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3 years ago

Please show steps. explantion would be good too

Mathematics

2 answers:

kati45 [8]3 years ago

5 0

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ Assuming the roles will be filled in order, this is how you would figure it out

(e.g. role 1 is assigned, then role 2 is assigned)

There would be 9 possible candidates for the first position

Once that position has been decided, the second position will have 8 possible candidates

FOr the third position, there will be 7 possible candidates

6 possible candidates for the fourth position

5 possible candidates for the fifth position

To find all the different possibilities, you need to multiply the number of possible candidates for each role together:

9 x 8 x 7 x 6 x 5 = 15120

It would be option B

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

vredina [299]3 years ago

4 0

Hey there!

"A student government has <u>5</u> <u>positions</u> to fill and there are<u> 9 candidates</u> running for any one of the positions. How many different possibilities are there for the <u>5 positions</u>?"

<em>Highlight your key terms (this step helps you understand the question/ word problem better). We are going a little bit downward. until we find out what we're going to do to solve this equation :)</em>
We have about 9 possible candidates for your "First position"
Your "second position" would probably most likely going to be 8, I believe
For your "third position" you would have it as 7
For your "fourth position" you would most likely have about 6
And last but not least for your "fifth position" the amount of candidates would most likely be 5
<em>Now that we have that portion out of the way, let's solve for your answer! </em>

- $\bold{Your \ steps\downarrow}$

$\bold{9\times8\times7\times6\times5}$
$\bold{9\times8=72}$
$\bold{72\times7\times6\times5}$
$\bold{72\times7=504}$
$\bold{504\times6\times5}$
$\bold{504\times6=3,024}$
$\bold{3,024\times5=15,120}$
$\boxed{\boxed{\bold{Your \ Answer:15,120}}}\checkmark$

Good luck on your assignment and enjoy your day!

~ $\bold{\frak{LoveYourselfFirst:)}}$

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Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that comput

Andrej [43]

Answer:

a)There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

b)There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

c)There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

Step-by-step explanation:

The binomial probability is the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

It is given by the following formula:

$P = C_{n,x}.p^{n}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of a success.

In this problem, a success is being concerned that employers are monitoring phone calls.

53% of adults are concerned that employers are monitoring phone calls, so $p = 0.53$

(a) Out of four adults, none is concerned that employers are monitoring phone calls.

Four adults, so $n = 4$ .

Is the probability of 0 successes, so x = 0.

$P = C_{n,x}.p^{n}.(1-p)^{n-x}$

$P = C_{4,0}.(0.53)^{0}.(0.47)^{4}$

$P = 0.0488$

There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

(b) Out of four adults, all are concerned that employers are monitoring phone calls.

Four adults, so $n = 4$ .

Is the probability of 4 successes, so x = 4.

$P = C_{n,x}.p^{n}.(1-p)^{n-x}$

$P = C_{4,0}.(0.53)^{4}.(0.47)^{0}$

$P = 0.0789$

There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

(c) Out of four adults, exactly two are concerned that employers are monitoring phone calls.

Four adults, so $n = 4$ .

Is the probability of 4 successes, so x = 2.

$P = C_{n,x}.p^{n}.(1-p)^{n-x}$

$P = C_{4,2}.(0.53)^{2}.(0.47)^{2}$

$P = 0.3723$

There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

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What is 33.153 rounded to the nearest tenth?

EastWind [94]

Answer:

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2 years ago

If the class contains 11 boys and 14 girls, what is the probability of calling on a girl?

Ronch [10]

Answer: P (girl) = 14 / 25

Concept:

Here, we need to know the idea of probability.

Probability is a measure of the likelihood of an event to occur.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Number of boys = 11

Number of girls = 14

Total number of people = 11 + 14 = 25

P (girl) = Favorable / Total (refer to the attachment)

P (girl) = 14 / 25

Hope this helps!! :)

Please let me know if you have any questions

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3 years ago