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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
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
One of the ways of dividing polynomials is by synthetic division
The divisor of the synthetic division is x + 5
<h3>How to determine the divisor of the division</h3>From the question, we understand that:
Entry -5 is on the outside to the left of the shape
The entry represents the zero of the divisor.
Next, we set this entry to the variable (assume the variable is x)
So, we have:
Add 5 to both sides
Hence, the divisor of the synthetic division is x + 5
Read more about synthetic division at: