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2 years ago

A pie is split into 3 equally sized

Mathematics

1 answer:

kenny6666 [7]2 years ago

3 0

the total area of the pie is 237

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There are 7 acts in a talent show.

lara31 [8.8K]

Answer:

Event A: 1/35

Event B: 1/840

Explanation:

Event A

For the event A, the order of the first 4 acts does not matter.

The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.

Thus, the number of ways that the first four acts can be scheduled is:

$C(m,n)=\dfrac{m!}{n!(m-n)!}$

$C(7,4)=\dfrac{7!}{4!(7-4)!}=\dfrac{7!}{4!(3)!}=35$

And the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order, is 1: C(4,4).

Therefore the probability of Event A is:

$P(A)=1/35$

Event B

Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.

The number of ways in which four acts can be scheculed when the order matters is:

$P(m,n)=\dfrac{m!}{(m-n)!}$

$P(m,n)=\dfrac{7!}{(7-4)!}=P(m,n)=\dfrac{7!}{4!}=840$

The number of ways the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth is 1: P(4,4)

Therefore, the probability of Event B is:

$P(B)=1/840$

7 0

4 years ago

A swimming pool at a park measures 9.75 meters by 7.2 meters the area of the playground is one and half times that of the swimmi

ElenaW [278]

9.75 x 7.2 = 70.2
Swimming Pool Area: 70.2
The Park Area: 70.2 x 1.5 = 105.3
Total Area of both Swimming Pool & Park area: 70.2 + 105.3 = 175.5
Final Answer: 175.5

8 0

3 years ago

Four people in a room. Each shakes hands with each of the others once. How many handshakes are there?

storchak [24]

The correct answer is 6.

The clearest way to determine this is by creating a table of possible hand shaking. If we label the people A-D, the following are the ways they can be combined:
AB
AC
AD
BC
BD
CD

There are no other combinations.

7 0

3 years ago

Read 2 more answers

(24) $550 at 3% for 3 years

andrew11 [14]

550 * 1.03 = 566.5 (Year 1)

566.5 * 1.03 = 583.495 (Year 2)

583.495*1.03 = 600.99985 (Year 3)

You can safely assume this is your answer: $601.00

7 0

3 years ago

(-13) (-4) işleminin sonucu kaçtır? A -2. B-1 2 C 1 2 D 2

pentagon [3]

Answer:

69696969696969696969669696969696969696969669

Step-by-step explanation:

That is the answer sister-in-law

7 0

3 years ago