66. An equation of an ellipse is 9 ( x + 9 ) 2 + 4 ( y + 4 ) 2 = 36 . 9 open x plus 9 , close squared , plus 4 open y plus 4 , close squared , equals 36 . What is the y-coordinate of the center of the ellipse?
    6. − 9 negative 9
    7. − 4 negative 4
    8. 4
    9. 9

67. What is the determinant of the matrix?

    [ 1 3 − 1 1 2 1 − 2 − 5 − 4 ] . matrix with 3 rows and 3 columns , row1 column 1 , 1 , column 2 3 , column 3 negative 1 , row2 column 1 , 1 , column 2 2 , column 3 1 , row3 column 1 , negative 2 , column 2 negative 5 , column 3 negative 4 , end matrix

    1. − 8 negative 8
    2. − 4 negative 4
    3. 0
    4. 4
68. Write the expression as a single logarithm. 4 log 3 x + log 3 y − 2 log 3 z 4 , log base 3 , x plus , log base 3 , y minus 2 , log base 3 , z
    1. log 3 x 4 y z 2 log base 3 . fraction x to the fourth , y , over z squared end fraction
    2. log 3 x 4 y log 3 z 2 fraction log base 3 . x to the fourth , y , over log base 3 . z squared end fraction
    3. log 3 ( 4 x + y − 2 z ) log base 3 , open 4 x plus y minus 2 z close
    4. log 3 ( x 4 + y − 2 z ) log base 3 , open , x to the fourth , plus y minus 2 z close

69. A computer manufacturing company sampled two different parts and tested for defects. The results are shown in the table below.

    	Part A	Part B
    Defective	14	33
    Not defective	266	312

    What is the probability that if a Part B is randomly chosen, it is defective?

    6. 5.28%
    7. 5.71%
    8. 9.57%
    9. 10.58%

70. The graph of the hyperbola ( x − 2 ) 2 25 − ( y − 3 ) 2 9 = 1 fraction open , x minus 2 , close squared , over 25 end fraction . minus . fraction open , y minus 3 , close squared , over 9 end fraction . equals 1 is shown below. How does the graph of ( x − 2 ) 2 9 − ( y − 3 ) 2 25 = 1 fraction open , x minus 2 , close squared , over 9 end fraction . minus . fraction open , y minus 3 , close squared , over 25 end fraction . equals 1 differ from this graph?

    

    1. The asymptotes are less steep.
    2. The foci become ( − 2 , 3 ) open negative 2 comma 3 close and (5, 3)
    3. The vertices become ( − 2 , 3 ) open negative 2 comma 3 close and (5, 3)
    4. The transverse axis becomes vertical.

71. Which of the following numbers is an outlier for the given data set?

    3, 7, 19, 2, 6, 8, 5, 8

    6. 6.5
    7. 8
    8. 16
    9. 19
72. What is 64 ° 64 degrees in radians? Round your answer to the nearest hundredth.
    1. 1.12
    2. 5.63
    3. 10.19
    4. 402.12
73. Which is the best indicator of the accuracy of a line of best fit?
    1. The y-intercept of the line of best fit
    2. The number of points below the line of best fit
    3. The absolute value of the slope of the line of best fit
    4. The correlation coefficient for the line of best fit
74. A fair coin is tossed 4 times. What is the probability that it lands heads up at least 3 times?
    6. 18.75%
    7. 25%
    8. 31.25%
    9. 75%
75. An employee's initial salary is $30,000. The person receives a 5% raise at the end of each year. What is the formula for the term s n s sub n which represents the salary at the beginning of the nth year?
    1. s n = 30 , 000 + 1 . 05 n s sub n , equals 30 comma 000 plus 1 . 05 n
    2. s n = 30 , 000 + 5 ( n − 1 ) s sub n , equals 30 comma 000 plus 5 open n minus 1 close
    3. s n = 30 , 000 ( 1 . 05 ) n − 1 s sub n , equals 30 comma 000 open 1 . 05 close super n minus , 1 end super
    4. s n = 30 , 000 ( 1 . 05 ) n s sub n , equals 30 comma 000 open 1 . 05 close to the n
76. Use the Change of Base Formula to approximate the value of log 2 3.2 log base 2 , 3.2 to the nearest tenth.
    6. 0.2
    7. 0.8
    8. 1.7
    9. 9.2
77. If B = [ − 2 1 4 − 1 ] b equals . left bracket . table with 2 rows and 2 columns , row1 column 1 , negative 2 , column 2 1 , row2 column 1 , 4 , column 2 negative 1 , end table . right bracket what is B − 1 ? b super negative 1 end super , question mark
    1. [ − 0.5 1 0.25 − 1 ] left bracket . table with 2 rows and 2 columns , row1 column 1 , negative 0.5 , column 2 1 , row2 column 1 , 0.25 , column 2 negative 1 , end table . right bracket
    2. [ 0.5 0.5 2 1 ] left bracket . table with 2 rows and 2 columns , row1 column 1 , 0.5 , column 2 0.5 , row2 column 1 , 2 , column 2 1 , end table . right bracket
    3. [ 2 − 1 − 4 1 ] left bracket . table with 2 rows and 2 columns , row1 column 1 , 2 , column 2 negative 1 , row2 column 1 , negative 4 , column 2 1 , end table . right bracket
    4. [ 4 − 1 − 2 1 ] left bracket . table with 2 rows and 2 columns , row1 column 1 , 4 , column 2 negative 1 , row2 column 1 , negative 2 , column 2 1 , end table . right bracket
78. A multiple choice test has 8 questions with 4 options per question. What is the probability of getting exactly 3 answers correct by guessing?
    1. 0.00371
    2. 0.20764
    3. 0.21875
    4. 0.37500

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