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marin [14]
2 years ago
6

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:

<u><em></em></u>

  • <u><em>Event A: 1/35</em></u>
  • <u><em>Event B: 1/840</em></u>

<u><em></em></u>

Explanation:

<u>Event A</u>

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

Therefore the<em> probability of Event A</em> 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 <em>four acts </em>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 <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)

Therefore, <em>the probability of Event B</em> 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]
<span>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. </span>
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?<br>A -2.<br>B-1<br> 2<br><br>C 1<br> 2<br>D 2​
pentagon [3]

Answer:

69696969696969696969669696969696969696969669

Step-by-step explanation:

That is the answer sister-in-law

7 0
3 years ago
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