# 12 00 Semester 2 Exam Part 2

### Question 51

1. What is the point of symmetry for the circle (x + 2)2 + (y – 4)2 = 25?
 (–2, 4) (2, –4) (–4, 2) (4, –2)

2 points

### Question 52

1. Where are the vertices of the following graph?

 (-9, 0) and (9, 0) ( , 0) and ( , 0) ( 0 ) and ( 0 ) (0, 2) and (0, -2)

2 points

### Question 53

1. What is the length of the major axis of the following graph?

 8 4 18 9

2 points

### Question 54

1. What are the foci of the following graph?

 (-7, 3) and (5, 3) (-1- , 3) and (-1 + , 3) (-1- , 3) and (-1 + , 3) (-8, 3) and (6, 3)

2 points

### Question 55

1. What is the equation of the ellipse with vertices (6, 0), (-6, 0) and co-vertices (0, 2), (0, -2)?

2 points

### Question 56

1. What is the equation of the ellipse with foci (0, 7), (0, -7) and vertices (0, 8), (0, -8)?

2 points

### Question 57

1. The ellipse
has symmetry only through the line x = -5.
 TRUE FALSE

2 points

### Question 58

1. What are the co-vertices of the following graph?

 (0, 1) and (0, -1) (1, 0) and (-1, 0) (0, 8) and (0, -8) (8, 0) and (-8, 0)

2 points

### Question 59

1. What is the equation of the following graph?

2 points

### Question 60

1. What is the center of the following graph?

 (1, -2) (4, -2) (-1, -2) (2, 0)

2 points

### Question 61

1. Writethe equation of a hyperbola with a center at (-5, -3), vertices at (-5,-5) and (-5, -1) and co-vertices at (-11, -3) and (1, -3).

2 points

### Question 62

1. Write the equation of a hyperbola with vertices (3, -1) and (3, -9) and co-vertices (-6. -5) and (12, -5).

2 points

### Question 63

1. The symmetry if the hyperbola
occurs at the lines x = 3 and y = -5.
 TRUE FALSE

2 points

### Question 64

1. What are the odds of picking an “m” in the word Mississippi?
 1:09 1:10 1:11 1:12

2 points

### Question 65

1. What is the probability of picking an “m” in the word Mississippi?

2 points

### Question 66

1. Experimental probability is based on performing trials.
 TRUE FALSE

2 points

### Question 67

1. What is the probability of rolling a number less than 5 on a six sided dice?

2 points

### Question 68

1. A bag contains 4 white marbles, 3 black marbles, and 5 red marbles. Find the probability of picking a red marble?

2 points

### Question 69

1. Josie had a choice of 3 breads, 4 choices of meat, and 4 choices of cheeses to make a sandwich.
How many different sandwiches can she make?
 24 36 48 60

2 points

### Question 70

1. Abag has 5 red marbles, 6 blue marbles and 4 black marbles. What is theprobability of picking a red marble, replacing it, and then pickinganother red marble?

2 points

### Question 71

1. Abag has 5 red marbles, 6 blue marbles and 4 black marbles. What is theprobability of picking a blue marble, replacing it, and then pickinganother blue marble?

2 points

### Question 72

1. Abag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What isthe probability that you pick a green marble, do not replace it, andpick a red marble?

2 points

### Question 73

1. Abag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What isthe probability that you pick a yellow marble, do not replace it, andpick another yellow marble?

2 points

### Question 74

1. In how many ways can a student arrange 6 textbooks on a locker shelf that can hold 4 books at a time?
 30 120 240 360

2 points

### Question 75

1. In how many ways can a music teacher arrange 24 students in 3 rows?
 12,144 9240 10,626 7980

2 points

### Question 76

1. Atest consists of 20 problems and students are told to answer any 10 ofthese questions. In how many different ways can they choose the 10questions?
 168,394 184,756 192,548 203,832

2 points

### Question 77

1. Apizza place offers 5 different cheeses and 10 different toppings. Inhow many ways can a pizza be made with 2 cheese and 4 toppings?
 2100 1800 1500 1200

2 points

### Question 78

1. Expand (2x – y)5.
 32×5 + 80x4y + 80x3y2 + 40xy2 + 10xy4 + y5 32×5 – 80x4y + 80x3y2 – 40x2y3 + 10xy4 – y5 32×5 – 80x4y – 80x3y2 – 40xy2 – 10xy4 – y5 32×5 – 80x4y + 80x3y2 – 40xy2 – 10xy4 + y5

2 points

### Question 79

1. Expand (2x – 3)5.
 32×5 – 240×4 + 720×3 – 1080n2 + 810n – 243 32×5 – 240×4 – 720×3 – 1080n2 – 810n – 243 32×5 + 240×4 + 720×3 + 1080n2 + 810n + 243 32×5 + 240×4 + 720×3 – 1080n2 – 810n + 243

2 points

### Question 80

1. What is the fourth term of (x + y)8?
 56x3y5 36x3y5 36x4y4 56x5y3

2 points

### Question 81

1. Find the mean of the following set of data. Round your answer to two decimal places.
48, 65, 57, 54, 61, 57, 52, 61, 57
 51.2 55.78 56.89 58

2 points

### Question 82

1. Find the mean of the following set of data. Round your answer to two decimal places.
48, 65, 57, 54, 61, 57, 52, 61, 57
 51.2 55.78 56.89 58

2 points

### Question 83

1. What is the standard deviation of the following data? If necessary, round your answer to two decimal places.
46, 53, 38, 67, 46, 57, 61, 42, 63, 55, 46
 8.45 8.87 9.12 9.3

2 points

### Question 84

1. What is the standard deviation of the following data? If necessary, round your answer to two decimal places.
13, 11, 4, 5, 6, 9, 10, 12, 15, 16
 3.91 6.27 4.52 5.78

2 points

### Question 85

1. What sampling method was used in the following scenario?
Fora survey being taken at the school, an alphabetized list of thestudents, by their last name, is taken and every fifth student isquestioned.
 Simple Random Sampling Systematic Sampling

2 points

### Question 86

1. The Greek letter sigma, σ, is use to represent what statistical quantity?
 mean standard deviation variance range

2 points

### Question 87

1. What percentage of the data falls outside 1 standard deviation of the mean?
 0% 1% 5% 32%

2 points

### Question 88

1. Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 450 point score?
 1.5 1 0.5 -0.5

2 points

### Question 89

1. Supposeyou did a survey of male shoes size and the mean of that survey wassize 10 with a standard deviation of 1.5. What is the z-score of a sizeof 12?
 1.33 1 0.67 0.33

2 points

### Question 90

1. The following sequence is arithmetic.
3, 1, 5, 2, 6, 4….
 TRUE FALSE

2 points

### Question 91

1. What is the d value of the following arithmetic sequence?
-16, -9, -2, 5, 12, 19….
 7 -7 -8 8

2 points

### Question 92

1. Find the 2nd term of an arithmetic sequence if t1 = 0 and t5 = 16?
 8 6 4 2

2 points

### Question 93

1. Find the 3rd term of an arithmetic sequence with t5 = 3 and t7 = 7.
 2 -1 -5 -3

2 points

### Question 94

1. Find S11 for 5 + 1 + (-3) + (-7) +…
 -165 -173 -187 -191

2 points

### Question 95

1. The following is a geometric sequence.

 TRUE FALSE

2 points

### Question 96

1. What is the r value of the following geometric sequence?
4, 7, 12.25, 21.4375 …
 1.25 1.5 1.75 1.825

2 points

### Question 97

1. Find the 6th term of a geometric sequence with t1=5 and r =

2 points

### Question 98

1. Find the 8th term in the geometric sequence with t4 = 48 and t6 = 192.
 768 192

2 points

### Question 99

1. Find S7 for the geometric series 2 + -6 + 18 + -54 +…
 162 -486 1094 -4374

2 points

### Question 100

1. Find the sum of the following infinite geometric series, if it exists.
4 + 3 + 2.25 + 1.6875 +…
 Does not exist 12 14 16

2 points

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