The midrange of a sample of SAT-Verbal scores whose smallest observation is 426 and largest observation is 740.
What is 583?
Find the first term of an arithmetic progression if the fifth term is 29 and d is 3.
What is 17?
Find the derivative of the function: y = 2x2 + 3x.
What is y' = 4x + 3?
Find the inverse of | 1 2| | 3 7|
What is | 7 -2|
| -3 1 | ?
Determine if the following argument is valid or not valid.
"If it is raining, then the streets are wet.
Either it is snowing, or the streets are not wet.
It is not snowing. Therefore, it is not raining."
What is valid (modus tollens)?
It is the probability of getting exactly a 7 on one throw of a pair of dice.
What is 1/6?
Find the primary angle that is coterminal with the angle of −743°?
What is 337°?
Integrate the expression:
∫ [2x /(x2 + 1)] dx.
What is ln(x2+1) + C?
Find the rank of matrix A where
|1 0 2 3|
A = |0 0 5 1|
|0 0 0 0|.
What is 2?
Determine the number of permutations of three elements taken from a set of four elements {a, b, c, d}.
What is 24?
A jar contains 3 red marbles, 4 blue marbles, and 5 orange marbles. One marble is randomly drawn from the jar. What is the probability that the marble is not orange?
7/12
Find (5 + 6i) − (9 − 4i).
What is -4 + 10i?
Find the slope of the following curve at the given point.
y = 3x2 − 2x + 4 at (1, 5)
What is 4?
Find A - B if A = ∣2 3 4∣ and B = ∣0 2 7∣
What is ∣2 1 -3∣ ?
Given the universal set U = {2,4,6,...,12}
Find the set S = {x ε U | x² − 5x + 6 =0}
What is S = {2}?
Determine the number of permutations of the letters in the word BANANA.
What is 60?
Find the center of the circle
x2 ― 4x + y2 + 8y – 5 = 0.
What is (2, -4)?
If z = 3x2 − 2y2 + 2xy, find [∂z/∂x].
What is 6x + 2y?
Find the determinant of the matrix below.
What is 9?
Compute u ∙ v where u = (2,−3,6) and v = (8,2,−3).
What is -8?
Suppose the earnings of a laborer, denoted by X, are given by the following probability function.
X 0 8 12 16
P(X) 0.3 0.2 0.3 0.2
Find the laborer's expected earnings.
What is 8.4?
Let f(x) = x - 1 and g(x) = x2 - 2.
Find (f o g)(1).
What is -2?
Find the derivative of:
y = tan 3θ.
What is y' = 3 sec2 (3θ).
Give the solution of the following matrix that is in reduced row echelon form.
x y z rhs
1 0 0 -2
0 1 0 4
0 0 1 7
What is x = -2, y = 4, z = 7; or (-2, 4, 7) ?
Jack and Jill agree to play a game. The game costs $1 to play. A card is drawn at a random from a standard deck of 52 cards. If the card is a spade, Jack pays Jill $85. If the card is anything else, Jill pays Jack $30. Find the expected value of the game for Jack.
What is $0.25?