A church steeple casts a shadow 115 ft long, at the same time a 9.0 ft post casts a shadow 7.0 ft long. How high is the steeple?

## Find the percentage of customers spent less than $20Find the percentage of customers spent less than $20 |

## Explain what is the probability of the sum of two diceA particular spell has a .18 (i.e. 18%) chance to do critical damage. What is the probability that a spell can be cast 10 times in a row without doing critical damage? What is the probability of the sum of two dice equaling an odd number? |

## Bearings for laps in boat racingA boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first side, and their lengths are 1500 meters and 2800 me.. |

## Leontief input output model-real world applicationsWhy did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model? |

## Give description of probability distribution functionDescription of Probability distribution function, Please give step-by-step process for solving the following probability problems. |

## Uniform continuity and boundednessLet f:R->R be uniformly continuous on R (the reals) and let f_n(x)=f(x+1/n) for x in the reals. Show that (f_n) converges uniformly on the reals to f. |

## Information about ring proofsShow that every subfield of complex numbers contains rational numbers. Show that the prime field of real numbers is rational numbers. Show that the prime field of complex numbers is rational numbers |

## Computing fixed cost and variable costIf we graph this data with Total Cost on the Y axis (Vertical axis) and the Quantity Produced on the X axis (Horizontal axis) what do you think will be the shape of the line |

## What is the probability that an arriving planeWhat is the probability that an arriving plane will find at least one other plane waiting to land? Calculate the average time it takes a plane to land and clear the runway once it has notified the airport that it is in the vicinity and wants to lan.. |

## Information about linear algebra proofsLet L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular. |

## Question regarding continued fractionsIn each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false). |

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