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netineya [11]
1 year ago
6

in how many different ways can 8 people be seated in a circle if 3 people insist on sitting next to each other?

Mathematics
1 answer:
Sidana [21]1 year ago
7 0

The number of ways can 8 people be seated in a circle if 3 people insist on sitting next to each other is 56 ways.

<h3>How to illustrate the information?</h3>

Combinations are also referred to as selections. Combinations implies the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

nCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time.

This will be:

= 8! / (8 - 3!) 3!

= 8! / 5! 3!

= 8 × 7 × 6 / 3 × 2

= 5

There can be 56 ways.

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

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In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first te
Elanso [62]

Answer:

Predicted final score of Josh = 62.5

Step-by-step explanation:

The linear regression relationship has been established between the final-exam score and  the score on the first test

The relation ship is represented by a linear equation -

y = 10 + 0.75 x\\

Where

x= score on the first test

Y= final-exam score

Substituting the value of x in above equation we will get -

Y = 10 + 0.75 * 70\\Y = 10 + 52.5\\Y = 62.5

Predicted final score of Josh = 62.5

6 0
3 years ago
Helpppppppppppppppppppppppppppppp
ziro4ka [17]
Ha. That looks alot like i-ready. (i-ready sucks butt.)

But the horror that is i-ready aside, your answer is the third one : The proportion of grandparents that feel safe entering their account information online is 0.32.

32% converted to a decimal is 0.32, and 68% converted to a decimal is 0.68. That would mean that the proportion for grandparents that feel safe doing so is 0.32, and the number of grandparents that don't feel safe doing so is 0.68.
8 0
3 years ago
Find the prime factorization of each number
In-s [12.5K]
   58               212                     2800                900
  /    \              /    \                  /            \              /  \
29    2          2    106           700          4           3  300 
                          /    \          /      \        /  \              /    \  
                        2     53     70     10    2   2          3     100  
                                        /  \     /   \                            /   \ 
                                      7 10   5   2                         2    50
                                         /  \                                         /  \
                                       5    2                                     5  10
                                                                                        /   \ 
                                                                                      5    2
The prime factors are in bold. 
3 0
3 years ago
У - 6x = ||<br> -77<br> - 2x-3y=-7
Maksim231197 [3]

Answer:

<h2>x= 37/16</h2><h3>y=199/8</h3>

Step-by-step explanation:

1....y=11+6x

-77-2x+3y=-7

replace y by ..1..

so   -77-2x+3(11+6x)=-7

-77-2x+33+18x=-7

-44+16x=-7

16x=37

y=11+6x

replace x by 37/16

y=11+6*37/16

y=199/8

6 0
3 years ago
Examine the system of equations.
stiks02 [169]

By substitution,

1.5x - 6 = -4.5x + 21

6x = 27

x = 4.5

Hence, y = 1.5(4.5) - 6 = 0.75

8 0
3 years ago
Read 2 more answers
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