Which property will Sarah use to solve 6x = 42?

Mathematics

1 answer:

Katarina [22]3 years ago

4 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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3 years ago

What's the vertex and is it a max or min

MrRa [10]

A vertex can be the max or min. The vertex is the highest point or lowest point of a function.

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3 years ago

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61% of 180 ?

poizon [28]

First, when multiplying percents, you need to convert them to decimals. You convert percents to decimals by multiplying by 100 or moving the decimal two places to the left. Once you convert them to full decimals, you multiply the decimal by the number that you are getting the percentage from

61% of 180⇒.61×180=109.8 

5.1% of 81?⇒.051×81=4.131

 $16 \frac{1}{2}$ of 36?⇒16.5×36⇒.165×36=5.94

81% of 241⇒.81×241=195.21

76% of 600⇒.76×600=456

88% of 680⇒.88×680=598.4

37% of 481⇒.37×481=177.97

19.1% of 380⇒.191×380=72.58

41% of 321⇒.41×321=131.61

33% of 331⇒.33×331=109.23

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3 years ago

Does anyone need my help on anything that isnt math right now?

dexar [7]

Answer: you can change the subject so that you can help people with other subjects

Step-by-step explanation:

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2 years ago

Plz help.........................

Alex17521 [72]

The answer would be d

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3 years ago