Let xn be a bounded sequence of real numbers. Show that, if all the convergent subsequence converges to the same limit x*, then xn is convergent and converges to x*.

What height above the ground was the marble thrown : A marble is thrown horizontally by a speed of 16 m/s from the top of a building. When it strikes the ground, the marble has a velocity that makes an angle 50° with the horizontal. From what height above the ground was the marble thrown? |

Leads to rejection of the null hypothesis : Which of the following z-scores is the smallest one in absolute value that leads to rejection of the null hypothesis ? |

A horizontal rifle is fired at a bulls-eye : A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 664 m/s. The gun is pointed directly at the center of the bull's-eye, however the bullet strikes the target0.023 m below the center. What is the horizontal distance among .. |

When the skateboarder reaches the highest point : A skateboarder shoots off a ramp by a velocity of 6.5 m/s, directed at an angle of 54° above the horizontal. The end of the ramp is 1.1 m above the ground. Let the x axis be parallel to the ground, the +y direction be vertically upward, and take as t.. |

Let xn be a bounded sequence of real numbers : Let xn be a bounded sequence of real numbers. Show that, if all the convergent subsequence converges to the same limit x*, then xn is convergent and converges to x*. |

Let xn be a bounded sequence of real numbers : Let xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence. |

A fair coin is tossed 3 times : A fair coin is tossed 3 times. |

Balls velocity when the opposing player fields the ball : A volley ball is spiked so that it has an initial velocity of 17 m/s directed downward at an angle of 65° below the horizontal. What is the horizontal component of the ball's velocity when the opposing player fields the ball? |

The set is made up of three diff kinds of mugs : The set is made up of three diff kinds of mugs |

## The mean length of prison time was found to be 35 years1. a local politician running for reelection claims that the mean prison time for car thieves is less than the required |

## How many adult tickets were soldA total of 393 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold . How many adult tickets were sold? |

## Express the hydrostatic force against one side of the plateAn equilateral triangle with sides 10 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. |

## Find the number of revolutions made by a wheel with a radiusfind the number of revolutions made by a wheel with a radius of 5ft that traveled 633ft use 3.14 for pie round answer to nearest tenth of revolution. |

## Evaluate the tangent line approximation of the two valuesevaluate the tangent line approximation of the two values and compare with the true valuefind the tangent line |

## Why the government prefersWhy a taxpayer whose income tax rate is 27.8% would hope that the rate could be truncated to a whole number when calculating the amount of tax owed on the tax form. |

## What is the installment priceThe Morrison family bought a car for $22,000 was which was financed at $600 per month for 40 months. The down payment was $3000. |

## Calculate the mean and standard deviationCalculate the mean and standard deviation (by hand) for the MINITAB created binomial distribution with the probability of a success being ½. Either show work or explain how your answer was calculated. Mean = np, Standard Deviation = |

## How long must the wire beWire is strung between a building and the ground, making a 30-60-90 triangle as shown. The wire is attached to the ground 14 feet from the building. a) How long must the wire be? b) How far up the side of the building is the wire attached? |

## Find the observed p-value for the hypothesis testDoes the sample data provide evidence to conclude that less than 28% of B&B's customers are women (using a = .01)? Use the hypothesis testing procedure outlined below. |

## Software techniques and exampleMany free software mathematics packages on the Internet will solve a system of equations given the coefficients in the system. |

## I does so in such way that point of contact denoted bya ramp is described by the function y e-x x ge 0. for positive times a disk of radiusnbspanbsprolls without slipping |

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