A shipping container contains seven complex electronic systems. Unknown to the purchaser, two are defective. Two of the seven ar
1 answer:
Answer:
Explanation:
There are only two mutually exclusive possibilities for each complex electronic system: being <em>defective</em> or being <em>not defective</em>:
- Number of complex electronic systems: 7
- Nmber of defective systems: 2
- Number of not defective systems: 5
<em>Probability </em>that no defective systems are found in the sample is the equal to the probability of selecting them consecutively without replacement and finding each one is not defective:
- Porbability the first is not defective × probability the second is not defective
- 5/7 × 4/6 = 20/42 = 10/21
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Answer:
x = 5 or x = 1
Step-by-step explanation:
Absolute Value Equation entered :
3|3x-9|=18
Step by step solution :
Step 1: Rearrange this Absolute Value Equation
Absolute value equalitiy entered
3|3x-9| = 18
Step 2: Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is 3|3x-9|
For the Negative case we'll use -3(3x-9)
For the Positive case we'll use 3(3x-9)
Step 3: Solve the Negative Case
-3(3x-9) = 18
Multiply
-9x+27 = 18
Rearrange and Add up
-9x = -9
Divide both sides by 9
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Negative Case
Step 4: Solve the Positive Case
(3x-9) = 18
Multiply
9x-27 = 18
Rearrange and Add up
9x = 45
Divide both sides by 9
x = 5
Which is the solution for the Positive Case
Step 5: Wrap up the solution
x=1
x=5
Solutions on the Number Line
Two solutions were found :
x=5
x=1
