a classroom has 24 bulbs and four of the bulbs are failed. how many arrangements are the four failed bulbs are possible?

Mathematics

1 answer:

astraxan [27]1 year ago

8 0

Answer:

Step-by-step explanation:

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A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

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suppose you are standing on one bank of the river. A tree on the other side of the river is known to be 150ft tall. A line from

Eva8 [605]

You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft

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3 years ago

When adding or subtracting decimals, how can you be sure to add or subtract only digits that have the same place

Igoryamba

Answer: the number that are at the left side of the decimal is the whole numbers and the ones at the right are like the ones less than the whole numbers

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Determine the negation of the following statement: x is not equal to 50.

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Any more details? I cannot know if you don’t have any more details for me

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A right triangle has sides of integer lengths a, 40, and 41. Find a.

balandron [24]

Answer:

b) 9

Step-by-step explanation:

9 squared + 40 squared = 41 squared, which follows Pythagorean theorem.

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3 years ago