Help Bot- math 2

[Bruno_]

Certain number of pilots are asked which they prefer more, traveling to Asian countries or to European countries, 27 pilots prefer traveling to Asian countries, 22 prefer traveling to Europe while 13 pilots do not like traveling to Asian countries.

A. Draw a diagram of the given condition

B. How many pilots prefer traveling to either Asian or European countries?

 

[🤖]

A. Diagram:

Asian Countries Europe
| |
27 22
| |
------------------------
| |
13 X
| |

In the diagram, the number of pilots who prefer traveling to Asian countries is 27, the number of pilots who prefer traveling to European countries is 22, and the number of pilots who do not prefer traveling to Asian countries is 13. The number of pilots who prefer traveling to European countries but not Asian countries (represented by X) is unknown.

B. To find the number of pilots who prefer traveling to either Asian or European countries, we need to add the number of pilots who prefer traveling to Asian countries and the number of pilots who prefer traveling to European countries:

27 + 22 = 49

Therefore, there are 49 pilots who prefer traveling to either Asian or European countries.

 

[Bruno_]

A. Diagram:

Asian Countries Europe
| |
27 22
| |
------------------------
| |
13 X
| |

In the diagram, the number of pilots who prefer traveling to Asian countries is 27, the number of pilots who prefer traveling to European countries is 22, and the number of pilots who do not prefer traveling to Asian countries is 13. The number of pilots who prefer traveling to European countries but not Asian countries (represented by X) is unknown.

B. To find the number of pilots who prefer traveling to either Asian or European countries, we need to add the number of pilots who prefer traveling to Asian countries and the number of pilots who prefer traveling to European countries:

27 + 22 = 49

Therefore, there are 49 pilots who prefer traveling to either Asian or European countries.

Identity whether the given relation is a Function or Not.

If Relation alone = write R
If it is a Function = write F

1. Ordered pairs (x,y)1,2),(3,5),(5,-2),(3,6),(10,15),(7,0)
2. A parabola opening to the right
3. A circle
4. A line sloping upward right
5. The relation described by the equation y=/x/
6. The relation described by the equation y²=5x-3y
7. An ellipse
8. A parabola opening downward
9. Ordered pairs (x,y)1,3),(2,3),(5,3),(-12,3)
10. The relation described by the equation y=√x+5

 

[🤖]

Identity whether the given relation is a Function or Not.

If Relation alone = write R
If it is a Function = write F

1. Ordered pairs (x,y)1,2),(3,5),(5,-2),(3,6),(10,15),(7,0)
2. A parabola opening to the right
3. A circle
4. A line sloping upward right
5. The relation described by the equation y=/x/
6. The relation described by the equation y²=5x-3y
7. An ellipse
8. A parabola opening downward
9. Ordered pairs (x,y)1,3),(2,3),(5,3),(-12,3)
10. The relation described by the equation y=√x+5

To determine whether each given relation is a function or not, we need to check if each input (x-value) is associated with only one output (y-value).

1. Ordered pairs (x,y): (1,2),(3,5),(5,-2),(3,6),(10,15),(7,0)
- This is a function (F) because each x-value is associated with only one y-value.

2. A parabola opening to the right
- This is not a function (R) because for a given x-value, there can be multiple y-values.

3. A circle
- This is not a function (R) because for a given x-value, there can be multiple y-values.

4. A line sloping upward right
- This is a function (F) because each x-value is associated with only one y-value.

5. The relation described by the equation y = |x|
- This is a function (F) because each x-value is associated with only one y-value.

6. The relation described by the equation y² = 5x - 3y
- This is not a function (R) because for a given x-value, there can be multiple y-values.

7. An ellipse
- This is not a function (R) because for a given x-value, there can be multiple y-values.

8. A parabola opening downward
- This is not a function (R) because for a given x-value, there can be multiple y-values.

9. Ordered pairs (x,y): (1,3),(2,3),(5,3),(-12,3)
- This is a function (F) because each x-value is associated with only one y-value.

10. The relation described by the equation y = √x + 5
- This is a function (F) because each x-value is associated with only one y-value.

In summary:
1. F
2. R
3. R
4. F
5. F
6. R
7. R
8. R
9. F
10. F

 

[Bruno_]

A. Diagram:

Asian Countries Europe
| |
27 22
| |
------------------------
| |
13 X
| |

In the diagram, the number of pilots who prefer traveling to Asian countries is 27, the number of pilots who prefer traveling to European countries is 22, and the number of pilots who do not prefer traveling to Asian countries is 13. The number of pilots who prefer traveling to European countries but not Asian countries (represented by X) is unknown.

B. To find the number of pilots who prefer traveling to either Asian or European countries, we need to add the number of pilots who prefer traveling to Asian countries and the number of pilots who prefer traveling to European countries:

27 + 22 = 49

Therefore, there are 49 pilots who prefer traveling to either Asian or European countries.

Can you redraw the diagram of the given condition

 

[🤖]

Can you redraw the diagram of the given condition

Certainly! Here is the redrawn diagram of the given condition:

Asian Countries: 27
                                   -------------------
Europe: 22
                                  -------------------
Not Asian Countries: 13

In the diagram, the number of pilots who prefer traveling to Asian countries is 27, the number of pilots who prefer traveling to European countries is 22, and the number of pilots who do not prefer traveling to Asian countries is 13.