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Masja [62]
3 years ago
10

The director of student health decides to test every student on campus for tuberculosis. If there are 3000 students out of which

only 50 have tuberculosis and the probability of a false positive on the test is 0.008 and a false negative is 0.15, what is the probability that a person who tested positive actually has TB?
Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer: the probability that a person who tested positive actually has TB is 0.64

Step-by-step explanation:

lets say

T : has tuberculosis

+ : test results +ve

- : test result is -ve

so given that

P(+ITc) = 0.008

P(-ITc) = 0.15

P(T) = 50/3000 = 1/60

P(Tc) = 1 - P(T) = 1 - 1/60 = 59/60

Now required probability

= P(TI+)

P(T∩+) / P(+)

=  P(T) × P(+IT) / [[P(T) × P(+IT)] + [(P(Tc) × P(+ITc)]

=  P(T) × {1-P(-IT)] / [[P(T) × [1-P(-IT)] + [(P(Tc) × P(+ITc)]

WE SUBSTITUTE

=  { 1/60 × (1-0.15) } /  [1/60 × (1 - 0.15)] + [(59/60) × 0.008]

= (0.0167 × 0.85) /  [(0.0167 × 0.85) + (0.9833 × 0.008)]

= 0.01417 / 0.02206

= 0.6423 ≈ 0.64

∴ the probability that a person who tested positive actually has TB is 0.64

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I got an answer but im really not sure if its right so please help
Vladimir79 [104]

Answer:

60 degrees.

Step-by-step explanation:

Since you know that y = 74 because they are vertical angles, and 46 = the angle across from it (there is a theorem for it). Since one line is 180 degrees, and you already know the two sides next to x, which is 74 and 46, you can do 180 - 74 - 46. Your final answer should be 60 degrees.

5 0
3 years ago
Read 2 more answers
2. Factorizar: 3ax – 3ay – 2bx + 2by<br>help please :(
nekit [7.7K]

Answer:

There are no like terms.

Step-by-step explanation:

basically that is your answer you can not solve so it will be 3ax – 3ay – 2bx + 2by

7 0
3 years ago
Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.
kifflom [539]
The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros. 

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true
6 0
3 years ago
Find the area bounded by the curves x = 2y2 and x = 1 - y. Your work must include an integral in one variable.
Sedbober [7]

Answer:

Hello,

in order to simplify, i have taken the inverses functions

Step-by-step explanation:

\int\limits^\frac{1}{2} _{-1} {(-2x^2-x+1)} \, dx \\\\=[\frac{-2x^3}{3} -\frac{x^2}{2} +x]^\frac{1}{2} _{-1}\\\\\\=\dfrac{-2-3+12}{24} -\dfrac{-5}{6} \\\\\boxed{=\dfrac{9}{8} =1.25}\\

4 0
3 years ago
–2x + 2y = -4<br> 3х + Зу = -18
rodikova [14]

Answer:

(-2, -4)

Step-by-step explanation:

–2x + 2y = -4

3х + Зу = -18

Divide the first equation by 2

–2x/2 + 2y/2 = -4/2

-x +y = -2

Divide the second equation by 3

3х/3 + Зу/3 = -18/3

x + y = -6

Add these equation together

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x + y = -6

-------------------

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2y = -8

Divide each side by 2

2y/2 = -8/2

y = -4

Now we need x

x+y = -6

x-4 = -6

Add 4 to each side

x-4+4 = -6+4

x = -2

3 0
3 years ago
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