MATHalinoEngineering Math ReviewProblems
A compound curve has the following characteristics:
| I1 = 24° | D1 = 6° |
| I2 = 36° | D2 = 4° |
| Stationing of P.C. = km 10 + 420 | |
Compute the stationing of P.C.C.
| A. km 10 + 560 | C. km 10 + 520 |
| B. km 10 + 540 | D. km 10 + 500 |
Problem
The sum of the first n terms of a series is 3^(2n - 1) + b. What is the quotient of the 9th and the 7th term?
| A. 81 | C. 83 |
| B. 82 | D. 84 |
Problem
Compute the value of b if A and B are orthogonal.
$${\bf A} = 2{\bf i} + b{\bf j} + {\bf k}$$
$${\bf B} = 4{\bf i} - 2{\bf j} - 2{\bf k}$$
| A. 6 | C. 4 |
| B. 5 | D. 3 |
Problem
A job posted at jobstreet.com offered a starting salary of \$40,000 per year and guaranteeing a raise of \$1600 per year for the rest of 5 years. Write the general term for the arithmetic sequence that models potential annual salaries.
Problem
Samuel Pepys wrote Isaac Newton to ask which of three events is more likely: that a person get (a) at least 1 six when 6 dice are rolled (b) at least two sixes when 12 dice are rolled, or (c) at least 3 sixes when 18 dice are rolled. What is the answer?
Problem
Three marksman simultaneously shoot and hit a rapidly spinning spherical target. What is the probability that the three points of impact lie on the same hemisphere?
| A. 0 | C. 1 |
| B. 1/2 | D. 2/3 |