This is a follow-up to www.jiskha.com/questions/1808236/Let-X-denote-the-time-in-hours-needed-to-locate-and-correct-a-problem-in-the-software
So if we take the probability as 0.05 from the left side of the z table, the relavant z value would be -1.64(cause the relevant z value for p(z<=.95)=1.64 and from symmetry)
So as we are finding x such that ,
p(z<=(x-10)/3)=.05
Can we take
-1.64<= (x-10)/3
To solve the equation -1.64 ≤ (x - 10) / 3, you can follow these steps:
1. Multiply both sides of the equation by 3 to eliminate the fraction:
-1.64 * 3 ≤ (x - 10)
2. Simplify the left side of the equation:
-4.92 ≤ (x - 10)
3. Add 10 to both sides of the equation to isolate x:
-4.92 + 10 ≤ x
5.08 ≤ x
Therefore, the inequality becomes 5.08 ≤ x, which means that x is greater than or equal to 5.08.