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Dahasolnce [82]
3 years ago
9

Suppose there is a 11.3% probability that a randomly selected person aged 30 years or older is a smoker. In​ addition, there is

a 23.3% probability that a randomly selected person aged 30 years or older is male given that he or she smokes. What is the probability that a randomly selected person aged 30 years or older is male and smokes? Would it be unusual to randomly select a person aged 30 years or older who is
male and smokes?
Mathematics
1 answer:
Marina86 [1]3 years ago
6 0

Answer:

2.63%

Step-by-step explanation:

11.3/100*23.3/100*100%

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Find exact value of cos(2 tan^-1(12/5))
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\bf cos\left[2\ tan^{-1}\left( \frac{12}{5} \right)  \right]
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\textit{let's say, hmm }tan^{-1}\left( \frac{12}{5}\right)=\theta\textit{ that simply means}
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cos\left[2\ tan^{-1}\left( \frac{12}{5} \right)  \right]\iff cos(2\theta)\implies 2cos^2(\theta)-1\leftarrow 
\begin{array}{llll}
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\bf \textit{so  hmm what is the }cos(\theta)?\quad cos(\theta)=\cfrac{adjacent}{hypotenuse}
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\textit{so, let's use the pythagorean theorem, to get the hypotenuse}
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tan^{-1}\left( \frac{12}{5}\right)=\theta\implies tan(\theta)=\cfrac{12}{5}\cfrac{\leftarrow opposite=b}{\leftarrow adjacent=a}
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c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\implies c=\sqrt{5^2+12^2}\implies c=\sqrt{169}
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\bf 2cos^2(\theta)-1\iff 2\left[ cos(\theta) \right]^2-1\implies 2\left[ \cfrac{5}{13} \right]^2-1
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5 0
3 years ago
Plz solve this pic fast and correctly!!!
Leni [432]

Answer:

mi = 45(hr)

  hr = mi/45

Step-by-step explanation:

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time in hours = the number of miles (Distance) divided by 45 mph  t = D/45

6 0
3 years ago
9/10
SIZIF [17.4K]

Answer: 90%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 9/10 as a percent, we need to find a fraction

equivalent to 9/10 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have \frac{9}{10} = \frac{n}{100}.

Now, we can use cross-products to find the missing value.

So we have (9)(100) which is 900 <em>is equal</em> to (10)(n) or 10n.

So we have 900 = 10n.

Next, dividing both sides of the equation by 10, we have <em>90 = n</em>.

So, 9/10 is equal to 90/100 or 90%.

7 0
4 years ago
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insens350 [35]

Answer:

Step-by-step explanation:

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6 0
3 years ago
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Alla [95]
Hello : 
g(-1) = (-1)² -7(-1)-9 =1+7-9 = -1 
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5 0
4 years ago
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