Racha an has set of 10 mugs . The set is made up of three diff kinds of mugs

1/2 of mugs have pics on them

2/5 of mugs have words

1/-0 have flowers on them

Let xn be a bounded sequence of real numbers : Let xn be a bounded sequence of real numbers. Show that, if all the convergent subsequence converges to the same limit x*, then xn is convergent and converges to x*. |

Let xn be a bounded sequence of real numbers : Let xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence. |

A fair coin is tossed 3 times : A fair coin is tossed 3 times. |

Balls velocity when the opposing player fields the ball : A volley ball is spiked so that it has an initial velocity of 17 m/s directed downward at an angle of 65° below the horizontal. What is the horizontal component of the ball's velocity when the opposing player fields the ball? |

The set is made up of three diff kinds of mugs : The set is made up of three diff kinds of mugs |

The speed of ball decreased to one-half of its initial value : A ball is thrown straight upward and rises to a maximum height of 18 m above its launch point. At what height above its launch point has the speed of the ball decreased to one-half of its initial value? |

If they are released at the same instant from rest : Two identical + 9.0 C point charges are initially 2.5cm from each other. If they are released at the same instant from rest, how fast will each be moving when they are very far away from each other? Suppose they have identical masses of 1.0mg |

Horizontal must the stone be thrown to get a maximum range : A stone is thrown from the top of a slope that makes an angle of 30 degree with the horizontal. At what angle to the horizontal must the stone be thrown to get a maximum range? Show your work step by step. |

Direction of the starting speed of the bird : Compute the shooting angle i.e. the direction of the starting speed of the bird. You may utilize iteration to calculate, or the equation 1/cos2? = 1+tan2?. Is one angle that is possible or more? Discuss. |

## Determine the least calue of n such that the probabilityfind the least calue of n such that the probability of at least r light(s) having to be replaced over a period of n days, exceeds 0.9999 where |

## What structure does this system haveSuppose that X and Y are two mathematical objects of the same sort (two sets, two rings, etc.), and we consider the family of all homomorphisms among them. What structure does this system have? |

## How many bacteria are there at time in bacterial cultureAt what time is the growth rate of 20 new bacteria per minute and how many bacteria are there at this time in the bacterial culture? |

## Determine the dimensions of a rectangle with a perimeterRemember that the perimeter is the sum of all sides of the rectangle. Is there another shape that would be more efficient( higher area to perimeter ratio?) |

## How fast is the shadow cast by a tall buildingThe angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400-meter-tall building increasing when the angle of elevation of the sun is pi/6? |

## Find a number in the closed intervalFind a number in the closed interval 1/2, 3/2 such that the sum of the number and its reciprocal is as large as possible. |

## A two-person game is played in which a fair coinA two-person game is played in which a fair coin is tossed until either the sequence HT (heads, tails) or the sequence TT (tails, tails) appears. |

## How many are in preserveconservationist catches 300 deer, later 716 deer are caught 179 of them are tagged, how many are in preserve? |

## Develop a hypothetical 95 confidence interval for aconstruct a hypothetical 95 confidence interval for a hypothetical case of your choosing. use your own unique choice of |

## Constitute the population of interest in the focusingThe file Focus.txt in the Focus Database folder of the WeissStats CD contains information on the undergraduate students at the University of Wisconsin %u2013 Eau Claire (UWEC). Those students constitute the population of interest in the Focusi.. |

## Draw a tree diagram that illustratesDraw a tree diagram that illustrates the following. Three-fifths of kindergarten children are bussed to school, while two-fifths of the first to fifth graders are bussed. |

## Find the object maximum heightA guided missile is propelled from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation below. |

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