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Mashcka [7]
3 years ago
7

Four members from a 45​-person committee are to be selected randomly to serve as​ chairperson, vice-chairperson,​ secretary, and

treasurer. The first person selected is the​ chairperson; the​ second, the​ vice-chairperson; the​ third, the​ secretary; and the​ fourth, the treasurer. How many different leadership structures are​ possible?
Mathematics
1 answer:
wariber [46]3 years ago
6 0

Answer:

3575880

Step-by-step explanation:

We need to use Permutation method,

nPr= \frac{n!}{(n-r)!}

Where n is the sample of size and r the combination considered, so

n=45\\r=4\\45P4= \frac{45!}{(45-4)!}\\45P4 = 3575880

There is 3575880 possibilities to make leadership structures in that committee

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In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is
Lilit [14]

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of  adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

\mu=np=300\times0.077=23.1

\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62

Now, using formula z=\dfrac{x-\mu}{\sigma}, the z-value corresponding to 26 will be :-

z=\dfrac{26-23.1}{4.62}\approx0.63

Using standard distribution table for z , we have

P-value=P(z\geq0.63)=1-P(z

=1-0.7356527=0.2643473\approx0.2643

Hence, the probability that at least 26 in the sample are unemployed  =0.2643

6 0
3 years ago
Slope of (27,2),(38,-15)
andrezito [222]
I'm in college, I honestly don't know what it is but I hope you find it!
3 0
3 years ago
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Dylan made $45,765 and Orlando made $34,715. Both boys worked for 6 months. How much more money did Dylan earn than Orlando per
Ymorist [56]

Answer:

$425

Step-by-step explanation:

45,765 divided by 26 equals 1,760.192307692308

34,715 divided by 26 equals 1,335.192307692308

1,760.192307692308-1,335.192307692308=425

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Solve problem:<br> 8-6•4+10/2
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Step-by-step explanation: Hope this helps

3 0
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Find the volume of the solid. Use 3.14 for π.​
marta [7]

Answer:

<h2><em>vol= 10366.3175in²</em></h2>

<em></em>

Step-by-step explanation:

So this is a cylinder

<h2>formula: π r²h</h2>

R= 8.75in

h=43.12in

So it will be = 3.14x8.75²x43.12

=> 3.14x76.5625x43.12

3.14x 3301.375

<h2><em>10366.3175in²</em></h2>

<em></em>

<em>i think it is correct </em>

<em>.</em>

<em>stay safe</em>

<em>.</em>

<em>have a nice TIME</em>

3 0
3 years ago
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