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Kaylis [27]
2 years ago
6

An item is priced at $13.42. If the sales tax is 4%, what does the item cost including sales tax? If necessary, round to the nea

rest cent
Mathematics
1 answer:
stiv31 [10]2 years ago
8 0

Answer:

Total cost = $13.96

Step-by-step explanation:

The total to be paid for the item is the addition of its price plus the taxes. That is:

Total\,\,cost=13.42+0.04\,*\,13.42\\Total\,\,cost=13.42+0.5368\\Total\,\,cost==13.9568

Which can be rounded to $13.96

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Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a
Alina [70]

Answer:

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person has the disease

<em>P</em> = the test result is positive

<em>N</em> = the test result is negative

Given:

P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10

Compute the value of P (P|X) as follows:

P(P|X)=1-P(P|X^{c})=1-0.15=0.85

Compute the probability of a positive test result as follows:

P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22

Compute the probability of a person having the disease given that he/she was tested positive as follows:

P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

3 0
3 years ago
The graphs below have the same shape. What is the equation of the blue
lbvjy [14]

Answer: D.g(x)=(x-2)^2+1

Step-by-step explanation:A p E x verified

5 0
2 years ago
What is the value of n so that the expression x^2 + 11x + n is a perfect trinomial?
lora16 [44]
The answer is c) 30.25
6 0
3 years ago
Naomi‘s fish is 40 mm long. Her guinea pig is 25 cm long. How much longer is your guinea pig than her fish?
hjlf

Answer:

21 cm

Step-by-step explanation:

25-4=21

3 0
2 years ago
Solve for V.<br> 3y=39<br> Simplify your answer as much as possible.
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Answer:

3y=39 :3

y=13

Step-by-step explanation:

prove me wrong

3 0
3 years ago
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