Answer:
• x = 0
• x = b/a
Step-by-step explanation:
Subtract the term on the right and factor:
ax^2 -bx = 0
x(ax -b) = 0
The zero product rule lets you write this as two equations:
x = 0
ax -b = 0
The latter can be rearranged to ...
ax = b
x = b/a
Of the choices shown, the equations for x are ...
x = 0
x = b/a
Answer:
The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches
Step-by-step explanation:
To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.
For significance value of 0.5, z = 0
We are given;
μ = 68.3 in
σ = 2.5 in
Thus from z = (x - μ)/σ, we have;
0 =(x - 68. 3)/2.5
0 = x - 68. 3
x = 68.3 inches for men max
Similarly, for significance value of 0.05, z = -1.645
Thus to find x;
-1.645 = (x - 68. 3)/2.5
-4.1125 = x - 68.3
x = 68.3 - 4.1125
x = 64.1875 inches for men min