大师作文网请帮忙翻译3道数学题!
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请帮忙翻译3道数学题!
1: A detergent manufacturer wishes to forecast their future sales.Their market research department assesses that their brand has 20% of the potential market at present.They also estimate that 15% of those who bought their products in a given month will buy a different detergent in the following month and that 35% of those who bought a rival brand will their products in the next month.Show that their share Pn% of the market in the nth month satisfies the recurrence relation
Pn+1 = 35 + 0.5Pn , with Po = 20
Find the values of Pn for n = 1 , 2 , 3 and 4 and illustrate them on an appropriate diagram.
2.A precipitate at the bottom of a beaker of capacity V always retains about it a volume v of liquit,What percentage of the original solution remains about it after it has been washed n times by filling the beaker with distilled water and emptying it?
3.A certain process in statistics involves the following steps Si (i=1 , 2 ,…….., 6):
S1:Selecting a number from the set T = (x1,x2,…..,xn)
S2:Subtracting 10 from it
S3:Squaring the result
S4:Repeating steps S1-S3 with the remaining numbers in T
S5:Adding the results obtained at stage S3 of each run through
S6:Dividing the result of S5 by n
Express the final outcome algebraically using notation.
1: A detergent manufacturer wishes to forecast their future sales.Their market research department assesses that their brand has 20% of the potential market at present.They also estimate that 15% of those who bought their products in a given month will buy a different detergent in the following month and that 35% of those who bought a rival brand will their products in the next month.Show that their share Pn% of the market in the nth month satisfies the recurrence relation
Pn+1 = 35 + 0.5Pn , with Po = 20
Find the values of Pn for n = 1 , 2 , 3 and 4 and illustrate them on an appropriate diagram.
2.A precipitate at the bottom of a beaker of capacity V always retains about it a volume v of liquit,What percentage of the original solution remains about it after it has been washed n times by filling the beaker with distilled water and emptying it?
3.A certain process in statistics involves the following steps Si (i=1 , 2 ,…….., 6):
S1:Selecting a number from the set T = (x1,x2,…..,xn)
S2:Subtracting 10 from it
S3:Squaring the result
S4:Repeating steps S1-S3 with the remaining numbers in T
S5:Adding the results obtained at stage S3 of each run through
S6:Dividing the result of S5 by n
Express the final outcome algebraically using notation.
第一题：
一个洗涤剂企业要预测自己的未来的销售额.该企业市场研究部预测,它们的品牌目前可以有20％的潜在市场占有率.另外,在某个月已经购买过该品牌洗涤剂客户中,有15％的人会在在随后的一个月购买其它牌子的洗涤剂,而且这些换用其它品牌的人中又有35 ％的人会在选用竞争品牌的产品.
假设他们的市场占有率Pn％在第n个月满足递推关系：
Pn+1 = 35 + 0.5Pn ,且P0= 20
当n = 1 ,2 ,3和4 ,分别求出Pn的值,并用适当的图表说明.
第二题：
一个容积为V的烧杯底部始终保持体积为V的液体.经过n次用蒸馏水清洗烧杯并倒掉清洗时产生的液体后,烧杯原有的沉淀液体还有多少百分之几剩下?
第三题：
某统计过程中涉及下列步骤Si (i=1 ,2 ,……,6)：
S1：从T＝(x1,x2 ,…..,xn)中选择一个数字；
S2：将这个数字减去10；
S3：将结果平方；
S4：将T中剩余的数字重复步骤S1至S3的计算；
S5：将每一个数字在步骤S3得到的结果全部加起来；
S6：用n除S5中产生的结果；
用标记法将最后的结果以代数方法表述出来.
一个洗涤剂企业要预测自己的未来的销售额.该企业市场研究部预测,它们的品牌目前可以有20％的潜在市场占有率.另外,在某个月已经购买过该品牌洗涤剂客户中,有15％的人会在在随后的一个月购买其它牌子的洗涤剂,而且这些换用其它品牌的人中又有35 ％的人会在选用竞争品牌的产品.
假设他们的市场占有率Pn％在第n个月满足递推关系：
Pn+1 = 35 + 0.5Pn ,且P0= 20
当n = 1 ,2 ,3和4 ,分别求出Pn的值,并用适当的图表说明.
第二题：
一个容积为V的烧杯底部始终保持体积为V的液体.经过n次用蒸馏水清洗烧杯并倒掉清洗时产生的液体后,烧杯原有的沉淀液体还有多少百分之几剩下?
第三题：
某统计过程中涉及下列步骤Si (i=1 ,2 ,……,6)：
S1：从T＝(x1,x2 ,…..,xn)中选择一个数字；
S2：将这个数字减去10；
S3：将结果平方；
S4：将T中剩余的数字重复步骤S1至S3的计算；
S5：将每一个数字在步骤S3得到的结果全部加起来；
S6：用n除S5中产生的结果；
用标记法将最后的结果以代数方法表述出来.