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Triss [41]
1 year ago
9

Suppose that a 2 by 10 rectangular grid of seats is filled with people. On the

Mathematics
1 answer:
weeeeeb [17]1 year ago
5 0

688,747,536 ways in which the people can take the seats.

<h3></h3><h3>How many ways are there for everyone to do this so that at the end of the move, each seat is taken by exactly one person?</h3>

There is a 2 by 10 rectangular greed of seats with people. so there are 2 rows of 10 seats.

When the whistle blows, each person needs to change to an orthogonally adjacent seat.

(This means that the person can go to the seat in front, or the seats in the sides).

This means that, unless for the 4 ends that will have only two options, all the other people (the remaining 16) have 3 options to choose where to sit.

Now, if we take the options that each seat has, and we take the product, we will get:

P = (2)^4*(3)^16 = 688,747,536 ways in which the people can take the seats.

If you want to learn more about combinations:

brainly.com/question/11732255

#SPJ!

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How much more is 4/6 Than 5/6
Sveta_85 [38]
5/6 is 1/6 more than 4/6. All you had to do is subtract 4/6 from 5/6 to get <u><em>1/6</em></u>.
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3 years ago
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Sophia and her friends are planning to spend the day at the zoo. It will cost her $12.75 for admission and $2.50 for each ticket
lukranit [14]
Sofia would have $34.75 left
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3 years ago
Kamrynn is looking at her five quiz scores of 96 90 94 93 and 90. Determine the mean rounded to the nearest tenth median mode an
Romashka [77]

Answer:

Mean = 90, Median = 93, Mode = 90, Range = 6

Step-by-step explanation:

Mean:

96 + 90 + 94 + 93 + 90 = 463

463 ÷ 5 = 92.5

92.5 to nearest tenth = 90

Mean = 90

Median:

<em>90, 90</em>, <u>93</u>, <em>94 ,96</em>

Median = 93

Mode

<em>96, </em><u>90</u><em>, 94, 93, </em><u>90</u><em> </em>

Mode = 90

Range:

96 - 90 = 6

Range = 6

8 0
2 years ago
If the ratio of blue marbles to red is 9:4 what is possible number of blue and red marbles in the jar
LuckyWell [14K]

Answer:

13

Step-by-step explanation:

13 right? all ya gotta do is add em together right?

5 0
2 years ago
Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need
Archy [21]

Method 1:

\begin{array}{ccc}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}\\\\1\dfrac{1}{2}=\dfrac{3}{2}\ \text{cup of corn}&-&x\ \text{cup of water}\end{array}\qquad\text{cross multiply}\\\\\\\dfrac{1}{4}\cdot x=\dfrac{3}{2}\cdot\dfrac{1}{2}\\\\\dfrac{1}{4}x=\dfrac{3}{4}\qquad\text{multiply both sides by 4}\\\\\boxed{x=3}

<h3>Answer: Henry will need 3 cups of water.</h3>

Method 2:

\begin{matrix}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}&|\text{multiply both sides by 2}\\\\\dfrac{1}{2}\ \text{cup of corn}&-&1\ \text{cup of water}&|\text{multiply both sides by 2}\\\\1\ \text{cup of corn}&-&2\ \text{cup of water}&|\end{matrix}

\begin{matrix}\left(\dfrac{1}{2}+1\right)\ \text{cups of corn}&-&(1+2)\ \text{cups of water}\\\\1\dfrac{1}{2}\ \text{cups of corn}&-&3\ \text{cups of water}\end{matrix}

<h3>Answer: Henry will need 3 cups of water.</h3>
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3 years ago
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