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SVETLANKA909090 [29]
3 years ago
5

The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 a

s a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent. In a large study of prostate cancer screening, it was found that about 6.2% of the population has prostate cancer. Draw a tree diagram for selecting a person from this population (outcomes: cancer present or absent) and testing his blood (outcomes: test positive or negative).

Mathematics
1 answer:
nadezda [96]3 years ago
8 0

The missing table for the Test Result can be expressed as:

                              Test Result

                               Positive         Negative

Cancer Present        0.21              0.79

Cancer Absent        0.06              0.94

Answer:

Step-by-step explanation:

A tree diagram is an elegant way of determining an exhaustive list of sample elements in the sample space. It is by finding the ordered n-tuples of the elements in the events under consideration.

The tree diagram for selecting a person from the population in the given question can be found in the attached image below.

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Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters of water are needed to fill the aquarium?
laila [671]
Jacob used 1/7 of a liter of water.
He needs to fill 1/9 of the fish aquarium.
Find how many liters would Jacob need to fill the aquarium
=> Let x = liters of water need to fill the aquarium
=> x/1 = 1/7 divided by 1/9
=> x = 1/7 x 9/1
=> x = 9/7, since this is an improper fraction, let’s convert it to mixed fraction
=> x  = 1 and 2/7
So, Jacob need 1 and 2/7 liter of water to fill the whole aquarium.



3 0
3 years ago
How can u solve this by system of equations by elimination 4x-5y=6;2x+5y=-28
gayaneshka [121]

Answer:

x=17/3, y=10/3. (17/3, 10/3).

Step-by-step explanation:

4x-5y=6

2x+5y=-28

-----------------

4x-5y=6

-2(2x+5y)=-2(-28)

--------------------------

4x-5y=6

-4x-10y=56

------------------

-15y=-50

15y=50

y=50/15

y=10/3

4x-5(10/3)=6

4x-50/3=6

4x=6+50/3

4x=18/3+50/3

4x=68/3

x=(68/3)/4

x=(68/3)(1/4)=68/12=17/3

4 0
3 years ago
Four bread rolls weigh a total of 3/5 pounds. How much does each bread roll weigh?
timama [110]
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The easiest way to do this would first be converting 3/5 into a fraction (0.6)

next, divide that by 4 to get the weight of 1.

0.6/4 (the same as 0.6 x 0.25 or 6/10 x 1/4 if you are doing it without a calculator)

each bread weighs 3/20 (or 0.15) pounds.

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3 years ago
Can somebody help?
Tatiana [17]

Answer:

a its the first one

Step-by-step explanation:

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3 years ago
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