E
emily l
Guest
1. kevin will start with the integers 1,2,3,4 each used exactly once and written in a row in any order. then he will find the sum of the adjacent pairs of integers in each row to make a new row, until one integer is left. for example, if he starts with 3,2,1,4, and then takes sums to get 5,3,5 followed by 8,8 and ends with the final sum 16. including all of kevin's possible starting arrangements of the integers 1,2,3,4 how many possible final sums are there?
2. a right cylinder with a bade radius of 3 units is inscribed in a sphere of radius 5 units. what is the total volume of the space inside the sphere and outside the cylinder? express your answer as a common faction in terms of pi
3.given that x^2-5x+8=1 what is the positive value of x^4-10x^3+25x^2-9?
4.an o-Pod MP3 player stores and plays entire songs. Celeste has 10 songs stored on her o-Pod. The time length of each song is different. When the songs are ordered in length, the shortest song is only 30 seconds long and each subsequent song is 30 seconds longer than the previous song. Her favorite song is 3 minutes and 30 seconds long. The o-Pod will play all the songs in random order before repeating any song. What is the probability that she hears the first 2 minutes and 30 seconds of music - there are no pauses between songs- without hearing every second of her favorite song? Express your answer as a common fraction.
2. a right cylinder with a bade radius of 3 units is inscribed in a sphere of radius 5 units. what is the total volume of the space inside the sphere and outside the cylinder? express your answer as a common faction in terms of pi
3.given that x^2-5x+8=1 what is the positive value of x^4-10x^3+25x^2-9?
4.an o-Pod MP3 player stores and plays entire songs. Celeste has 10 songs stored on her o-Pod. The time length of each song is different. When the songs are ordered in length, the shortest song is only 30 seconds long and each subsequent song is 30 seconds longer than the previous song. Her favorite song is 3 minutes and 30 seconds long. The o-Pod will play all the songs in random order before repeating any song. What is the probability that she hears the first 2 minutes and 30 seconds of music - there are no pauses between songs- without hearing every second of her favorite song? Express your answer as a common fraction.