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slavikrds [6]
3 years ago
11

A medical test has been designed to detect the presence of a certain disease. Among people who have the disease, the probability

that the disease will be detected by the test is 0.93. However, among those who do not have the disease, the probability that the test will detect the presence of the disease is 0.06. It is estimated that 6% of the population who take this test actually have the disease. (Round your answers to three decimal places.)
a). If the test administered to an individual is positive (the disease is detected), what is the probability that the person actually has the disease?
b). If the test administered to an individual is negative (the disease is not detected), what is the probability that the person actually does have the disease?
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

a) 0.497

b) 0.0047

Step-by-step explanation:

a) The probability that the person actually has the disease

\frac{0.06 *0.93}{0.06 *0.93 + 0.06 *0.94} = 0.497

b) The probability that the person actually does have the disease\frac{0.06 *0.07}{0.06 *0.06 + 0.93 *0.94} = 0.0047

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P=$222 r=12% Y=10 A=?
sergey [27]
To solve for the A or the principal amount plus interest you can use two formulas:

A = P + I

Where: P = Principal
             I  = Interest

or you can use 

A = P (1+ rt)

Where: P = principal
             r  = rate in decimal
             t  = time in years

With your given you can use the second one, without having to use the first. 
Given that the Principal amount is $222 and the rate is 12% and time is 10 years, we first need to convert your rate into decimal by dividing the value in percent by 100 which will yield 0.12. 

Then now we can just input the data that you know into the formula:
A = P(1+ rt)
   = $222(1 + (0.12)(10))
   = $222(2.2) 
   = $488.40

Your A is then equal to $488.40

If you need to get the simple interest all you need to use is the first formula given:

A = P + I
for the interest you transpose the P to the side of the A and you will get:
I = A - P
  = $488.40 - $222
  = $266.40

$266.40 is the added interest to the principal amount. 
7 0
3 years ago
If 1/p+q=r and p≠-q, what is p in terms of r and q?
bekas [8.4K]

p = (1/r) - q

In order to find this, follow the order of operations to get the answer.

1/p+q = r ----> Multiply both sides by p+q

1 = r(p + q) -----> Divide by r

1/r = p + q -----> subtract q from both sides

(1/r) - q = p

5 0
3 years ago
What’s the correct answer for this?
Lynna [10]

Answer:

A.

Step-by-step explanation:

tan x= 6/8

usually tan θ = perpendicular / base

So,

we get perpendicular = 6, base = 8

Now using Pythagorean Theorem to find hypotenuse

hyp² = base² + Perp²

hyp² = 8² + 6²

hyp²= 64 + 36

hyp²=100

Taking sq root on both sides

hypotenuse = 10

Now

sin θ = Perpendicular / Hyp

sin x = 6 / 10

Now

cos θ = base / Hyp

cos x = 8 / 10

6 0
4 years ago
What is the X for this 7x+12=26
lukranit [14]

Answer:

x = 2

Step-by-step explanation:

7x + 12 = 26 \\ subtract \: 12 \: from \: both \: side \\ 7x = 14 \\ divide \: both \: side \: by \: 7 \\ x = 2

7 0
3 years ago
Jacob earned 300 on an amount deposited into his bank account for 3 years at a 2% annual simple interest rate how much did Joe d
vampirchik [111]
Joe deposited 180.

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