The margin of error of a sample is given by:
B = z(α/2) σ/√n; where B is the margin of error = 25, z(α/2) is the level of significant = 1.96, σ is the standard deviation = 100 and n is the sample size.
25 = 1.96(100/√n)
100/√n = 25/1.96 = 12.76
√n = 100/12.76 = 7.84
n = (7.84)^2 = 61.47
Therefore, the smallest sample size required is 62 seniors.
Answer:
I'll edit my answer when you give more context, but for now, say you knew the values of A and B. Say A is 3 and B is 13. In order to find out C you'll need to subtract A from B; 13-3=10. C=10 in this situation.
Step-by-step explanation:
<u>Step 1: Answer the first question</u>
Area of a triangle → 
Total Area → 
Answer: Option D, 
<u>Step 2: Answer the second question</u>
We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8. We also know that the width is 6 so we multiply 8 by 6 and we add 24. This matches option B
Answer: Option B, 
Answer:
−4x+y+6z
Step-by-step explanation:
Let's simplify step-by-step.
2x+5y−z−6x−4y+7z
=2x+5y+−z+−6x+−4y+7z
Combine Like Terms:
=2x+5y+−z+−6x+−4y+7z
=(2x+−6x)+(5y+−4y)+(−z+7z)
=−4x+y+6z
This is the associative property of addition because the grouping of addends does not change the some no matter where you place the numbers in the parenthesis.
