Answer:
Mean of the data set in the dot plot would be: 3.6
Step-by-step explanation:
As we know that Mean from the dot plot can be obtained by:
- adding the numbers and then
- divide the resulting sum by the number of addends.
Please check the attached figure where the dot plot is also plotted.
From the dot plot, it is clear that
There are 3 dots at 1.
There are 4 dots at 2.
There are 3 dots at 3.
There are 4 dots at 4.
There are 5 dots at 5.
There are 3 dots at 6.
All we have to do is to add the dots and divide the sum by the number of addend dots.
In other words:
There are 3 dots at 1 ⇒ 1+1+1
There are 4 dots at 2 ⇒ 2+2+2+2
There are 3 dots at 3 ⇒ 3+3+3
There are 4 dots at 4 ⇒ 4+4+4+4
There are 5 dots at 5 ⇒ 5+5+5+5+5
There are 3 dots at 6 ⇒ 6+6+6
As there are total 22 dots.
And the sum of all the dots with respect to their plot number = 79
i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79
Thus
Mean of the data set in the dot plot = 79/22
= 3.6
Therefore, Mean of the data set in the dot plot would be: 3.6
Answer:
V = 1077.566 units²
Step-by-step explanation:
Assuming this is a cylinder, the formula is (area of base) × (height)
or (πr²)(h), simply plug-in the given values:
= (π(7)²)(7)
= (153.938)(7)
V = 1077.566 units²
You FOIL
9x^2-15x+21x-35
Combine like terms
9x^2 + 6x - 35
Answer:
you would have $2.98 left
Step-by-step explanation:
$4.59 x 2=9.18
3.00 x 3=9.00
$1.99 x 2=3.98
$9.18+$9.00+$3.98=22.16
$25.00-$22.16 = $2.89
ANSWER
The solution is

<u>EXPLANATION</u>
We have

and

Let us substitute equation (1) in to equation (2). This gives us,

We rewrite this as a quadratic equation as the highest degree is 2.

This implies that

we factor to obtain,



This means,


We substitute this values into any of the above equations, preferably equation (1)
When,
, 
When,
, 
The solution is
