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考试在即,真诚求助几道数学题,请各位同学帮助解答,多谢!

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楼主
发表于 2011-4-24 12:22:54 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
1、for a certainn examination, a score of 58 was 2 standard deviation below the mean, and a scorre of 98 was 3 standard deviations above the mean. what was the mean score for the examination
74/76/78/80/82(答案是74)

2、a certain library assesses fines for overdue booking as follows. on the first day that a book is overdue, the total fine is $0.10, for each additional day that the book is overdue, the total fine is rither increased by $ 0.30 or doubled, whichever results in the lesser amount. what is the total fine for a book on the fourth day it is overday?
0.60/0.70/0.80/0.90/1(答案是0.70)

3、on a certain sight-seeing tour, the ratio of the number of women to the children was 5 to 2, what was the number of men on the sight-seeing tour?
(1)on the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11
(2)the number of women on the sight-seeing tour was less than 30
答案:both statements together are sufficient , but neither statemnet alone is sufficient.

4、the ratio of a certain chemical reaction is directly proportional to the square of the concentration of chemical A present and inversely proportional to the concentration of chemical B present. if thr concentration of chemical B is increased by 100 percent, which of the following is closest to the percent change in the concentration of chemical A required to keeo the reacion rate unchanged.
(1)100% decreased (2)50%decreased (3)40decreased (4)40%increased (5)50%increased
答案(4)

5、if x的4次方+y的4次方=100,then the greatest possible value of X is between
(1)0 and 3 (2)3and 6 (3)6 and 9 (4)9and 12 (5)12 and 15
答案(2)

6、last month 15 homes wew sold in town X, the average (arithmatic mean) sale price of the homes was $150000, and the median sale price was $130000. which of the following statements must be true?
(1)at least one of the homes was sold for more than $165000
(2)at least one of the homes sold for more thant $130000 and less than $165000
(3)at least one of the homes sold for less than $130000
答案(1)
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沙发
发表于 2011-4-24 21:10:15 | 只看该作者
这是楼主做Prep的题吧,3,4,6我也遇到了

1.题目说58比平均数少2个标准差,98比平均数多3个标准差,所以标准差就是(98-58)/(3+2)=8,平均数等于58+8*2=74

2.第一天费用0.1,第二天0.1*2=0.2,第三天0.2*2=0.4,第四天0.4+0.3=0.7

3.根据条件一得女人;小孩:男人=25:10:22,条件二又说女人少于30,那就是25了,男人就是22了

4.题目说这个反应速率和A的浓度的平方成正比,和B浓度成反比,就是r=cA^2/B,c为常数,那B增加了100%就是double了,设A变为原来的xA,公式变成r=c(xA)^2/2B,把几个答案代进去算一下就可以了

5.3^4=81<100,4^4=256>100,题目没说x是整数,那就在3到4中间了

6.
1)题目说中位数是130000,那么至少有一半是小于等于这个数,而平均数是150000,假设没有一套房子超过165000,那么它们的平均数最多不超过(130000*8+165000*7)<150000
2)不一定,因为(130000*8+165000*7)<150000,所以就算130000以上的另外7套房子都超过165000也是可以的
3)不一定,可以有8套都是130000啊
板凳
 楼主| 发表于 2011-4-24 23:24:07 | 只看该作者
解答得非常详细呀,赞一个,多谢。
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