Calculation of true distance of a line measuring 160.42 m using a tape that is 0.02m too long |

A circle has an equation of x^2 + y^2 + 2cy = 0. Find the value of c when the length of the tangent from (5, 4) to the circle is equal to one. |

Calculate the acute angle between 2x - 4y - z = -5 and 3x + 4y + 5z = -6 |

If arcsin (3x - 4y) = 1.571 and arccos (x - y) = 1.047, what is the value of x? |

The digits of a three-digit number are in arithmetic progression, find the sum of all the digits |

There are 7 arithmetic means between 3 and 35. What is the sum of all the terms? |

A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water. |

What is the equation of the normal to the curve x^2 + y^2 = 25 at (4, 3)? |

What is the radius of the circle x^2 + y^2 - 6x = 0? |

When the polynomial x^4 + bx^3 + 5x^2 + dx + 6 is divided by x - 2 the remainder is 16. When it is divided by x + 1 the remainder is 10. Find the value of constant d. |

Gas is escaping from a spherical balloon at a constant rate of 2 fˆ3/min. How fast is the outer surface area shrinking? |

Determine the percentage uncertainty in the area of a square that is 6.08 (+/-) 0.01 m on a side. |

In still water, your small boat average 8 miles per hour. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. What is the rate of water's current? |

BCR of $180,000 investment yielding $60,000 annual benefits at 7% annually |

Which pizza is a better buy: large with 16-inch-diameter for $15 or medium with 8-inch-diameter for $7.50? |

Given the following equations: ab = 1/8, ac = 3, bc = 6. Find the value of a + b + c. |

Please help me solve this problem: Moment capacity of a rectangular timber beam |

Which of the following is the derivative with respect to x of (x + 1)^3 - x^3? |

How many men paid for a total amount of $262,143.75 if the first person to arrive only paid 25 cents? |

How many terms from the progression 3, 5, 7, 9, ... must be taken in order that their sum will be 2600? |

Find the probability that somebody is healthy given that they have positive test result? |

What is the probability that 4 depth charges will sink the submarine? |

Find the equation of the curve passing through the point (3, 2) and having s slope 5x^2 - x + 1 at every point (x, y) |

A coin is so unbalanced that you are likely to get two heads in two successive throws as you are to get tails in one |

Probability Problems Involving Coins |