首页
登录
职称英语
Each employee of a certain company is in either Department X or Department 7, an
Each employee of a certain company is in either Department X or Department 7, an
游客
2024-01-12
34
管理
问题
Each employee of a certain company is in either Department X or Department 7, and there are more than twice as many employees in Department X as in Department Y. The average(arithmetic mean)salary is $25,000 for the employees in Department X and $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees of the company?
Indicate all such amounts.
A $26,000
B $28,000
C $29,000
D $30,000
E $31,000
F $32,000
G $34,000
选项
答案
A,B
解析
One strategy for answering this kind of question is to find the least and/or greatest possible value. Clearly the average salary is between $25,000 and $35,000, and all of the answer choices are in this interval. Since you are told that there are more employees with the lower average salary, the average salary of all employees must be less than the average of $25,000 and $35,000, which is $30,000. If there were exactly twice as many employees in Department X as in Department Y, then the average salary for all employees would be, to the nearest dollar, the following weighted mean,
≈ 28,333 dollars
where the weight for $25,000 is 2 and the weight for $35,000 is 1. Since there are more than twice as many employees in Department X as in Department Y, the actual average salary must be even closer to $25,000 because the weight for $25,000 is greater than 2. This means that $28,333 is the greatest possible average. Among the choices given, the possible values of the average are therefore $26,000 and $28,000.
Thus the correct answer consists of Choices A($26,000)and B($28,000).
Intuitively, you might expect that any amount between $25,000 and $28,333 is a possible value of the average salary. To see that $26,000 is possible, in the weighted mean above, use the respective weights 9 and 1 instead of 2 and 1. To see that $28,000 is possible, use the respective weights 7 and 3.
This explanation uses the following strategies.
Strategy 1: Translate from Words to an Arithmetic or Algebraic Representation
Strategy 8: Search for a Mathematical Relationship
Strategy 12: Adapt Solutions to Related Problems
转载请注明原文地址:https://tihaiku.com/zcyy/3355513.html
相关试题推荐
Hebegantoworkforabigcompany______anearlyage.A、onB、atC、ofD、withB本题
Thisoldladyhastwodaughters,______ofwhomislivingnearby.A、noneB、neither
Ourpreferencesforcertaincolorsare______accordingtothepassage.[br]Whi
Ourpreferencesforcertaincolorsare______accordingtothepassage.[br]Whi
Ourpreferencesforcertaincolorsare______accordingtothepassage.[br]Whi
Accordingtoarecentsurvey,employeesinmanycompaniestodayworklonger
Thedegree______youmaintainyourmentalhealthmaydependoncertainsimpleenv
NeitherJohnnorI______abletopersuadeRichard’sgrandfathertoattendthew
NeitherBillnorhisparents______athome.A、isB、areC、hasD、haveB考查主谓一致。句意:比尔
______forthetimelyinvestmentfromthegeneralpublic,ourcompanywouldnotb
随机试题
Politicaldominancebelongedtothenorth.Germany,France,andEnglandhad
[audioFiles]audio_eham_j62_001(20082)[/audioFiles]A、Whomadethephonecall.B、
根据耶克斯一多德森定律,学习动机水平与学习效率之间呈()A.“U”型曲线关系
下列哪种疾病AFP值一般不会升高A.生殖腺胚胎肿瘤 B.原发性肝细胞癌 C.
假设某封闭式基金3月10日的基金净资产为55000万元人民币,3月11日的基金净
如果账簿前一页登记已满,则翻页后可以直接继续连续登记。()
农业劳动生产率的增长受多种因素影响,主要有( )。 A.农业劳动者的生产技
3月1日,大连商品交易所9月份大豆期货价格为3860元/吨,大豆现货价格为380
需求量的变动一般是指在影响需求的其他因素不变的前提下,由于()变化所引起的对该
下列爆破作业的说法,正确的有()。A.装药和堵塞可使用木、竹、铝制作的炮棍 B
最新回复
(
0
)