if 1500 square centimeters of material is used to make a box with square base and an open top, what is the largest possible volume of the box?

## Description of systems of linear equationsInvestments. William opened two investment accounts for his grandson's college fund. The first year, these investments, which totaled $18,000, yielded $831 in simple interest. Part of the money was invested at 5.5% and the rest at 4%. How much was.. |

## Description of fermat little theoremPlease DO NOT USE Euler's function. You can only use Fermat's Little theorem if needed. |

## Is the new version of the test harder than the old oneCarry out the test in (a) at the 5% level. What is your conclusion: is the new version of the test harder than the old one? Justify your answer. |

## What is probability that at least one right-handed studentAn Introduction to Economics class with 188 students meets in this lecture hall. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander? |

## Find an equation for the branch of the hyperbolathe LORAN stations at A and B are 500 mi apart, and the ship at P receives station A's signal 2640 microseconds (μs) before it receives the signal from station B. |

## Compute lu decomposition and gaussian eliminationUse Gaussian elimination with partial pivoting to find matrices L and U such that U is upper triangular, L is lower triangular with | l_ij| = j and LU = A', where A' can be obtained from A by interchanging rows. |

## What statistical test should be used to analyze these dataWhat statistical test should be used to analyze these data? |

## What is the speed of the winda twin-engine aircraft can fly 1050 miles from city a to city b in 5 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind? |

## Laurent series and power seriesIf F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)). |

## What are the length and width of the rectanglethe dimensions of a rectangle are such that its length is 3 in more than its width. if the length were doubled and if the width were increased by 1 in, the area would be increased by 104 in what are the length and width of the rectangle? |

## Evaluate the standard deviationCalculate the result from the given survey of voters - Evaluate the standard deviation from the range (i.e., use the range rule of thumb). |

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