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natta225 [31]
3 years ago
5

Needs help please :)

Mathematics
1 answer:
Degger [83]3 years ago
8 0
the thing is I can't see it prop ley:(
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A certain virus infects one in every 200 people. a test used to detect the virus in a person is positive 70​% of the time when t
V125BC [204]

We're told that

P(A)=\dfrac1{200}=0.005\implies P(A^C)=0.995

P(B\mid A)=0.7

P(B\mid A^C)=0.05

a. We want to find P(A\mid B). By definition of conditional probability,

P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}

By the law of total probability,

P(B)=P(B\cap A)+P(B\cap A^C)=P(B\mid A)P(A)+P(B\mid A^C)P(A^C)

Then

P(A\mid B)=\dfrac{P(B\mid A)P(A)}{P(B\mid A)P(A)+P(B\mid A^C)P(A^C)}\approx0.0657

(the first equality is Bayes' theorem)

b. We want to find P(A^C\mid B^C).

P(A^C\mid B^C)=\dfrac{P(A^C\cap B^C)}{P(B^C)}=\dfrac{P(B^C\mid A^C)P(A^C)}{1-P(B)}\approx0.9984

since P(B^C\mid A^C)=1-P(B\mid A^C).

4 0
3 years ago
A tape diagram. There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students
SVEN [57.7K]

Answer:

<em>800÷100 = 8</em>

<em>65×8=520</em>

\frac{520}{800}

another way:

<em>100%-65%=35%</em>

<em>35% = 0.35</em>

<em>800×0.35= 280</em>

<em>800-280=</em>520

another way:

<em>65% = 0.65</em>

<em>0.65×800=</em>520

Hope it helped! :)

6 0
2 years ago
Prove the polynomial identity.
Kaylis [27]

Answer:

Proven

Step-by-step explanation:

We prove the polynomial with factorization. We must first simplify the expression before we can factorize:

(4\cdot{x^2}-2)\cdot{(4\cdot{x^2}-2)}-16\cdot{x^4}

16\cdot{x^4}-8\cdot{x^2}-8\cdot{x^2}+4-16\cdot{x^4}

4-16\cdot{x^2}

4 is the common number and we can take it out of the expression:

4\cdot{(1-4\cdot{x^2})}

We can factorize further with the x term being zero. For this to be true we must have -2x and 2x to cancel out and therefore the expression is proven:

4\cdot{(1-2\cdot{x})}\cdot{(1+2\cdot{x})}

5 0
3 years ago
What is p ÷ 6 = 9 ? I'm not really understanding it
Shalnov [3]
Let's figure this out. Step by step:

P /  6 = 9

P = 6(9)

P = 54 is your answer.

I hope this helps :)
8 0
3 years ago
Read 2 more answers
Find x+y, if: 2x+3y=8 and 3x+5y=13
joja [24]
Answer is x = 1 & y = 2
the answer can be found using math-way
4 0
3 years ago
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