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
38
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
ASports体育运动Manyanimalsengageinplay,butho
InChina,over84percentofemployerschosetogiveyear-endbonuses(奖
Accordingtothepassage,asurveyaboutbutterfliesiscarriedonby______.[or
TodayIwanttohelpyouwithastudyreadingmethodknownasSQ3R.Thelett
试述矩阵组织形式的主要特点。
()实现了我国太阳探测零的突破,标志着我国太空探测正式步入“探日”时代。A
下列不属于证券产品选择目标的是()。A.取得收益 B.提高风险 C.本金保
硫酸镁发挥导泻、利胆作用时应采用的给药途径是A.po. B.iv. C.外用
要获得任一种色调的混合色光,需要单色仪的台数至少是A.2台 B.3台 C.4
根据继承法规定,继承人所为的下列行为中,可导致其丧失继承权的有A.故意杀害被继承
最新回复
(
0
)