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andreev551 [17]
3 years ago
5

Help pls this is for my math test.

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

Step-by-step explanation:

.

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Is it possible for a simple, connected graph that has n vertices all of different degrees? Explain why or why not.
ryzh [129]

Answer:

It isn't possible.

Step-by-step explanation:

Let G be a graph with n vertices. There are n possible degrees: 0,1,...,n-1.

Observe that a graph can not contain a vertice with degree n-1 and a vertice with degree 0 because if one of the vertices has degree n-1 means that this vertice is adjacent to all others vertices, then the other vertices has at least degree 1.

Then there are n vertices and n-1 possible degrees. By the pigeon principle there are two vertices that have the same degree.

8 0
2 years ago
If you are given the following stem and leaf display and asked to construct a frequency distribution chart, what would be the wi
Nuetrik [128]

Answer:

Width of intervals: 8

Step-by-step explanation:

We first look at how data is represented in a stem-leaf diagram.

Any number of the left (before -) is the stem and all numbers on right (after -) are the leaves. Each combination of stem and leaf represents one number. For example: 1 - 332 represents: 13, 13, 12.

Our data is as follows:

13, 13, 12, 24, 25, 31, 31, 35, 37, 42, 43, 41, 52, 51, 51, 52

To calculate the width of the frequency distribution chart, we have the following formula:

Class\ width = \frac{Range}{Number\ of\ classes}

The range of any data set = Maximum value in the data set - Minimum value in the data set

Maximum value in this case as seen from the data is 52 and minimum is 12.

Range = 52 - 12 = 40

Since we had only 5 stems in the data, we shall use that as the number of classes required in the frequency distribution chart.

Class\ width = \frac{40}{5}  = 8

Hence, the class width in this data set will be 8.

To make the intervals, we begin from the minimum value and add 8 to it. The intervals will be:

12 - 20

20 - 28

28 - 36

36 - 44

44 - 52

Observe, that all the values of the stem lie within each interval.

For example, there are 3 values for stem 1: 12, 13, 13 and each lie in the first interval 12 - 20.

Next, the values of stem 2 are 24 and 25. Each of these value lie in the second interval 20 - 28; and henceforth.

8 0
3 years ago
If x=14, what is the value of 3(x + 5)?
gladu [14]

Answer:

57

Step-by-step explanation:

parentheses first then multiply by 3

5 0
2 years ago
What is the area of the triangle? Use the formula: Area of a triangle = 1/2bh.How do you find the area of a triangle?
velikii [3]

9514 1404 393

Answer:

  4 square inches

Step-by-step explanation:

The only triangle in the figure is 4 in wide and 2 in high. Using these values in the given formula, we find the area to be ...

  A = 1/2bh

  A = (1/2)(4 in)(2 in) = 4 in²

The area of the triangle is 4 square inches.

4 0
2 years ago
Como realizar esa operación matemática
LenaWriter [7]

Simplemente necesitas restar tres de siete y dejar tu denominador como 4. Tu respuesta es 4/4, que es lo mismo que 1.

5 0
2 years ago
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