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3 years ago

Determine whether the statements below are true or false.

Mathematics

1 answer:

AnnZ [28]3 years ago

5 0

Answer:

Step-by-step explanation:

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe

ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

$S_n = \frac{n}{2}(n - 1)$

Step-by-step explanation:

Given

For 5 people

$\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}$

Using the given instance of 5 people, the number of handshakes can be represented as:

$(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0$

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

$S_n = \frac{n}{2}{(T_1 + T_n})$

Where

$T_1 = n - 1$ --- The first term

$T_n = 0$ --- The last term

So:

$S_n = \frac{n}{2}(n - 1 + 0)$

$S_n = \frac{n}{2}(n - 1)$

7 0

2 years ago

How many distinguishable permutation are possible with all the letters of the word sequence

Marizza181 [45]

Step-by-step explanation:

hey, hope this helps/ is right :))

8 0

3 years ago

Find the missing probability.

Harrizon [31]

Answer: d

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which situation is best modeled by the inequality g ≤ 13?

Olin [163]

Answer:

You must be no older than 13 to play a game.

Step-by-step explanation:

≤ this sign means equal to or less than in this case it is 13

8 0

3 years ago

Solve for x.7x + 14 – 2x = −x + 12 – x − 19A.x = −3B.x = −1C.x = 1D.x = 3

lara31 [8.8K]

7x+14-2x=-x+12-x-19
collect like terms
7x-2x+X+X+19=12-14
7x+19+2
7x=-21
x-21/7
X=-3

4 0

3 years ago