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3 years ago

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?

1 answer:

7 0

The 5 people can seat in a row in 5! ways
But we need to exclude the ways that ann and bob are seated next to each other which is = 4! * 2!

So, the number of 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

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Another solution:

If ann seated in one of the ends, the number of ways = 3*2

If ann didn't seat in one of the ends , the number of ways = 2*3

So, the total number of ways that can ann, bob be seated = 3*2 + 2*3 = 12

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:

Oliver completed his training work in 50.25 hours

Step-by-step explanation:

we know that

1 day= 24 hours

1 hour=60 minutes

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2 days=2(24)=48 hours

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3 years ago

What is 20-2w^2 when, w= 3

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Answer:

Step-by-step explanation:

Use order of operations PEMDAS

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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]

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Answer:

(1, 4)
(2, 8)
(3, 12)

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 any 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.

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.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

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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}.

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Additional comment

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.

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3 years ago

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Verdich [7]

Answer:

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