How many points(x,y) with integer coordinates lie inside or along the boundary of the circle of radius 5 centered at (0,0)

## Prove that the line will pass through a fixed pointA straight line moves in such a way that the sum of the reciprocals of the intercepts of the axes is equal to 1/k , where k is a constant. Prove that the line will pass through a fixed point. |

## Plotting graphs and defining functionsI have found the number of deaths in the United States due to each medical condition in each of the following years. |

## By mistake he tells one helper to drill holes for boltsa carpenter wants to bolts two long boards together for strength . the boards are 288 inches long. by mistake he tells |

## There is a very famous distribution that describesThere is a very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls, what is its name? |

## Find the terminal point on the unit circle determinedfind the terminal point on the unit circle determined by 7pi/6 |

## How long should a guy wire bea radio transmission tower is 200 feet tall. How long should a guy wire be if it is to be attached 14 feet from the top and is to make an angle of 23 degrees with the ground? |

## Find three consecutive even integersthe sum of 2 numbers is 36. the difference between the larger number and 8 equals the total of four and three times the smaller number. find the 2 numbers. |

## Explain probability of birthdaysExplain Probability of birthdays. Are your best friends' birthdays dependent or independent events? |

## The distribution of ant mounds on a farmhe distribution of ant mounds on a farm can be accurately modeled by a Poisson distribution. |

## What is the velocity of a liquid in a pipeWhat is the velocity of a liquid in a pipe that has a flow rate of 5ft3/s and a diameter of 6 inches ? please show the steps in detail ? |

## Word problem involving percentageA production center is available for 8 hours a day in a factory. It is comprised of several rotary parts and the worker operating it, is required to lubricate these rotary parts regularly each day. |

## Test the claim that the proportions of agree or disagreeUsing a 0.025 significance level, test the claim that the proportions of agree/disagree responses are same for the subjects interviewed by men & the subjects interviewed by women. |

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