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jok3333 [9.3K]
2 years ago
9

Students from Texas, New York, Washington, Florida, and Utah identified their area of concentration at various universities. The

results are listed in the table.
One of these students is selected at random. What is the probability that the student is from the state of Washington under the condition that the student studies history?

Enter a number in the box.

Mathematics
2 answers:
Alona [7]2 years ago
5 0

Answer:

Students who study history: 132

Number of students from Washington who study history: 20

The probability of Washington given history is 20/132. In simplest form, the probability is 5/33

rjkz [21]2 years ago
3 0
Students who study history: 132

Number of students from Washington who study history: 20

The probability of Washington given history is 20/132. In simplest form, the probability is 5/33
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Answer:

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Step-by-step explanation:

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Let's solve the second equation for a to later on replace it in the first equation.

8a+4b=28\\8a=28-4b\\a=\frac{28-4b}{8}

Now plug this into the first equation.

9a+3b=30\\9(\frac{28-4b}{8})+3b=30

Distribute the 9

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Break down the fraction.

\frac{252}{8}-\frac{36b}{8}+3b=30

Simplify.

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Subtract \frac{63}{2}

-\frac{9}{2}b+3b=30-\frac{63}{2}

Combine like terms.

\frac{-9+2*3}{2}b=\frac{30*2-63}{2}

\frac{-9+6}{2}b=\frac{60-63}{2}

\frac{-3}{2}b=\frac{-3}{2}

Muliply by the reciprocal or inverted fraction next to b.

(-\frac{2}{3})(-\frac{3}{2}) b=-\frac{3}{2}(-\frac{2}{3})

b=1

Now plug this value into any of the equations to find the value of a.

8a+4b=28\\8a+4(1)=28\\8a+4=28\\8a=28-4\\8a=24\\a=\frac{24}{8}\\ a=3

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