Answer:
Step-by-step explanation:
Let equal sides of an isosceles triangle = a inches
Base =
inches
Perimeter = 32 inches
a + a +
= 32

Subtract 2 from both sides

a = 12 inches
base = 
= 6 + 2
Base = 8 inches
Corresponding angles- a, d, h, l and s
Alternate interior- c, f, i, o, and t
Same side interior- e, g, k, m, and p
Alternate exterior- n, q, r
• for j and b I’m not sure
Step-by-step explanation:
2 /3 of 12 - d
2/3 * 12 - d
8 - d
Answer:
none of them
Step-by-step explanation:
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.