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Salsk061 [2.6K]
3 years ago
12

A survey of the men in a certain town showed that 35% of the men have blond hair and 14% of them have blond hair and blue eyes.

What is the probability that a randomly selected man has blue eyes, given that he has blond hair?
Mathematics
1 answer:
natita [175]3 years ago
7 0
If you are given he has blond hair, so the total probability will be 35%. And among them, he needs to have blue eyes, its probability is 14% among the 35%. So the final probability is 14%/35%=40%.
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Law of sines: 2.2 units 2.4 units 3.0 units 3.3 units
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Answer:

RS=2.4\ units  

Step-by-step explanation:

<em>The complete question is </em>

What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.

see the attached figure to better understand the problem

step 1

Find the measure of angle S

Applying the law of sines

\frac{QS}{sin(R)}=\frac{QR}{sin(S)}

substitute the given values

\frac{3.1}{sin(80^o)}=\frac{2.4}{sin(S)}

Solve for sin(S)

sin(S)=\frac{sin(80^o)}{3.1}(2.4)

S=sin^{-1}[sin(80^o)}{3.1}(2.4)]

S=49.68^o

step 2

Find the measure of angle Q

Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees

so

m\angle Q+m\angle R+m\angle S=180^o

substitute the given values

m\angle Q+80^o+49.68^o=180^o  

m\angle Q+129.68^o=180^o  

m\angle Q=180^o-129.68^o

m\angle Q=50.32^o

step 3

Find the length of segment RS

Applying the law of sines

\frac{QS}{sin(R)}=\frac{RS}{sin(Q)}

substitute the given values

\frac{3.1}{sin(80^o)}=\frac{RS}{sin(50.32^o)}

RS=\frac{3.1}{sin(80^o)}{sin(50.32^o)}  

RS=2.4\ units          

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Step-by-step explanation:

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