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kirza4 [7]
2 years ago
10

Does somebody knows how to do this problem?

Mathematics
1 answer:
pshichka [43]2 years ago
6 0

Answer:

Angle Q is 51°

Angle R is 96°

(x=5 and the exterior angle is 84°)

Step-by-step explanation:

Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.

17x - 1 = 33 + 10x + 1

Get all the x's on one side of the equation.

17x-10x - 1 = 33 + 10x-10x+1

7x - 1 = 33 + 1

7x - 1 = 34 add 1 to both sides

7x = 35 divide by 7

7x/7 = 35/7

x = 5

Not finished ! Find Angle Q

10x+1 = 10(5)+1= 51°

Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°

33° + 51° + R = 180°

84° + R = 180°

R = 96°

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Suppose there was a cancer diagnostic test was 95% accurate both on those that do and those do not have the disease. If 0.4% of
Musya8 [376]

Complete Question

Suppose there was a cancer diagnostic test was 95% accurate both on those that do and 90% on  those do not have the disease. If 0.4% of the population have cancer, compute the probability that a particular individual has cancer, given that the test indicates he or she has cancer.

Answer:

The probability is  P(C | A) =  0.0042

Step-by-step explanation:

From the question we are told that

The probability that the test was accurate given that the person has cancer is  

      P(A |  C)  = 0.95

The probability that the test was accurate given that the person  do not have cancer is  

      P(A |  C')  =  0.90

The probability that a person  has  cancer is  

      P(C) =  0.004

Generally the probability that a person do not have cancer is  

       P(C')  =  1- P(C)

=>    P(C')  =  1- 0.004

=>    P(C')  =  0.996

Generally the  probability that a particular individual has cancer, given that the test indicates he or she has cancer is according to  Bayes's theorem evaluated as

     P(C | A) =  \frac{P(A |  C) * P(C)}{P(A|C) * P(C) + P(A| C') * P(C')}

=>  P(C | A) =  \frac{ 0.95 * 0.004 }{ 0.95 * 0.004 + 0.90  * 0.996}

=>  P(C | A) =  0.0042

   

7 0
3 years ago
Which is a good comparison of the estimated sum and the actual sum of 7 9/12 + 2 11/12
Verizon [17]
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3 years ago
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cricket20 [7]

Answer:

0.912

Step-by-step explanation:

<em>The complete question is attached.</em>

<em />

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P(Plan A) would be the total people for plan A (add up column of Plan A) divided by total number of people [add up all the numbers].

Looking at the table, we have:

P (Plan A) = 38/68

Now,

P(40-49 Group) can be found by adding up the row of 40-49 age group and dividing by the total. So, we have:

P(40 - 49 Group) = 24/68

Now, adding up both:

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7 0
3 years ago
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