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Sergeu [11.5K]
3 years ago
5

Please help!posted picture of question

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0
( \frac{f}{g})(x) means the ratio of f(x) with g(x) i.e. function f(x) divided by the function g(x).

( \frac{f}{g})(x)= \frac{f(x)}{g(x)} \\  \\ 
= \frac{4x+1}{ x^{2} -5}

The correct option is B.
The restriction of the domain is made so that the denominator is never zero and the expression is never undefined. In case of such questions, domain must be taken into account. 

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According to the American Lung Association, 7% of the population has lung disease. Of those having lung disease, 90% are smokers
postnew [5]

Answer:

Probability that a smoker has lung disease = 0.2132

Step-by-step explanation:

Let L = event that % of population having lung disease, P(L) = 0.07

So,% of population not having lung disease, P(L') = 1 - P(L) = 1 - 0.07 = 0.93

S = event that person is smoker

% of population that are smokers given they are having lung disease, P(S/L) = 0.90

% of population that are smokers given they are not having lung disease, P(S/L') = 0.25

We know that, conditional probability formula is given by;

                        P(S/L) = \frac{P(S\bigcap L)}{P(L)}  

                        P(S\bigcap L) = P(S/L) * P(L)

                                      = 0.90 * 0.07 = 0.063

So,  P(S\bigcap L) = 0.063 .

Now, probability that a smoker has lung disease is given by = P(L/S)

      P(L/S) = \frac{P(S\bigcap L)}{P(S)}

P(S) = P(S/L) * P(L) + P(S/L') * P(L')

       = 0.90 * 0.07 + 0.25 * 0.93 = 0.2955

Therefore, P(L/S) = \frac{0.063}{0.2955} = 0.2132

Hence, probability that a smoker has lung disease is 0.2132 .

7 0
3 years ago
Find the area of this triangle... Round to the nearest tenth and include units in your answer
alina1380 [7]

Answer:

36 m^2

Step-by-step explanation:

the formula for the area of a triangle is 1/2•b•h

so you’re going to do 1/2 times 12 times 6 to get the area of 36 m^2

4 0
3 years ago
Wayne has a recipe that says to heat the oven to 160°C. Wayne evaluates the expression 1.8C + 32 when C= 160 to convert the temp
tekilochka [14]
1.8C+32. 1.8x25+32. 45+32
5 0
2 years ago
Use geometric series to find the fraction of 0.8967898989
Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

x=0.8967\overline89\implies10^4x=8967.\overline{89}

Then

10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}

10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)

10^4x=8967+\dfrac{89}{99}

x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}

x=\dfrac{443911}{495000}

###

An arguably quicker way without using geometric series:

10^4x=8967.\overline{89}

10^6x=896789.\overline{89}

10^6x-10^4x=887822

x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}

8 0
3 years ago
Check the picture please
slavikrds [6]

Answer:

ez no picture!!!!

Step-by-step explanation:

7 0
2 years ago
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