The tree diagram of the problem above is attached
There are four outcomes of the two events,
First test - Cancer, Second Test - Cancer, the probability is 0.0396
First test - Cancer, Second Test - No Cancer, the probability is 0.0004
First test -  No Cancer, Second Test - There is cancer, the probability is 0.0096
First test - No cancer, Second Test - No cancer, the probability is 0.9054
The probability of someone picked at random has cancer given that test result indicates cancer is  

The probability of someone picked at random has cancer given that test result indicates no cancer is 
 
 
        
        
        
Answer: 122°
Step-by-step explanation:
When an angle is supplementary to each other , it means the angle measures to 180°.
Now since one of the two angles is 58°, therefore, the other angle will be
 180° - 58°
 = 122°
 
        
             
        
        
        
Answer:
5x²√2
Step-by-step explanation:
√50
The <em>square root of x^4 is x²</em>.
The <em>square root of 50 is 5√2</em>.
Multiplying those two gives us 5x²√2
 
        
             
        
        
        
Expand
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10