The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers?
2 answers:
Answer: <em>Please note the number of the order may differ.</em>
= 18
= 9
Step-by-step explanation:
We will write mathematical equations to represent the situation. Let be the first number and
be the second.
-> The sum of two numbers is 27.
+
= 27
-> One number is 2 times as large as the other.
= 2 *
Now, we will solve it as a system of equations.
+
= 27
(2 * ) +
= 27
3 * = 27
= 9
-----------
= 2 *
= 2 * (9)
= 18
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Answer:
The probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.
Step-by-step explanation:
Let a set be events that have occurred be denoted as:
S = {A₁, A₂, A₃,..., Aₙ}
The Bayes' theorem states that the conditional probability of an event, say <em>A</em>ₙ given that another event, say <em>X</em> has already occurred is given by:
The disease Breast cancer is being studied among women of age 60s.
Denote the events as follows:
<em>B</em> = a women in their 60s has breast cancer
+ = the mammograms detects the breast cancer
The information provided is:
Compute the value of P (B|+) using the Bayes' theorem as follows:
Thus, the probability that a woman in her 60s has breast cancer given that she gets a positive mammogram is 0.0276.
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