The differnce of 2 perfect cubes
remember
a³-b³=(a-b)(a²+ab+b²)
so
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:
slope(m)= (9/4) and y intercept =5
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:

Substitute them for their equations:

Solve for <em>x.</em> Subtract 8<em>x</em> from both sides:

Add 1 to both sides:

And divide both sides by 6. Hence:

JL is the sum of JK and KL. Hence:

Since JK = KL, substitute either one for the other:

Substitute JK for its equation:

Since we know that <em>x</em> = 2:

Thus:

Answer:
10 mystery books
Step-by-step explanation:
Animals:
Multiply the total number of books by the fraction of animal books
4/16*16
4 animal books
Adventure:
2 adventure books
Mystery:
Subtract the number of adventure and animal books from the total number of books
16-4-2
10
10 mystery books
Hope this helps! :)