The z-score for 36,000 is (36,000 - 40,000) / (15,000 / √25) = -1.333
The z-score for 42,000 is (42,000 - 40,000) / (15,000 / √25) = 0.6667
P(36,000 < x < 42,000) = P(-1.3333 < z < 0.6667)
P(z < 0.6667) - P(z < -1.3333)
0.7475 - 0.0913
0.6562
<span>Part 1:

option b.
Part 2:

option d
Part 3:

Multiply through by the LCM of 2 and 3 (i.e. 6)

option b
Part 4
x^2-3x-8=x+4

option d
Part 5
Joseph is solving the equation x^2+8x-4=0 using the technique completing the square.
x^2+8x-4=0
x^2+8x+?=4+?
In completeing the square method, you divide the coeficient of x by 2, square the result and add to both sides of the equation.
Therefore, he should add 16 to both sides because (8/2)^2=16.
option d.
</span>
(-b)^2 = (-(-4))^2 = 4^2 = 16