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3 years ago

A group of 5 men are meeting for lunch.

Mathematics

1 answer:

Sladkaya [172]3 years ago

6 0

Tile:

<h2>See the explanation.</h2>

Step-by-step explanation:

(a)

There were total 5 men wearing coats.

5 coats can be returned to 5 men in 5! = 120 ways.

The coats can be returned to the accurate persons only in 1 way.

Hence, the probability that each man gets the correct coat is $\frac{1}{120}$ .

(b)

At the time of returning the first coat, the hostess will have 5 choices and for the second she will have 4 choices.

Hence, in $5\times4 = 20$ ways the hostess can return the 2 coats.

There is only 1 possible case that each of the coats will return to the correct owner.

Hence, the required probability is $\frac{1}{20}$ .

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3 years ago

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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 14901490 and the standard dev

kicyunya [14]

<h2>Answer with explanation:</h2>

Given : A standardized exam's scores are normally distributed.

Mean test score : $\mu=1490$

Standard deviation : $\sigma=320$

Let x be the random variable that represents the scores of students .

z-score : $z=\dfrac{x-\mu}{\sigma}$

We know that generally , z-scores lower than -1.96 or higher than 1.96 are considered unusual .

For x= 1900

$z=\dfrac{1900-1490}{320}\approx1.28$

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$z=\dfrac{1240-1490}{320}\approx-0.78$

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3 years ago

the total cost of a belt and a jacket was $82.78 if the price of the belt was $0.86 less than the jacket what was the price of t

Aloiza [94]

B=bellt price
j=jacket price

b+j=82.78

belt is 0.86 less than jacket
b=j-0.86
add 0.86 to both sides
b+0.86=j
sub
b+b+0.86=82.78
2b+0.86=82.78
minus 0.86 from both sides
2b=81.92
divid both sides by 2
b=40.96

belt=$40.96

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3 years ago

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Need help please

Marta_Voda [28]

Dear Brainly User,

Your answer is 100 g of Au-198 would have a half life of 2.7 day.

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