Trigonometry, Statistics Probability, Advanced Math and Algebra Flashcards

1
Q

During an examination, the following scores are collected: 0 8 9 11 12 13 18 18 20. If there was an error in encoding where one “18” should be “16”, which of the following is affected?
A. median
B. standard deviation
C. mean
D. mean and standard deviation

A

mean and standard deviation

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2
Q

If a school buys three computers a, b, and c pesos each, gets a discount of 90%, which expression would determine the average price paid by the school?
A. (a + b + c) 0.9 / 3
B. (a + b + c) / 3
C. (a + b + c) / 0.9
D. (a + b + c) 0.9

A

(a + b + c) 0.9 / 3

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3
Q

The plane rectangular coordinate system is divided into four parts which are known as ____________.
A. octants
B. quadrants
C. coordinates
D. axis

A

quadrants

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4
Q

An angular unit equivalent to 1/400 of the circumference of a circle is called
A. mil
B. degree
C. radian
D. grad

A

grad

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5
Q

An equation in the form a/b = c/d is
A. a ratio
B. a proportion
C. an equality
D. an inequality

A

a proportion

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6
Q

An equation in the form a/b is
A. a ratio
B. a proportion
C. an equality
D. an inequality

A

ratio

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7
Q

The smallest natural number for which two natural numbers are factors.
A. Least common denominator
B. Least common Divisor
C. Least common factor
D. Least common multiple

A

Least common multiple

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8
Q

Listed below are functions each denoted g(x) and each involving a real number x, constant c > 1. If f(x) = 2x, which of these functions yield the greatest value for f(g(x)), for all x > 1?
A. g(x) = cx
B. g(x) = c/x
C. g(x) = c - x
D. g(x) = x/c

A

g(x) = cx

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9
Q

Determine the equation that expresses the statement: F is directly proportional to y symbols a, b, c and d are constants.
A. F = a
B. F = a ⋅ y
C. F = b
D. F = cy^3 + a

A

F = a ⋅ y

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10
Q

Determine the equation that expresses that G is proportional to k and inversely proportional to C and z. Symbols a, b and c are constants.
A. G = ck / zC
B. G = bc / zk
C. G = a / bc
D. G = ck / GG

A

G = ck / zC

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11
Q

Mclaurin series of cos x

A

1 - x²/2! + x⁴/4! - x⁶/6!

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12
Q

Mclaurin series of sin x

A

x - x³/3! + x⁵/5! - x⁷/7!

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13
Q

Mclaurin series of eˣ

A

1 + x + x²/2! + x³/3!

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14
Q

Mclaurin series of cosh x

A

1 + x²/2! + x⁴/4! + x⁶/6!

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15
Q

Mclaurin series of sinh x

A

x + x³/3! + x⁵/5! + x⁷/7!

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16
Q

Obtain L{t^n}
A. n! / s²(n-1)
B. n! / s^n
C. n! / s^(n+1)
D. (n+1)! / s^(n+1)

A

n! / s^(n+1)

17
Q

A periodic function has zero average value over a cycle and its Fourier series consists of only odd cosine terms. What is the symmetry possessed by this function?
A. even
B. odd
C. even quarter
D. odd quarter

A

even quarter