12 00 Semester 2 Exam Part 2

Question Description

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?

    ellipse through the points (9, 0), (0, 2), (negative 9, 0) and (0, negative 2)

    (-9, 0) and (9, 0)
    ( negative square root of 77 , 0) and ( square root of 77 , 0)
    ( 0 negative square root of 77 ) and ( 0 square root of 77 )
    (0, 2) and (0, -2)

2 points

Question 53

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

    ellipse through the points (8, 3), (negative 1, 5), (negative 10, 3) and (negative 1, 1)

    8
    4
    18
    9

2 points

Question 54

  1. What are the foci of the following graph?

    ellipse through the points (8, 3), (negative 1, 5), (negative 10, 3) and (negative 1, 1)

    (-7, 3) and (5, 3)
    (-1- square root of 77 , 3) and (-1 + square root of 77 , 3)
    (-1- square root of 85 , 3) and (-1 + square root of 85 , 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)?
    x squared divided by 36 minus y squared divided by 4 equals 1
    x squared divided by 36 plus y squared divided by 4 equals 1
    x squared divided by 4 minus y squared divided by 36 equals 1

2 points

Question 56

  1. What is the equation of the ellipse with foci (0, 7), (0, -7) and vertices (0, 8), (0, -8)?
    x squared divided by 15 minus y squared divided by 64 equals 1
    x squared divided by 16 plus y squared divided by 64 equals 1
    x squared divided by 15 plus y squared divided by 64 equals 1
    x squared divided by 49 minus y squared divided by 64 equals 1

2 points

Question 57

  1. The ellipse x plus 5 quantity squared divided by 25 plus y minus 2 quantity squared divided by 16 equals 1 data-verified=
    has symmetry only through the line x = -5.
    TRUE
    FALSE

2 points

Question 58

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

    hyperbola with center at (0, 0), opening right and left, vertical axis has length 16 and horizontal axis has length 2

    (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?

    hyperbola with center at (1, negative 2), opening left and right, vertical axis has length 8 and horizontal axis has length 6

    x plus 1 quantity squared divided by 9 minus y minus 2 quantity square divided by 16 equals 1
    x minus 1 quantity squared divided by 9 minus y plus 2 quantity square divided by 16 equals 1
    y plus 2 quantity square divided by 16 minus x minus 1 quantity squared divided by 9 equals 1
    y minus 2 quantity square divided by 16 minus x plus 1 quantity squared divided by 9 equals 1

2 points

Question 60

  1. What is the center of the following graph?

    hyperbola with center at (1, negative 2), opening left and right, vertical axis has length 8 and horizontal axis has length 6

    (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).
    y minus 3 quantity squared divided by 4 minus x minus 5 quantity squared divided by 36 equals 1
    y plus 3 quantity squared divided by 4 minus x plus 5 quantity squared divided by 36 equals 1
    y plus 3 quantity squared divided by 2 minus x plus 5 quantity squared divided by 6 equals 1
    x plus 5 quantity squared divided by 36 minus y plus 3 quantity squared divided by 4 equals 1

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).
    y plus 5 quantity squared divided by 16 minus x minus 3 quantity squared divided by 81 equals 1
    y minus 5 quantity squared divided by 16 minus x plus 3 quantity squared divided by 81 equals 1
    x minus 3 quantity squared divided by 81 minus y plus 5 quantity squared divided by 16 equals 1
    x plus 3 quantity squared divided by 81 minus y minus 5 quantity squared divided by 16 equals 1

2 points

Question 63

  1. The symmetry if the hyperbola x minus 3 quantity squared divided by 81 minus y plus 5 quantity squared divided by 16 equals 1 data-verified=
    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?
    one-tenth
    one-eleventh
    one-twelfth
    one-thirteenth

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?
    two-thirds
    five-sixths
    one-sixth
    one-half

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?
    five-sevenths
    one-half
    five-twelfths
    one-fourth

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?
    four-forty-fifths
    eight-seventy-fifths
    one-fifteenth
    one-ninth

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?
    one-fifteenth
    eight-seventy-fifths
    four-twenty-fifths
    one-ninth

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?
    two-fifteenths
    one-fifteenth
    one-ninth
    three-tenths

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?
    two-fifteenths
    one-fifteenth
    one-ninth
    three-tenths

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.
    3, 4, sixteen-thirds, sixty-four-ninths
    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 = negative one-half
    negative five-eighths
    negative five-sixteenths
    negative five thirty-seconds
    negative five-sixty-fourths

2 points

Question 98

  1. Find the 8th term in the geometric sequence with t4 = 48 and t6 = 192.
    plus or minus 1 thousand 5 hundred 36
    768
    plus or minus 3 hundred 84
    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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