What is the expression though?
Answer:
x=4
Step-by-step explanation:
-2(x+2)=-12
x+2=-12/-2
x+2=6
x=6-2
x=4
For this case we define the following variables:
x: Number of party dresses
y: Number of suits
You have 30 hours per week to cut, that is, the first equation is given by:
It is also known that 25 hours per week are available for sewing, that is:
It has a system of two equations with two unknowns, solving we have:
Multiplying the second equation by -1:
Adding up:
Substituting x in the first equation:
Clearing and:
Thus, per week, the designer can produce 5 party dresses and 5 suits working at her maximum capacity.
Answer:
5 Party dresses
5 Suits
Answer:
0.9986
Step-by-step explanation:
- Prob (Machine tool actually fails) = 0.04
- So, Prob (Machine tool actually functions) = 1 - 0.04 = 0.96
- Prob (functional machine tool claimed fail) = 0.08
- So, Prob (functional machine tool claimed functional) = 1- 0.08 = 0.92
- Prob (fail machine tool claimed fail) = 0.97
- So, Prob (fail machine tool claimed functional) = 1- 0.97 = 0.03
Prob A: P [Machine tool indicated (claimed) functional] :- Functional machine tool or fail machine tool claimed functional = (0.96)(0.92) + (0.04)(0.03) = 0.8844
Prob B: P [Machine tool actually function when passed by QAs] = (0.96)(0.92) = 0.8832
Prob (A given B) = P (A & B) / P (A)
= 0.8832 / 0.8844 = 0.9986
