Trigonometry, Statistics Probability, Advanced Math and Algebra Flashcards
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
mean and standard deviation
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 + b + c) 0.9 / 3
The plane rectangular coordinate system is divided into four parts which are known as ____________.
A. octants
B. quadrants
C. coordinates
D. axis
quadrants
An angular unit equivalent to 1/400 of the circumference of a circle is called
A. mil
B. degree
C. radian
D. grad
grad
An equation in the form a/b = c/d is
A. a ratio
B. a proportion
C. an equality
D. an inequality
a proportion
An equation in the form a/b is
A. a ratio
B. a proportion
C. an equality
D. an inequality
ratio
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
Least common multiple
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
g(x) = cx
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
F = a ⋅ y
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
G = ck / zC
Mclaurin series of cos x
1 - x²/2! + x⁴/4! - x⁶/6!
Mclaurin series of sin x
x - x³/3! + x⁵/5! - x⁷/7!
Mclaurin series of eˣ
1 + x + x²/2! + x³/3!
Mclaurin series of cosh x
1 + x²/2! + x⁴/4! + x⁶/6!
Mclaurin series of sinh x
x + x³/3! + x⁵/5! + x⁷/7!
Obtain L{t^n}
A. n! / s²(n-1)
B. n! / s^n
C. n! / s^(n+1)
D. (n+1)! / s^(n+1)
n! / s^(n+1)
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
even quarter