math

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a 1 b 4 c 1 d 2 e 4 f 1 VIII 35.68 25.68 31.44 30.76 21.66 24.78 38.76 27.93 29.85 MEDIAN: 30.305 VARIANCE: 22.61857879 MEAN: 30.13166667 STANDARD DEVIATION: 4.755899367 MODE: #N/A VII GRADE EQUIVALENT GRADE 0.00% 59.99% 5 60.00% 64.44% 3 64.45% 68.89% 2.75 68.90% 73.34% 2.5 73.35% 77.79% 2.25 77.80% 82.24% 2 82.25% 86.69% 1.75 86.70% 91.14% 1.5 91.15% 95.59% 1.25 95.60% 100% 1 STUDENT # 1 64.444 STUDENT # 2 94.567 STUDENT # 3 55.383 STUDENT # 4 99.013 STUDENT # 5 76.857 III MATRIX # 1 1 4 2 4

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a 1

b 4

c 1

d 2

e 4

f 1

VIII 35.68 25.68 31.44

30.76 21.66 24.78

38.76 27.93 29.85

MEDIAN: 30.305

VARIANCE: 22.61857879

MEAN: 30.13166667

STANDARD DEVIATION: 4.755899367

MODE: #N/A

VII GRADE EQUIVALENT GRADE

0.00% 59.99% 5

60.00% 64.44% 3

64.45% 68.89% 2.75

68.90% 73.34% 2.5

73.35% 77.79% 2.25

77.80% 82.24% 2

82.25% 86.69% 1.75

86.70% 91.14% 1.5

91.15% 95.59% 1.25

95.60% 100% 1

STUDENT # 1 64.444

STUDENT # 2 94.567

STUDENT # 3 55.383

STUDENT # 4 99.013

STUDENT # 5 76.857

III MATRIX # 1 1 4

2 4

1 1

DETERMINANT: -15

INVERSE: -1

ADJOINT: 15

MATRIX # 2 4 2

2 4

2 2

DETERMINANT: -8

INVERSE: -0.25

ADJOINT: 2

MATRIX # 3 1 16

4 16

1 4

1 4

DETERMINANT: 0

INVERSE: #NUM!

ADJOINT: #NUM!

MATRIX # 4 0 1

4 1

1 0

2 4

4 1

DETERMINANT: 82

INVERSE: -0.402439024

ADJOINT: -33

I #1

#2

#3

cos−1(𝑎𝑏𝑐 + 𝑑𝑒𝑓)

(𝑎 + 𝑏 + 𝑐 + 𝑑)

csch(𝑎𝑏

𝑓)(𝜋 + 𝑑)

𝑎3𝑏2 + 𝑐𝑑2 + 𝑓

𝑒(𝑓2 + 𝑑𝑐)

3

#4

VI 1

2

3

4

5

𝑒(𝑓2 + 𝑑𝑐)

𝑒𝑎𝑏𝑐ln(3𝑏 + 𝑐 + 1)

𝑑𝑒+7𝑐𝑓

29.52

31.73

33.79

1

1

4

4

1

1

1 4

4 8

1 2

2 1

4 1 2

0 2 4

2 4 1

1 1 0

0 1 4

ANSWER: 1.544613397

ANSWER: 2.726958567

ANSWER: 1.205071132

ANSWER: 0.070355297

SUMMARY OF ANSWERS

I 1 1.544613397

2 2.726958567

3 1.205071132

4 0.070355297

II 1

2

3

III 1 DETERMINANT -15

INVERSE -1

JOINT 15

2 DETERMINANT -8

INVERSE -0.25

JOINT 2

3 DETERMINANT 0

INVERSE N/A

JOINT N/A

4 DETERMINANT 82

INVERSE -0.402439024

JOINT -33

IV