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ANEK [815]
3 years ago
15

suppose that 23% of the people have a dog, 18% of the people have a cat and 5% of people own both. what is the probability that

someone owns a dog or a cat ?
Mathematics
1 answer:
mixer [17]3 years ago
4 0
<h2>Addition</h2><h3>Concept</h3>

Add units together in order to reach a sum.

<h3>Utilization</h3>

In this problem, you are told to find the probability (or %) that someone owns either a dog, OR a cat. If they own both - then they do in fact own a dog or cat. So the formula is:

dog owners % + cat owners % + both owners %

Aka,

23 + 18 + 5 = 46

<h3>Answer</h3>

The answer is 46% of people own either a cat or a dog, because 23% + 18% + 5% is 46%.

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Step-by-step explanation:

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Step-by-step explanation:

This is a direct variation relationship of the form

n = ku

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2 years ago
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If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

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To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

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Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

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Step-by-step explanation:

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