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弱弱求助5道CXD的数学题T~T

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楼主
发表于 2010-10-11 19:27:36 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
求详细解答过程。

1. The arithmetic mean of a data set is 46 and the standard deviation of the set is 4.Which value wxactly 1.5 standard deviations from the arithmetic mean of the set?
答案是52

2.If n is a positive integer and n平方 is divisible by 72, then the largest positive integer that must divide n is?
答案:12。

3.A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
答案:37440

4. During a sale at an office supply store, for every bos of paper clips purchased for 15 cents, a second box can be purchased for 4 cents. How many boxes of paper clips did Paul buy if he spent 91 cents on boxes of paper clips?
答案:9

5.The enrollments at college X and College Y both grew by 8 percent from 1980 to 1985. If the enrollment at College X grew by 800 and the enrollment at College Y grew by 840, the enrollment at College Y was how much greater than the enrollment at College X in 1985?
答案: 540
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沙发
 楼主| 发表于 2010-10-11 19:55:56 | 只看该作者
板凳
发表于 2010-10-12 01:26:31 | 只看该作者
第一题我一直也没有弄明白~求解~后来个人认为是求1,5倍的standard deviation 与arithmetic mean 的和。根据答案瞎推的,因为1.5*4+46=52。哈哈

第二题:n^2=72*x=6^2*2*x所以x=2*a^2 。the largest positive integer that must divide n=6*2=12

第三题:从0到9任意取三个数放在三个位置有720种,从字母表中任意选一个有26种,因为字母只能放在两个位置,所以是720*26*2=37440

第四题:91=(15+4)*4+15 所以是买了9box

第五题:1980年Y 的enrollment=840/8%=10500  X的=800/8%=10000  1985年Y=10500+840=11340 X=10000+800=10800  所以Y比X多540
地板
发表于 2010-10-12 05:07:46 | 只看该作者
[quote]
求详细解答过程。

1. The arithmetic mean of a data set is 46 and the standard deviation of the set is 4.Which value wxactly 1.5 standard deviations from the arithmetic mean of the set?
答案是52
个人理解,1.5*4+46=52,它说的就是前面那个标准方差的1.5倍,from应该就是从46加吧。。。
2.If n is a positive integer and n平方 is divisible by 72, then the largest positive integer that must divide n is?
答案:12。
这个不理解。。。
3.A four-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
答案:37440
这个是这样,从26个字母中选一个,放在两个位置中的一个,从10个数字中选三个,放在三个位置,就是26*2+10*9*8
4. During a sale at an office supply store, for every bos of paper clips purchased for 15 cents, a second box can be purchased for 4 cents. How many boxes of paper clips did Paul buy if he spent 91 cents on boxes of paper clips?
答案:9
这样子,91除以15+4,得4,就是说整除的话可以买四个15配四个4,余下一个15,一共九个
5.The enrollments at college X and College Y both grew by 8 percent from 1980 to 1985. If the enrollment at College X grew by 800 and the enrollment at College Y grew by 840, the enrollment at College Y was how much greater than the enrollment at College X in 1985?
答案: 540
8%X=800,8%Y=840,所以X=10000,Y=10500,所以1985的整体X是10800,整体Y是11340,差距540
5#
发表于 2010-10-12 05:09:13 | 只看该作者
比起楼上我写了好多好多废话啊。。。。。。。。泪奔
6#
 楼主| 发表于 2010-10-12 17:43:01 | 只看该作者
谢谢你~!我还怕太麻烦没有人愿意回答呢T~T
再次感谢~~ ^^.
7#
 楼主| 发表于 2010-10-12 17:44:36 | 只看该作者
比起楼上我写了好多好多废话啊。。。。。。。。泪奔
-- by 会员 ViolaT4ever5 (2010/10/12 5:09:13)




不会是废话啊~谢谢你那么耐心的解答哦~ :)
8#
 楼主| 发表于 2010-10-12 17:49:29 | 只看该作者

第二题:n^2=72*x=6^2*2*x所以x=2*a^2 。the largest positive integer that must divide n=6*2=12

这个还是木有懂。。。哎我笨死了 >.<
9#
发表于 2010-10-12 18:54:56 | 只看该作者
n^2=x*72=6^2*2*x  所以 n=6*根号2*x ,x一定等于2*a^2 要不然就不满足n的条件。也就是说n=6*2*a  因为a的取值不定所以确定的满足条件的最大值就是2*6
10#
 楼主| 发表于 2010-10-12 20:41:04 | 只看该作者
哇哦~~!明白嘹~~~感谢感谢~~~~~
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