________________________________ DATE: ________________ Complete all questions on the paper provided. Number the problems and show all of your work, cross off errors if needed; do not erase! Include explanations and units for all problems. Box final answers. Only the answer to #5 should be on this sheet. 1. Can you construct a triangle from line segments with the given lengths? Why or why not? a. 72cm, 60cm, 145cm b. 42m, 58m, 96m 2. The Venn diagram represents events A and B for a sample space S with equally likely outcomes. S = 20 a. What is the probability that event A will occur? b. What is the probability that event B will occur? c. What is the probability that event A will occur, given that B has? d. What is the probability that event B will occur, given that A has? e. What is the probability that event B will occur, given that A has not? f. What is the probability that event “A and B” will occur? g. What is the probability that event “A or B” will occur? 3. A teacher showed her class a cone, a pyramid and a prism. She asked students to identify the solid that did NOT belong. a. Juan said the cone does not belong; explain how he could be correct. b. Heaven said the prism does not belong; explain how she could be correct. 4. Sketch and label LMN given that LM = 4 mm, MN = 8 mm and NL = 7mm. a. What angle is the largest? How do you know? b. What kind of triangle is it? Show work to support your answer. 5. List the precision and GPE of each (you may do this one on this page). P= GPE = P= GPE = P= GPE = Exam 3 202470 MAT109B 6. A group of friends hired a limo for New Year's Eve. They paid an initial fee plus an additional charge for each hour. The graph shows the total cost C, in dollars, for h hours. a. What does the ordered pair (5, 400) mean? b. How many hours did they have the limo if the cost was $475? c. What is the initial fee? 2 2 7. Convert 18𝑐𝑚 to 𝑖𝑛. Round to the hundredths place. 8. Answer the following questions about a square pyramid a. How many faces does it have? b. How many edges does it have? c. How many vertices does it have? 9. A regular hexagon has an apothem of 8.7cm and a perimeter of 60cm. (round to tenths place) a. What is the area? b. What is the radius? 10. How are angles 1 and 2 related? 11. A data set has the following 5 number summary: min: 10, Q1: 26, Q2: 34, Q3: 44, max: 47. Provide a number that would be an outlier, show work to support your answer. 12. Are the upper 50% of the data more spread apart than the lower 50% of the data? Explain how you can tell. 13. A box contains 8 blue marbles, 5 red marbles and two green marbles. You draw two marbles randomly, without replacement, one at a time. What is the probability that none of the marbles are green? 14. Solve the system of equations using any method. 𝑦 = − 3𝑥 + 7 𝑦 = 5𝑥 − 9