For this case, the first thing we must do is define variables.
We have then:
x: number of blue beads
y: number of red beads
We now write the inequations system:
Answer: a system of linear inequations that represents the situation is:
Based on the information given Terri's Run Rate is $96,000.
<h3>Run rate</h3>
Using this formula
Run rate=Revenue for the Period × Number of months in a year
Where:
Revenue for the Period =$8,000
Number of months in a year=12 months
Let plug in the formula
Run rate=$8,000×12 months
Run rate=$96,000
Inconclusion Terri's Run Rate is $96,000.
Learn more about run rate here:brainly.com/question/16134508
The domain of the graph is less than or equal to 0.
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
--- Standard deviation
Step-by-step explanation:
Given
See attachment for graph
Solving (a): Explain how the standard deviation is calculated.
<u>Start by calculating the mean</u>
To do this, we divide the sum of the products of grade and number of students by the total number of students;
i.e.

So, we have:



Next, calculate the variance using the following formula:

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset
So, we have:



Lastly, take the square root of the variance to get the standard deviation


--- approximated
<em>Hence, the standard deviation is approximately 11.28</em>
Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.