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Colt1911 [192]
3 years ago
6

In a group of 21 students, 8 students take Art courses, 7 students take Music courses. Two students take both courses. A student

is chosen randomly from this group. What is the probability that the student takes either Art or Music courses? 57
Mathematics
1 answer:
Blababa [14]3 years ago
3 0
Since two people take both courses, we can subtract two from 7, 8, and 21, giving us 5, 6, and 19.

Add 5 and 6 together to get 11. Since eleven students are in those two groups, we can answer this. The answer will be 11/19.
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<u>Given</u>:

The given triangle is a similar triangle.

The length of the hypotenuse is 18 units.

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The length of the part of the hypotenuse is 16 units.

We need to determine the proportion used to find the value of a.

<u>Proportion to find the value of a:</u>

We shall find the proportion to determine the value of a using the geometric mean leg rule.

Applying the leg rule, we have;

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

Substituting the values of hypotenuse, leg and part, we get;

\frac{18}{a}=\frac{a}{16}

Thus, the proportion used to find the value of a is \frac{18}{a}=\frac{a}{16}

Hence, Option D is the correct answer.

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4y = 124
---     ----
4        4

------------
| y = 31  |
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