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Nimfa-mama [501]
3 years ago
13

A local Siri collects 8% sales tax. if the total purchase was $216 then how much was collected for sales tax

Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

$17.28 were collected for sales tax

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
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Given that X <span>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:

</span><span>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:

</span>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
<span>

Part B:

The mean of a binomial distribution is given by

</span>\mu=np \\  \\ =30(0.02) \\  \\ =0.6
<span>
The standard deviation is given by:

</span>\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\  \\ =0.7668
<span>

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.</span>
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3 years ago
What set of transformations is performed on triangle ABC to form triangle A′B′C′? (4 points)
fenix001 [56]

Answer:

i am on this exact question and i am confused myself because it seems like the answer should be "180 degree rotation with a translation of 5 units to the right" but that is not an option :/ so my best guess is either A or D hope this helps at all

Step-by-step explanation:

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Derek ran less than 6 miles. If the race is 6 miles, and he only ran 3/8, he ran less than a half of the race. If he didn't finish the race of 6 miles, he couldn't possibly have run 6 miles. 
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