Describe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers.

Find the probability that the first card is e : Each of the letters in the word MENDOCINA is written on a card, and the cards are mixed thoroughly. You draw one card and replace it. You draw a second card. find the probability that the first card is E and the second card is N. |

What will be its population count in 5 hours : A certain strain of virus grows in numbers at the rate of 50% per hour. If it's present population is 343,000 what will be its population count in 5 hours? |

What is the strongest requirement : If M m,n the space of all m by n matrices, and M j,k the space of all j by k matrices, are assumed to be isomorphic, what is the strongest requirement that can be inferred about the values of m,n,j, and k? |

Draw the class diagram for your modi ed system : Explain what is wrong. Modify the system so that it conforms to the pattern. Explain each of the changes you made to the system. Draw the class diagram for your modi ed system. |

Describe the kernel of the linear transformation : Describe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers. |

The number of equivalent units of production : All materials are added at the beginning of the process. Direct labor was $32,450 and factory overhead was $18,710. |

What sample size would the economist need : What sample size would the economist need to use if he wants a 95% confidence interval no wider than plus or minus $100? |

Write a simple program to display a fibonacci number : Write a simple program to display a fibonacci number with rule as example |

How much mix is needed to make each amount of lemonade : If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade. |

## Computing translation and reflectionA student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicul.. |

## What is the most you can withdraw annuallyIn order to help you through college, your parents just deposited $20,000 into a bank account paying 6% interest. Starting tomorrow you plan to withdraw equal amounts from the account at the beginning of each of the next four years. What is the MO.. |

## What is the index of a radicalWhat is the index of a radical? When working with radicals, can the radicand be negative when the index is odd? Can it be negative when the index is even? |

## How many chocolate bars cathy hasJohn has 15 more chocolate bars than Rick. Cathy has 9 times as many chocolate bars as John. If Rick has r chocolate bars, which equation below represents how many chocolate bars Cathy has, c? |

## How many adult tickets were soldA total of 381 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 fewer student tickets sold than adult tickets. How many adult tickets were sold? |

## Select an ordered pair from the choices belowSelect an ordered pair from the choices below that is a solution to the following system of inequalities. |

## How much should he invest in each to maximize his returnHow much should he invest in each to maximize his return? Assume the investment returns are as expected. |

## Find the probability that the site gets 10 or more hitsHits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week. |

## Parabola from the given dataFind the directrix, focus and roots of the parabola from the given data and sketching the graph of given equation |

## How many handshakes take placeTwo twelve-member basketball teams play a game. After the game, each of the members of the winning team shakes hands once with each member of both teams. How many handshakes take place? |

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