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ahrayia [7]
3 years ago
15

There are 110 monkeys at the zoo. They each hug every other monkey. How many hugs were there?

Mathematics
2 answers:
Nutka1998 [239]3 years ago
5 0

Answer:

5995 hugs

Step-by-step explanation:

This is a combination problem: we want to make groups of two monkeys, where a pair of monkey 1 and 2 is the same pair of monkey 2 and 1 (it is the same hug). So, if the total number of monkeys at the zoo is 110, we have a combination of 110 choose 2:

C(110,2) = 110! / (2! * (110-2)!) = 110 * 109 / 2 = 5995

So the total number of hugs is 5995

natulia [17]3 years ago
3 0

Answer:

The answer is: 5995 hugs

Step-by-step explanation:

1. The equation H= T*M/2 is used:

2. Where H = Number of hugs

T = Total hugs given by an monkey.

M = Number of monkeys.

3. Now if they are 110 apes, one of them cannot hug himself, then there are 109 the number of hugs given by a monkey.

4. Adding the data to the equation would give that:

H = (109 * 110) / 2

H = 11990 / 2

H = 5995

5. At the zoo, 5995 hugs were given by the 110 monkeys.

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pychu [463]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
Sora was given two data sets, one without an outlier and one with an outlier. Data without an outlier: 108, 113, 105, 118, 124,
gladu [14]

The outlier (61) is at the low end of the data set, but doesn't affect the mean by a lot, so ...

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8 0
2 years ago
Read 2 more answers
Find the 61st term of -12, -28, -44,
Citrus2011 [14]

Answer:

a_{61}=-972

Step-by-step explanation:

<u>Arithmetic Sequences</u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

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a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

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The first term is a1 = -12. Now we calculate the term n=61:

a_{61}=-12+(61-1)(-16)

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2 years ago
Who do I do this problem
Leviafan [203]
You subtract 16 from each side of the equation.
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The equation is                    n + 16 = 9

On the left side, you subtract 16 from (n + 16) and you have 'n'.

On the right side, you subtract 16 from 9 and you have  -7 .

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3 0
3 years ago
Draw a rate table for $7.50 per hour pay rate. Include 1-4,10,40 in your table. Also include (0, for hours too). ?What do you no
vladimir1956 [14]

Answer:

0=0

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Step-by-step explanation:

8 0
2 years ago
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