A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.

How has cybercrime contributed to the crime rate : How has cybercrime contributed to the crime rate in the past 10 years? How is technology being used to commit crime and to fight crime within the United States? |

Find the perimeter of the triangle lying in xyz-space : find the perimeter of the triangle lying in xyz-space with vertices at the points: (5,-2,3), (4,7,3), and (4,7,9) |

State elemental iron with excess oxygen gas : change in enthalpy at 25 C and 1 atm for the reaction of 5.00 mol of elemental iron with excess oxygen gas? |

Vice president of marketing for a cosmetic firm : Explain how the company's credibility and the "you attitude" would play a part in your planned communication to your customers. |

Find the variance for the number of defects per batch : A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch. |

Which number is compatible to use as a dividend with 7 : Which number is compatible to use as a dividend with 7? |

What rent should the manager charge to maximize revenue : Similarly, one additional unit will be occupied for each 4 dollar decrease in rent. What rent should the manager charge to maximize revenue. |

The specific factor model : the economy of the Shire that produces cereals and swords each industry employs Hobbits, but land is specific to the production of cereals, and metal is a specific factor in the sword industry. |

Find the length of the sidewalk : A rectangular park measures 300 ft. by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk. |

## Determining directed graphs and treesIs a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph? |

## The population of a community is known to increaseThe population of a community is known to increase at a rate proportional to the number of people present at time t |

## Real analysis functions with equal derivativesLet f be a function given by-Is there a function g: R ---> R such that g'=f? Be careful applying definition of the derivative |

## What is the maximum distance the boatShow that the limit of x(t) as x-> infinity is finite, i.e., the boat will travel a finite amount of distance after its motor quits. What is the maximum distance the boat will travel after its motor quits? |

## Integration to find areaPlease show in detail how to solve the following area problem. Let R be the region bounded by the graphs of f(x) = 4 - x^2/4 +8x |

## Solving probability problems based on combinationsSolving probability problems based on combinations |

## Mass of solid by integrationSet up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals. |

## Find the exponential function of the formfind the exponential function of the form y=ae kx that goes through the points (0,4) and (2,9).show all your steps and use four decimal places. |

## Proving an identity using a graphDetermine graphically using excel whether the equation could be possibly be an identity. If it can prove that it is. Here is an example of what I am working on at this time. Please explain how? |

## Determine the maximum revenueFind the level of production that will maximize the total revenue and determine the maximum revenue. |

## Altitude in equilateral triangleConstruct an equilateral triangle. Then construct one of its altitudes. If the sides each have length 1, how long is the altitude |

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