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erica [24]
3 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]3 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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Jahmal has p pairs of shoes. Kyle has one less than five times as many pairs of shoes as Jahmal. What expression represents the
rewona [7]

Problem 1

Jahmal has p pairs of shoes.: p

Kyle has one less than five times as many pairs of shoes as Jahmal.: 5p - 1

Total: p + 5p - 1 = 6p - 1

Answer: 6p - 1

Problem 2

The problem gives the original price as g. there is no s mentioned in the problem, so I don't see how you can express the higher price in terms of s. Of course, it could be that the original price is s, not g, so then just replace g with s in my answer.

The new price is g plus 15% of g.

g + 15% of g =

= g + 0.15g

= 1.15g

Answer: 1.15g

Problem 3

One package of markers costs m. 7 packages of markers cost 7m. Now you need to add 9% of 7m to 7m. If you consider 7m to be 100%, if you add 9% to 100%, you get 109%, so you need to express 109% of 7m. To find a percent of a number, multiply the percent by the number. To find 109% of 7m, multiply 109% by 7m.

109% * 7m = 1.09 * 7m = 7.63m

Answer: 7.63m

Problem 4

She earns $2.15 per hour and works 10 hours.

$2.15/hour * 10 hours = $21.50

From her salary, she earns $21.50 for the 10-hour shift.

Her customer receipts totaled r, and she earns 20% of r in addition to her salary. 20% of r = 0.2r. She earns $21.50 + 0.2r

Answer: $21.50 + 0.2r

3 0
3 years ago
Select the correct answer from each drop down menu. The GCF of the numbers in the expression (32+16) is( ) The numbers left insi
lawyer [7]

Answer:

Eu não entendo inglês!!

8 0
3 years ago
A.359.5<br> B.2,178<br> C.18.0
marshall27 [118]

Answer:

C, or 18.0

Step-by-step explanation:

The SAS theorem provides that the area is 17.97, which rounds up to 18.0, giving you C as the answer. The other two are far too high for the given values.

5 0
3 years ago
Please help!!!!! Need answer give u good points
Ber [7]
"Given" in math basically means data only from a specific section. In this cases, we only look at the 125 students who took the course. Out of the 125, 28 got into an accident.

28 of 125 chance of getting an accident given that a driver took the safety course.

28/125 = 0.224
22.4% chance
Rounded: 22%
6 0
4 years ago
Which of these expressions is equivalent to z + 2 + 2 + 2?<br> o 4+4<br> 4+<br> 42<br> 424
Sonbull [250]
4z I think I’m pretty sure tho
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3 years ago
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