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MatroZZZ [7]
3 years ago
15

The expression 3/4×1/2 represents a fraction of a circle that is shaded. Which diagram shows the correct shading?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
4 0
Hello,

Here is your answer:

The proper answer to this question is option D.

Here is how:

First solve the equation:

3*1=3
4*2=8

Which means your answer is D.

If you need anymore help feel free to ask me!

Hope this helps!
IrinaVladis [17]3 years ago
4 0
Multiply: (3/4)*(1/2) = 3/8

if the circle is split into 8 pieces only 3 will be shaded.

This is represented by the bottom right circle.
Another way to look at it is.. 3/4 of 1/2 circle is shaded.

hope this helps. :-)
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=\frac{^{6}_{C_{3}}\times ^{5}_{C_{2}}}{^{11}_{C_{5}}}\\\\=\frac{\frac{6!}{3!(6-3)!}\times \frac{5!}{2!(5-2)!}}{\frac{11!}{5!(11-5)!}}\\\\=\frac{\frac{6!}{3! \times 3!}\times \frac{5!}{2! \times 3!}}{\frac{11!}{5! \times 6!}}\\\\=\frac{\frac{6 \times 5 \times 4 \times 3!}{3 \times 2  \times 1\times 3!}\times \frac{5  \times 4  \times 3!}{2 \times 1 \times 3!}}{\frac{11  \times10  \times 9  \times 8 \times 7  \times 6! }{5 \times 4 \times 3  \times 2  \times 1 \times 6!}}\\\\

=\frac{ (5 \times 4) \times(5  \times 2)}{(11  \times 3  \times 2 \times 7 )}\\\\=\frac{ 20 \times 10 }{(11 \times 42)}\\\\=\frac{ 200 }{462}\\\\=\frac{100 }{231}\\\\=0.4329

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