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IgorLugansk [536]
3 years ago
6

david is president of the student council. When the leadership team met for the for the first time he asked each person to shake

everyone else's hand. If there were six people at the meeting, how many handshakes were made.
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0
15 is (hopefully) the correct answer!

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a bag contains 5 red m&ms, 4 green m&ms, and 3 blue m&ms. what is the ratio of green to red m&ms? what is the ra
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what is the ratio of green to red m&ms

4:5

what is the ratio of green m&ms to the total number m&ms

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2 years ago
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A certain disease occurs most frequently among older women. Of all age groups, women in their 60s have the highest rate of breas
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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:

P(A_{n}|X)=\frac{P(X|A_{n})P(A_{n})}{\sum\limits^{n}_{i=1}{P(X|A_{i})P(A_{i})}}

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:

P(B) = 0.0312\\P(+|B)=0.81\\P(+|B^{c})=0.92

Compute the value of P (B|+) using the Bayes' theorem as follows:

P(B|+)=\frac{P(+|B)P(B)}{P(+|B)P(B)+P(+|B^{c})P(B^{c})}

            =\frac{(0.81\times 0.0312)}{(0.81\times 0.0312)+(0.92\times (1-0.0312)}\\

            =\frac{0.025272}{0.025272+0.891296}

            =0.02757\\\approx0.0276

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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Answer

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Explanation:

Given the expression

tan 32

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