Problem
Assume that a single depth charge has a probability of 1/2 of sinking a submarine, 1/4 of damage and 1/4 of missing. Assume also that two damaging explosions sink the sub. What is the probability that 4 depth charges will sink the sub?
Problem
Find the equation of the curve passing through the point (3, 2) and having s slope 5x2 - x + 1 at every point (x, y).
| A. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{31}{3}$ | C. $y = 5x^3 - 2x^2 + x - 118$ |
| B. $y = 5x^3 - 2x^2 + x - 31$ | D. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{83}{2}$ |
When you toss a coin, the outcome can either be head or tail. If the coin is so balanced that these two outcomes are equally likely to occur, then the probability that the outcome is head is 1/2, and the probability that the outcome is tail is also 1/2.
Example
A coin is tossed three times. What is the probability that the head will appear only once?
Problem
The median of a right triangle drawn to the hypotenuse is 3 cm long and makes an angle of 60° with it. Find the area of the triangle.
| A. 7.97 cm2 | C. 8.79 cm2 |
| B. 8.97 cm2 | D. 7.79 cm2 |
Problem
By the conditions of a will, the sum of P2.5M is left to a girl to be held in a trust fund by her guardian until it amounts to P4.5M. When will the girl receive the money if the fund is invested at 8% compounded quarterly?
| A. 7 years | C. 7.42 years |
| B. 6.8 years | D. 7.25 years |
Problem
For triangle BOA, B is on the y-axis, O is the origin, and A is on the x-axis. Point C(5, 2) is on the line AB. Find the length of AB if the area of the triangle is 36 unit2.
| A. 24.31 units | C. 13.42 units |
| B. 18.30 units | D. 10.80 units |
Definition
Straight line is the locus or path of a point that moves without changing its direction.
General Equation
The general equation of the straight line is given by
Problem
Determine the volume of a regular tetrahedron of edge 2 ft.
| A. 1.54 ft3 | C. 1.34 ft3 |
| B. 1.01 ft3 | D. 0.943 ft3 |
Recent comments
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