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erica [24]
2 years ago
14

A screening test for a disease shows a positive result in 91% of all cases when the disease is actually present and in 7% of all

cases when it is not. Assume that the prevalence of the disease is 1 in 650. If the test is administered to a randomly chosen individual, what is the probability that the result is positive
Mathematics
1 answer:
Jobisdone [24]2 years ago
4 0

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713

0.0713 = 7.13% probability that the result is positive.

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3 is 5% of what number?
Doss [256]

Answer:

60

Step-by-step explanation:

if 3 represents 5% and we know 5%*20 =100% then

3*20=60 represents 100%

4 0
2 years ago
Find the domain and range of the graph
ozzi

9514 1404 393

Answer:

  • domain: [-6, -1)
  • range: [-5, 4]

Step-by-step explanation:

You have correctly determined the domain to be from x = -6 to x < -1. In interval notation, that would be ...

  [-6, -1)

__

The range is the vertical extent of the graph. It extends from a minimum of y = -5 to a maximum of y = +4 at the top of the curve. In interval notation, that would be ...

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8 0
2 years ago
What is the perimeter of the figure? <br> 229 4/9 ft<br> 229 2/3 ft<br> 230 2/3 ft <br> 231 ft
mote1985 [20]

The answer would be 230 2/3, because to get the perimeter you have to add all the sides together, 60 5/6 + 59 1/3 + 56 1/6 + 54 1/3 = 230 2/3

6 0
3 years ago
PLEASE ANSWER ASAP! REALLY IMPORTANT! MUST BE CORRECT! POINTS GIVEN!
VMariaS [17]
 - 5/12  +  ( - 1/4) = 

Adding two negatives results in a negative

-1/4 = -3/12

-3/12 + -5/12  =  -8/12

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8 - 3 = 5

- 5/12

Answer:  - 5/12
8 0
3 years ago
Read 2 more answers
A rectangular storage container with an open top is to have a volume of 10 m3. The length of this base is twice the width. Mater
Gala2k [10]
L = 2 W
B = L x W = 2 W²
Side Area = 2 W H + 2 L H = 2 H ( W + L ) = 6 H W
V = 2 W² H = 10
H = 5 / W²
Cost = 15 * 2 W² + 9 * 5/W
= 30 W² + 270/ W 
C ` = 60 W - 270 / W² 
= ( 60 W² - 270 ) / W² = 0
60 W² = 270
W ² = 270 : 60
W² = 4.5
W = √ 4.5 = 2.12
Cost (min) = 15 * 2 * 4.5 + 30 / 2.12 = 135 + 14.15 = $149.15
Answer: The cost of materials for the cheapest such container is $149.15. 
8 0
3 years ago
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