Please answer each question with options A, B, C, or D:

\f2. The lifespan of a car battery is normally distributed with p = 5 years and a = 1 .2 years. What is the probability that a new battery will last between 3' and 8 years? 3. The hyperbola centered at the origin with vertices (0, 9) and (0, -9) and a conjugate axis 16 units long is represented by which equation? O 64 81 = 1 O 81 64 =1 21 64 = 1 O 64 81 =14. Which conic section is represented by the equation 92 + 4y? = 36. O Parabola O Circle O Ellipse Hyperbola5. There are 12 people that have entered a gaming tournament with prizes for 1st place, 2nd place, and 3rd place. How many combinations of winners can there be? O 1728 360 O 220 13206. A car manufacturer claims that the average top speed of its newest cars is 145 mph. A sample of 87 cars showed that their average top speed was 150 mph, with a sample standard deviation of 19 mph. Test this hypothesis using a 1% significance level. Fail to reject the null hypothesis. There is not enough evidence to oppose the car manufacturer's claim. Reject the null hypothesis. There is enough evidence to oppose the car manufacturer's claim. Reject the null hypothesis. There is not enough evidence to oppose the car manufacturer's claim. Fail to reject the null hypothesis. There is enough evidence to oppose the car manufacturer's claim.7. A standard deck of cards contains 52 cards. There are four suits, (diamonds, spades, clubs, hearts), with 13 cards per suit. Given that a card chosen out of a standard deck is a diamond, what is the probability that it is a face card (king, queen, or jack)? O O O\f9. What does the expected value measure in a probability distribution? B i U Font Family - AA A E11. An angle of measure 150 intersects the unit circle at point ( - VS. 2 1 7 ). What is the exact value of sin(150 )? O Va 2 O O 1/3 O12. Which is a discrete random variable? Y = "the time it takes to finish this exam" O X = "the exact number of inches it rained last summer" OZ = "the weight of newborn African elephants" O W = "number of thorns on a cactus"13. What is the center of (12.8, 5.7, 7.9, 1.3, 3.2, 2.8)? O 11.55 O 4.22 O 5.62 O 4.4514. What are the first five terms in the recursive sequence defined by = 3 = an 2 . an-1? O (2, 3, 6, 18, 108} (2, 3, 5, 8, 13) (2, 3, 15, 45, 675) (2, 3, -1, -4, -5}15. Which equation represents a circle with center (1, -3) and radius of 16 units? O (x+1)2 + (y-3)2 = 256 O (x-1)2 + (y-3)2 = 4 O (x+1)2 + (y+3)2 = 16 O (x-1)2 + (y+3)2 = 25616. There are 200 raffle tickets in a box. There are four 1st prize tickets, eight 2nd prize tickets, and sixteen 3rd prize tickets. When one ticket is selected, what is the probability of it being a 1st prize, 2nd prize, or 3rd prize ticket? 0.14 0.16 O 0.04 0.08\f18. Given a circle with a diameter with endpoints (2, 1) and (2, -3), explain how the midpoint formula can be used to locate the center of the circle. B i U Font Family - AA A C19. The terminal side of angle 0 intersects the unit circle at point (-0.970, -0.242). What is the value of tan(0)? -0.970 O 4.008 0.249 O -0.24271 77. 20. Explain how to expand (a + b)' using the binomial theorem expression, a -kb* Be specific. K K=0 B i U Font Family - AA A E IE\f22. Triangle ABC has side lengths b = 13.5 and c = 8.9. Angle A has a measure of 29*. What is the length of side a? O 7.2 6.0 O 10.1 14.923. Which of the following sets of angle measures is equivalent to cos 1 (-v3 )? O 240', 300* O 120", 240" O 150*, 210" O 210', 330*24. Find the sum, if it exists, of the infinite geometric series related to the infinite geometric sequence described by an = 64()" 17-1 O S = 150.2 This infinite geometric series is divergent. O S = 256.1 O S = 85.325. Lacey is standing on top at one of the tallest buildings in her lawn. She stands at the edge of the mat and drops a basketball. The ball falls 120 feet to the pavement below and begins bouncing. Each successive bounce is 20% shorter than the previous bounce. which explicll formula describes this situation? 0 an = 12o{80)\"" O a.\" : 20mm)"1 0 a... = 120(o.80)"'1 O a.\" = 120(o.2o)"'1 26. Explain how the equation of an ellipse is related to the equation of a circle? B i U Font Family - AA* A IE27. Which is (are) the initial condition(s) for the Fibonacci sequence? OFo = 0, F1 =1 F1= 0 O Fo = 1 Fo= 1, A =127. Which is (are) the initial condition(s) for the Fibonacci sequence? OFo = 0, F1 =1 O F1=0 OFo = 1 O Fo = 1, A =128. Jiya is renting a truck to move into her college dorm. The rental company charges $55 for the first hour and then $10 per hour after that. If it will take Jiya 7 hours to move, which explicit formula describes how much it will cost her to rent the truck? a7 = 55 + (7 -1)10 a7 = 55 + (7 + 1)10 a7 = 10 + (7 - 1)55 a7 = 10 + (7-1)729. Given the following relative-frequency table for the probability distribution of X, what are the expected value () and the standard deviation ()? x P(X = x) 2.36 4.08 6.54 8.02 OH = 4.44, 0 = 1.93 OH = 2.22, 0 = 1.93 OH = 2.22, 0 = 3.73 OH = 4.44, 0 = 3.7330. Where are most of the data gathered in a negatively skewed distribution? Which value is larger, the mean or the median? i U Font Family - AA A