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.
Substitution
Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.
Step 2: Plug in 2x + 6 into the opposite equation.
2x + 6 = -3x + 16
- 6 - 6
------------------------------
2x = -3x + 10
+ 3x + 3x
------------------------------
5x = 10
------ ------
5 5
x = 2
Step 3: Plug in the x value into either equation.
y = 2(2) + 6
y = 4 + 6
y = 10
The final answer gets expressed as a coordinate pair: (x,y) (2,10)
I hope this helps you :)
The value of the expression 1/√2 + π where the given parameters are π = 3.141 and √2 = 1.414 is 3.848
<h3>How to evaluate the expression?</h3>
The given parameters are
π = 3.141
√2 = 1.414
The expression to evaluate is given as:
1/√2 + π
Start by substituting π = 3.141 and √2 = 1.414 in the expressions 1/√2 + π
1/√2 + π = 1/1.414 + 3.141
Evaluate the quotient
1/√2 + π = 0.707 + 3.141
Evaluate the sum
1/√2 + π = 3.848
Hence, the value of the expression 1/√2 + π where the given parameters are π = 3.141 and √2 = 1.414 is 3.848
Read more about expressions at:
brainly.com/question/723406
#SPJ1
<u>Complete question</u>
By taking π = 3.141 and √2 = 1.414, evaluate 1/√2 + π up to three places of decimals.
Answer:

Step-by-step explanation:

Probability of drawing a heart from one deck:

Therefore, probability of drawing a heart from each of 3 decks:

Answer:
x=7
Step-by-step explanation:
-6x-14=-8x
-6x+8x=14
2x=14
x=7