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lyudmila [28]
3 years ago
12

A test for tuberculosis was given to 1000 subjects, 8% of whom were known to have tuberculosis. For the subjects who had tubercu

losis, the test indicated tuberculosis in 90% of the subjects, was inconclusive for 7%, and negative for 3%. For the subjects who did not have tuberculosis, the test indicated tuberculosis in 5%, was inconclusive for 10%, and was negative for the remaining 85%. What is the probability of a randomly selected person having tuberculosis given that the test indicates tuberculosis
Mathematics
1 answer:
AlladinOne [14]3 years ago
5 0

Answer:

the probability is 9/71 ( 12.67%)

Step-by-step explanation:

defining the event Te= the test indicates tuberculosis , then the probability is:

P(Te)= probability of choosing a subject that has tuberculosis * probability that the test indicates tuberculosis given that a subject with tuberculosis was chosen + probability of choosing a subject that has not tuberculosis * probability that the test indicates tuberculosis given that a subject that has not tuberculosis was chosen = 8/1000 * 90/100 + 992/1000 * 5/100 = 0.0568

After this,  we can use the theorem of Bayes for conditional probability. Then defining the event Tu= choosing a subject that has tuberculosis, we have

P(Tu/Te)= P(Tu∩Te)/P(Te) = 8/1000 * 90/100 / 0.0568 = 9/71 ( 12.67%)

where

P(Tu∩Te) = probability that a subject with tuberculosis is chosen and the test indicates tuberculosis

P(Tu/Te)= probability that a subject with tuberculosis was chosen given that the test indicates tuberculosis

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How does the volume of a sphere compare to that of the volume of a cylinder? What would you say the scale factor for Vol sphere:
borishaifa [10]

Answer:

The volume of a sphere is 2/3 times the volume of a similar cylinder

Scale factor : 2/3

Step-by-step explanation:

Let us consider a sphere of radius r. The volume of the sphere will be given as

V_{s}=\frac{4}{3} \pi r^{3}

Similarly, let us consider a cylinder with its height being twice the radius of the sphere. We will have its volume given as:

V_{c}=\pi r^{2}h

but h = 2r

Hence we have

V_{c}= 2\pi r^{3}h

We can divide the two volumes to get a constant that links them together

\frac{V_{s}}{V_{c}}=\frac{\frac{4}{3} \pi r^{3}}{2\pi r^{3}h}

this will give us 2/3

Hence the scale factor for Vol sphere: Vol cylinder is 2/3

3 0
3 years ago
Q.3 Write the factors of 28 in circle A and the factors of 32 in circle B. Write
marissa [1.9K]

Answer: The largest common factor of 28 and 32 is 4.

Step-by-step explanation:

The factors of 28 are 1, 2, 4, 7, 14, 28

The factors of 32 are 1, 2, 4, 8, 16, 32

5 0
2 years ago
Can anybody do all of number 1??
MAXImum [283]

Answer:

You use the formulas for the shapes

Cylinder= 2×π×r×h+2×π×r²               π×r²×h

Cone= \pi*r(r+\sqrt{ h^{2} +r^{2}} )           π×r²×\frac{h}{3}

Square Prism= 2×a²+4×a×h                       a²×h

                            ↑a=base edge

Step-by-step explanation:

                           Surface Area  Volume

Cylinderical Head   ≈282.74                   ≈314.16  

Conical Hat                     ≈170.13                     ≈78.54

Right Cylinder Torso      ≈471.24                     ≈785.4  

Right Cylinder Arm         ≈56.55                      ≈25.13

Square Prism Leg           =224                           =192

6 0
3 years ago
1. The equation y=x^2-9x+20 models the roller coasters path over time. The variable y represents height (in feet) above or below
azamat

Answer:

1) the factored form is  y= ( x-5 ) ( x+4 )

2) the vertex is (4.5, -0.25)

3) the y intercept is when x equals 0 so it is at (0,20)

4) it opens upward and the vertex is (4.5, -0.25) the x intercepts are (4,0) and (5,0) and the y intercept is  (0,20)

5)

a. it dips  between 4 seconds and 5 seconds so the x intercepts are (4,0) and (5,0)

b. it is taken at the vertex aka the lowest point so the height is -0.25

8 0
3 years ago
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Anestetic [448]
9801
99 is the greatest 2 digit number so if you do 99x99 you will get 9801
5 0
3 years ago
Read 2 more answers
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