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polet [3.4K]
3 years ago
8

To determine whether or not they have a certain disease, 150 people are to have their blood tested. However, rather than testing

each individual separately, it has been decided first to group the people in groups of 10. The blood samples of the 10 people in each group will be pooled and analyzed together. If the test is negative, one test will suffice for the 10 people (we are assuming that the pooled test will be positive if and only if at least one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group. Assume the probability that a person has the disease is 0.04 for all people, independently of each other, and compute the expected number of tests necessary for each group.
Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

The answer is 75 tests for 150 people.

Step-by-step explanation:

Firstly, with 150 people, we can divide into 15 groups; and the probability of disease is 0.04, there are 6 persons who possibly get disease.

Therefor, the maximum number of groups with an individual getting disease is 6. Then, 6 * 11 tests = 66 tests required.

15 groups - 6 groups with disease = 9 groups of negative with 9 tests.

In conclusion, there are 75 tests required.  

 

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To one decimal point how many millimeters are there in 57 inches
attashe74 [19]
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(25.4)/1*57
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3 years ago
Help!!!! for just 3 but if you know 4 also then it’s on my page and I would appreciate the help
Rus_ich [418]
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First set equation = to 0
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Now set up two equations
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8 0
3 years ago
Peter planted 5/12 of his garden with asparagus and 3/12 with beans.
UkoKoshka [18]
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This isn’t too difficult because the denominators are the same.

5/12 + 3/12 = 8/12

It is 8/12 because since the denominators are the same, you just need to add the numerators. Imagine you have a pie that’s cut into 12 pieces, and you and your friends take 5, and then your family takes 3. How many or gone now? 8 pieces. From how many pieces? 12 pieces. So 8/12 pieces are gone.

So Peter has planted 8/12 of his garden. This however, can be simplified, because both of those numbers divide by 4.

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So 8 is now 2, and 12 is now 3.

This is now 2/3.

If there is 2/3 gone, you need to figure out how much is left to get you to 1.

In this instance, 1 can be rewritten as 3/3, because 3 divided by 3 is 1.

In order to get from 2/3 to 1, you need to add 1/3, one more third to the two thirds you already have.

This means Peter has 1/3 left to plant.

Hope this helps :)

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zubka84 [21]

Answer:

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Step-by-step explanation:

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Answer:

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8 0
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