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Eva8 [605]
3 years ago
8

In how many ways can ann, bob, chuck, don and ed be seated in a row such that ann and bob are not seated next to each other?

Mathematics
1 answer:
balandron [24]3 years ago
7 0
The 5 people can seat in a row in 5! ways
But we need to exclude the ways <span>that ann and bob are seated next to each other which is = 4! * 2!
</span>
So, the number of <span>ways can ann, bob, chuck, don and ed be seated in a row such that ann and bob are not seated next to each other = 5! - 4! * 2! = 72
</span>
<span>=====================================================
</span>
<span>Another solution:
</span>
<span>If ann seated in one of the ends, the number of ways = 3*2
</span>
<span>If ann didn't seat in one of the ends , the number of ways = 2*3
</span>
So, the total number of <span>ways that can <span>ann, bob be seated = 3*2 + 2*3 = 12
</span></span>
The remaining persons can seat with a number of ways = 3! = 6
So, the total ways that the five persons can seat = 12*6 = 72
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Answer:

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Step-by-step explanation:

we know that

1 day= 24 hours

1 hour=60 minutes

we have

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2 days=2(24)=48 hours

<u><em>Convert minutes to hour</em></u>

15 min=15(1/60)=1/4=0.25 h

so

2 days, 2 h, and 15 min=(48)+(2)+(0.25)=50.25 h

therefore

Oliver completed his training work in 50.25 hours

3 0
3 years ago
What is <br><br>20-2w^2<br><br>when, w= 3​
kow [346]

Answer:

2

Step-by-step explanation:

Use order of operations PEMDAS

3^2 = 9 * 2 = 18

20-18= 2

7 0
3 years ago
The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36
Charra [1.4K]

9514 1404 393

Answer:

  • (1, 4)
  • (2, 8)
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Step-by-step explanation:

The ratios all have ...

  first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

__

You plot these (x, y) points the same way you plot <em>any</em> point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

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Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

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7 0
3 years ago
Find the range for the given domain: {-2, -1, and 0} and the function is y= 3x^2
likoan [24]

Answer:

  {0, 3, 12}

Step-by-step explanation:

Put the domain values in the function and evaluate. The result is the range values.

  y = 3{-2, -1, 0}^2 = 3{4, 1, 0} = {12, 3, 0}

For the given domain, the range is {0, 3, 12}.

_____

<em>Additional comment</em>

Neither the domain nor range values need to be put in any particular order. However, it is often convenient for them to be arranged from least to greatest.

6 0
3 years ago
Find the length of . Use that length to find the length of .
Verdich [7]

Answer:

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Step-by-step explanation:

we are given to find length of CD

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CD=ACcot(25)

now, we can plug AC=5

CD=5cot(25)

CD=10.7

4 0
3 years ago
Read 2 more answers
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