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OleMash [197]
3 years ago
6

In a group of students, 30 played chess, 19 played volleyball, 25 played

Mathematics
1 answer:
saul85 [17]3 years ago
5 0

Answer:

Explained below.

Step-by-step explanation:

Denote the events as follows:

<em>C</em> = chess

<em>V</em> = volleyball

<em>B</em> = basketball

The data provided is as follows:

n (C) = 30

n (V) = 19

n (B) = 25

n (C ∩ V) = 14

n (B ∩ V) = 8

n (B ∩ C) = 15

n (C ∩ V ∩ B) = 5

Consider the Venn diagram below.

The number of students who played only chess is marked in pink:

n (Only C) = 6

The number of students who played only volleyball is marked in blue:

n (Only V) = 2

The number of students who played only basketball is marked in orange:

n (Only B) = 7

The number of students who played all three is marked in grey:

n (C ∩ V ∩ B) = 5

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Gala2k [10]

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Pythagoras Theorem:

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

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1 year ago
In fig if x+y=w+z then prove that AOB is a line.​
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Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

∘

(linear pair.)

According to the question,

x+y+w+z=360

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∣ Angles around a point.

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∣ Given x+y=w+z

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Hence, x+y makes a linear pair.

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3 years ago
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