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.
Answer:
x = 90°
y = 43°
Step-by-step explanation:
We know that one angle equals 47°.
The two triangles are right triangles, so that makes x = 90°.
To find y, we add 90 + 47.
That would give us 137°.
All triangles add up to 180°.
180 - 137 = 43.
43° is the answer.
The correct answer is 12. Hope this helps.
Answer:
<h2>C. 153</h2>
<em>Hope</em><em> this</em><em> helps</em>
<em>shshsgshsh</em>
Answer:
H is not a solution
Step-by-step explanation:
plug each point into the equation and see which one does not work.
F(-3,6): 4(-3) + 3(6) = 6, -12 + 18 = 6, 6=6
G(0,2): 4(0) + 3(2) = 6, 6=6
H(1,-2): 4(1) + 3(-2) = 6, 4 - 6 =6, -2=6
J(3,-2): 4(3) + 3(-2) = 6, 12 -6 = 6, 6=6
H is not a solution