Answer:
Color, favorite pet, genre of music
Step-by-step explanation:
Categorical variables are simply statistical variables which are non - numeric, usually employed in characterization and groupings based on a certain number of fixed attributes, categories. In the options atated above, the categorical variables fall under a heading with a limited and fixed attributes such as color, pet and genre of music. However, options such as number of siblings and profit are purely numeric variables which can take up any numeric digits and allow for direct numeric computation. They are called quantitative variables.
Answer: (4,-4)
y=-4, x=4
Step-by-step explanation:
-4x=4y
4x-8y=12
-8y=-4x+12 Now I can substitute -4x for 4y
-8y=4y+12
-2y=y+12
-3y=12
y=-4
-4x=4y
-4x=4(-4)
x=4
Answer:
Any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Step-by-step explanation:
<u>Interpreting Box Plots</u>
A box plot is used to present the 5-Number summary of a set of data.
The 5-Number summary consists of the following in their order of appearance on the box plot.
- Minimum Value
- First Quartile,

- Median,

- Third Quartile,

- Maximum Value
In the box plot, the following rules applies
- The whisker starts from the minimum value and ends at the first quartile.
- The box starts at the first quartile and ends at the third quartile. There is a vertical line inside the box which shows the median.
- The end whisker starts at the third quartile and ends at the maximum value.
Using these, we interpret the given box plot
A left whisker extends from 1 to 6.
- Minimum Value=1
- First Quartile =6
The box extends from 6 to 16 and is divided into 2 parts by a vertical line segment at 12.
- Median=12
- Thrid Quartile=16
The right whisker extends from 16 to 19.
Therefore any set of data that satisfies the 5-Number summary: 1,6,12,16 and 19 can be represented with the box plot.
Answer:
m∠EGF = 65° and m∠CGF = 115°
Step-by-step explanation:
Given;
∠EFG = 50°
EF = FG
Solution,
In ΔEFG m∠EFG = 50° and EF = FG.
Since triangle is an isosceles triangle hence their base angles are always equal.
∴
Let the measure of ∠EGF be x.
∴ 
Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."
m∠EFG + m∠FEG + ∠EGF = 180

Hence
m∠EGF = 65°
Also 'The sum of angles that are formed on a straight line is equal to 180°."
m∠EGF + m∠CGF = 180°
65° + m∠CGF = 180°
m∠CGF = 180° - 65° = 115°
Hence m∠EGF = 65° m∠CGF = 115°
Answer:
You didn't provide the lines but I graphed it for you so you can match it up
Step-by-step explanation: