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Nikolay [14]
3 years ago
15

A new community organization has 12 members. In how many ways can it elect a president, a vice president, and a secretary from a

mong its members if no member may hold more than one office?
Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer:

The number of ways he can elect the president,the vice President and the secretary is 1320 ways

Step-by-step explanation:

This is a permutation question.

Any of the 12 members can be the President , when this is done, any of the remaining 11 can be the vice president ,when this is done, any of the remaining 10 can be the secretary.

The required number of ways is;

12*11*10= 1320ways

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Step-by-step explanation:

6 0
3 years ago
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A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46
Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = <u><em>Amount of peanut butter in a jar</em></u>

The z-score probability distribution for the normal distribution is given by;

                                Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 454 g

           \sigma = standard deviation = 10.2 g

So, X ~ Normal(\mu=454 , \sigma^{2} = 10.2^{2})

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( \frac{X-\mu}{\sigma} > \frac{466-454}{10.2} ) = P(Z > 1.18) = 1 - P(Z \leq 1.18)

                                                                  = 1 - 0.881 = <u>0.119</u>

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0
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I need help on this one, I’ll really appreciate your hard work! :)
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I believe it’s 1 lol
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I need help asap :):)):):
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Answer:

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