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zloy xaker [14]
2 years ago
6

There are 46 runners in a race. How many ways can the runners finish first, second, and third

Mathematics
1 answer:
ehidna [41]2 years ago
5 0

Answer:

(46 permutation 3)

Step-by-step explanation:

We have to choose any three with ranking from 46. So we can do this in (46 combination 3 ) ways. But for every three persons, there will be a 3 ! ways to interchange their ranks . so (46 combination 3)* 3! = (46 permutation 3)

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Full rotation= 360 degrees

360(5/6)= 300 degrees

The answer is 300 degrees.

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4 years ago
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In a certain community, 8% of all adults over 50 have diabetes. If a health service in this community correctly diagnoses 95% of
Lady_Fox [76]

Answer and Step-by-step explanation:

Solution:

Given:

Let A is the event of a person over 50 diagnosed by health service.

B1 is the event that an adult over 50 actually has diabetes.

B2 is the event that an adult over 50 does not have diabetes.

P (B1) = 8% = 0.08

And P (B2) = 1 – P (B1)

                  = 1 – 0.08

                  = 0.92

Correctly diagnose of all persons with diabetes= 95%

P (A/B1) = 0.95

Incorrectly diagnose of all persons without diabetes=   2%

P (A/B2) = 0.02

(a) ) the community health service will diagnose an adult over 50 as having diabetes.

P (B1) P (A/B1) = (0.08) (0.95) = 0.076

P (B2) p (A/B2) = (0.92) (0.02) =0.0184

P (B1) P (A/B1) + P (B2) p (A/B2) =  0.076 + 0.0184

                                                     = 0.0944

(b)  A person over 50 diagnosed by the health service as having diabetes actually has the disease.

By using formula:

P (B1/A) = P (B1) P (A/B1) / P (B1) P(A/B1) + P (B2) P (A/B2)

Put all the given values:

= (0.08) (0.95) / (0.08) (0.95) + (0.92) (0.02)

=0.076 / 0.076 + 0.0184

=0.076 / 0.0944

= 0.8050

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

[2(x+2)] + [2(2x-3)]

Step-by-step explanation:

perimeter is all sides added together. This expression multiplies both sides by 2 in order to represent the other 2 sides not notated in the picture.

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4 years ago
People!!!!! This Is REALLY important!!!!
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Answer:

Step-by-step explanation:

2+2

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