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求助 pp数学ds题,不明白~

还有几天就考试了,不明白的prep错题麻烦大家帮忙看下

(1)Each employee on a certain task force is either a manager or a director. What percent of the employee on the task force are directore?

 

        1) The average (arithmetic mean)salary of the managers on the task force is $5,000less than the average salary of all employees on the task force.

 


        2)The average (arithmetic mean)salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.


key C

 

(2)   If n is a positive interger less than 200 and 14n/60 is an integer, then n has how many different positive prime factors?

 

    2 ,    3。  5。  6。  8。    

 


key  3

 

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 明白了!    谢谢!! 

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(1)设经理有M个,平均工资为S1,总监有D个,平均工资为S2,所有人的平均工资为S

条件一:S1+5000=S 条件二:S2-15000=S

S=(S1M+S2D)/M+D第一个式子代进去得到一个等式:S1D+5000(M+D)=S2D,第二个式子代进去:S2M-15000(M+D)=S1M

两个式子得出:D:M=1:3 选C

(2)14N/60是个整数,说明7N/30是个整数,7不是30的因数,说以N是30的倍数,那么N可以是30,60,90,120,150,180

不管是那个数,起质因数都只有:2,3,5三个素数。key:3

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