Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distribution of the sample mean.

State the total molarity of acid and conjugate base : The total molarity of acid and conjugate base in this buffer is .100 M. A student adds 7.10 mL of a .250 M HCl solution to the beaker. How much will the pH change? The pKa of acetic acid is 4.760 |

Explain the initial ph : consider the titration of a 26.0 mL sample of .175M CH3NH2 with .155M HBr. Determine each of the following. 1) the initial pH 2) the volume of added acid required to reach the equivalence point |

How fast is the beam of light moving along : A lighthouse is located on a small island 4 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answ.. |

Admission the emergency room physician : What is this condition called? What are two reasons why this condition would occur and what caused this woman to pass out (i.e. lose consciousness)? |

What does the central limit theorem : Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distrib.. |

Find the dimensions of the square and the rectangle : The combined area of a square and a rectangle is 355 square centimeters. The width of the rectangle is 5 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. Find the dimen.. |

What type of enzyme have you discovered : Find that bubbling pure oxygen into the cultures does not result in any enzyme activity against either lignin or cellulose - what type of enzyme have you discovered? And what is the rationelle for it? |

How fast is the distance from the camera : If the televison camera is always kept aimed at the rocket, how fast is the camera's angle of elevation changing in radians/s at that moment? |

How many possible outcomes : Tom,Bill,John,and Ed are running for school president.The person in second place automatically becomes vice-president.how many possible outcomes are theres in the sample space? |

## Finiteness of setsGive examples to show that the finiteness of the collections in parts c and d is essential. For any finite collection G1, G2, ...., Gn of open sets, intersection (at the top of the intersection sign is n and at the bottom is i=1) of Gi is open. |

## Find the most economical speedcursion boat is proportional to the cube of its speed and is $40 per hour when the speed is 10 mph. Expenses are $270 per hour. Find the most economical speed at which to make a trip of any specified distance. |

## Combinations and permutations sampling without replacementProbability, Combinations and Permutations : Sampling Without Replacement, A basket contains 4 black, 2 red, and 5 green marbles. A sample of three marbles is drawn |

## Ow many times greater is the volume of box 1 than the volumeBonni has two similar rectangular boxes. The dimensions of box 1 are twice those of box 2. How many times greater is the volume of box 1 than the volume of box 2? |

## What was the speed on each part of the tripDuring the first part of a trip, a canoeist travels 98 miles at a certain speed. the canoeist travels 44 miles on the second part of the trip at a speed 5 mph slower. the total time for the trip is 3 hours. what was the speed on each part of the t.. |

## Find probability of having a disease when testing positiveProbability of Having a Disease when Testing Positive. Suppose that 1% of all people have a particular disease. A test for the disease is 99% accurate. This means that a person who tests positive for the disease has a 99% chance of actually having.. |

## Prove or disprove that the subgroup h is normalProve or disprove that the subgroup H is normal in the group G and what is the order of the factor group D8=Z(D8)? |

## Area of part of the surfaceFind the area of the part of the surface 2z = x^2 that lies directly above the triangle in the xy-plane with the vertices at (0,0),(1,0) and (1,1). |

## Determining rational expressions and fractionsHow is doing operations (adding, subtracting, multiplying, and dividing) with rational expressions similar to or different from doing operations with fractions? |

## Which inequalities represent time needed to roast a chickenThe time needed to roast a chicken depends on its weight. Allow at least 15 min/lb for a chicken weighing up to 6 lbs. Allow at least 20 min/lb for a chicken weighing more than 6 lbs. |

## Find the mean retirement age to the nearest yearLast year, nine employees of an electronics company retired. Their ages at retirement are listed below. Find the mean retirement age, to the nearest year. |

## What is the muzzle speedA gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2) |

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