Mathematics, 31.07.2019 09:10 ajatez8813

Suppose that 5% of the general population has a disease and the test for the disease is acurate 80% of the time, what is the probability of testing postive for the disease

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Answer from: nene3210204

Let 5% be 0.05 and 80% be 0.80.

P(testing positive) = 0.05/0.80

You finish.

Answer from: nini261

The probability of testing positive for the disease is 23%.

Step-by-step explanation:

It is given that 5% of the general population has a disease and the test for the disease is accurate 80% of the time.

A: General population has a disease. $P(A)=\frac{5}{100}$

B: General population has no disease. $P(B)=\frac{95}{100}$

C: The test for the disease is accurate. $P(C)=\frac{80}{100}$

D: The test for the disease is inaccurate. $P(D)=\frac{20}{100}$

We have to find the probability of testing positive for the disease. The result is possible if the person has disease and test is accurate or the person has no disease and test is inaccurate.

$P=P(A\cap C)+P(B\cap D)$

$P=P(A)\times P(C)+P(B)\times P(D)$

$P=\frac{5}{100}\times \frac{80}{100}+\frac{95}{100}\times \frac{20}{100}$

P=0.23

$P=23\%$

Therefore the probability of testing positive for the disease is 23%.

Answer from: Quest

If you make you answer for clear i can answer it : )

Answer from: Quest

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

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