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3 years ago

In a room with 10 people, how many different handshakes are possible?

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

45 handshakes are possible

Tomtit [17]3 years ago

7 0

Answer:

45 handshake

Step-by-step explanation:

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Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls

murzikaleks [220]

Answer:

a) 0.73684

b) 2/3

Step-by-step explanation:

part a)

$P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)}$

Using conditional probability as above:

(A,B,C)

Cases for numerator when:

P( A is 1 and exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1)

= $(\frac{1}{6}* \frac{11}{12}*\frac{1}{4}) + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) = 0.048611111$

Cases for denominator when:

P( Exactly two balls are 1) = P( 1, not 1, 1) + P(1, 1, not 1) + P(not 1, 1 , 1)

$= (\frac{1}{6}* \frac{11}{12}*\frac{1}{4}) + (\frac{1}{6}*\frac{1}{12}*\frac{3}{4}) + (\frac{5}{6}*\frac{1}{12}*\frac{1}{4})= 0.0659722222$

Hence,

$P ( A is 1 / exactly two balls are 1) = \frac{P ( A is 1 and that exactly two balls are 1)}{P (Exactly two balls are one)} = \frac{0.048611111}{0.06597222} \\\\= 0.73684$

Part b

$P ( B = 12 / A+B+C = 21) = \frac{P ( B = 12 and A+B+C = 21)}{P (A+B+C = 21)}$

Cases for denominator when:

P ( A + B + C = 21) = P(5,12,4) + P(6,11,4) + P(6,12,3)

$= 3*P(5,12,4 ) =3* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{96}$

Cases for numerator when:

P (B = 12 & A + B + C = 21) = P(5,12,4) + P(6,12,3)

$= 2*P(5,12,4 ) =2* \frac{1}{6}*\frac{1}{12}*\frac{1}{4}\\\\= \frac{1}{144}$

Hence,

$P ( B = 12 / A+B+C = 21) = \frac{\frac{1}{144} }{\frac{1}{96} }\\\\= \frac{2}{3}$

4 0

3 years ago

8c=5c+21 What would that be

NemiM [27]

To solve for C, you have to get both of the numbers with a C on the same side. So, subtract the 5c from the right side onto the left side.

$8c = 5c + 21\\8c - 5c = 5c - 5c + 21\\3c = 21$

Then, divide by 3 on each side.

$3c = 21\\3c /3 = 21/3\\c = 7$

So, c = 7.

7 0

3 years ago

Read 2 more answers

A department store is having a 15% off sale on all winter coats. You purchase a winter coat for $275. The department store is lo

sergeinik [125]

$275*.15(15%)=41.25 (this is the amount of the discount)

$275-$41.25=$233.75 (cost of jacket after discount)

$233.75* .0725=$16.946(round to $16.95, this is the amount of the sales tax).

If you want to know the total cost after tax just add $16.95 to the discounted price of $233.75. The price you pay for the jacket is $250.70.

8 0

3 years ago

Read 2 more answers