13
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3
+
2
i
Multiply by
−
3
−
2
i
−
3
−
2
i
to make the denominator of
13
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3
+
2
i
real.
13
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3
+
2
i
−
3
−
2
i
−
3
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2
i
Combine.
13
(
−
3
−
2
i
)
(
−
3
+
2
i
)
(
−
3
−
2
i
)
Expand
(
−
3
+
2
i
)
(
−
3
−
2
i
)
using the FOIL Method.
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13
(
−
3
−
2
i
)
−
3
⋅
−
3
−
3
(
−
2
i
)
+
2
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⋅
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3
+
2
i
(
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2
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)
Simplify.
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13
(
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3
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2
i
)
9
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4
i
2
Simplify each term.
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13
(
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3
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2
i
)
9
+
4
Reduce the expression by cancelling the common factors.
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−
3
−
2
i
Answer:
1038
Step-by-step explanation:
you add 308 and 730
Answer:
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: Having breast cancer.
3.65% of women in their 60s get breast cancer
This means that 
A mammogram can typically identify correctly 85% of cancer cases
This means that 
Probability of a positive test.
85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
The answer is 28.09 g. I hope this helped.