MATH 4 - Final Exam Review #5

Front

In how many ways can fourteen elementary school boys be arranged in a straight line if one particular boy is to be the ‘leader’ at the beginning of the line, and one particular boy is to be the ‘quiet-enforcer’ at the end of the line?

Back

479,001,600 ways

Front

What is the amplitude, period, phase shift, and vertical shift of the equation y = 3 cos (x + π ) + 1?

Back

Amplitude = 3, Period = 2π, Phase Shift = π, Vertical Shift = 1

Front

What is the middle term for the expansion of ( a + b )^6?

Back

20a^3b^3

Front

A bag contains eight red marbles and four blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. What is the probability that the first marble is red and the second marble is blue?

Back

8/33

Front

Convert -325° to radians.

Back

-65π/36

Front

Convert 60° to radians.

Back

1π/3

Front

Convert 4π/9 to degrees.

Back

80°

Front

Convert -15π to degrees.

Back

-2700°

Front

What is the formula for the number of permutations of n objects taken r at a time?

Back

n! / (n - r)! (where n is the total number of objects and r is the number of objects to arrange)

Front

What is the formula for the binomial expansion of (a + b)^n?

Back

(n choose k) * a^(n-k) * b^k for k = 0 to n.