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attashe74 [19]
2 years ago
11

A radioactive element decays at a rate of 5.25% annually. There are 35 grams of the substance

Mathematics
1 answer:
Temka [501]2 years ago
8 0

Answer:

18.32 gm

Step-by-step explanation:

= 35 ( 1-.0525)^12 = 18.32 gm remain

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In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior m
givi [52]

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

<em>4 students are to be selected from senior members while 2 from junior members;</em>

The number of ways is calculated as thus;

<em>Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members</em>

<em />Ways = ^{10}C_4 * ^{12}C2

Ways = \frac{10!}{(10-4)!4!)} * \frac{12!}{(12-2)!2!)}

Ways = \frac{10!}{(6)!4!)} * \frac{12!}{(10)!2!)}

Ways = \frac{10 * 9 * 8 * 7 *6!}{(6! * 4*3*2*1)} * \frac{12*11*10!}{(10!*2*1)}

Ways = \frac{10 * 9 * 8 * 7}{4*3*2*1} * \frac{12*11}{2*1}

Ways = \frac{5040}{24} * \frac{132}{2}

Ways = 210 * 66

Ways = 13860

<em>Hence, the number of ways is 13860 ways</em>

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