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1 year ago

18. What is the perimeter of triangle GHJ?

Mathematics

1 answer:

LenKa [72]1 year ago

8 0

The perimeter of triangle ΔGHJ is 34 units. The perimeter of triangle ΔKLM is 17 units. The perimeter of triangle ΔGHJ is twice the perimeter of triangle ΔKLM.

<h3>What is the perimeter of a triangle?</h3>

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

As per the given figure, the required solution would be as:

The perimeter of triangle ΔGHJ is :

⇒ JH + HG + GJ

⇒ 8 + 12 + 14

Apply the addition operation,

⇒ 34 units

The perimeter of triangle ΔKLM is :

⇒ LK + KM +ML

⇒ 7 + 4 + 6

⇒ 17 units

The relationship between the perimeter of triangle GHJ and the perimeter of triangle KLM is :

The perimeter of triangle ΔGHJ is twice the perimeter of triangle ΔKLM.

Learn more about the perimeter of a triangle here:

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We will use $\phi$ , the cummulative distribution function of W. The values of $\phi$ are well known and the can be found in the attached file

$P(4.2 < X < 4.9) = P(\frac{4.2-4.2}{0.4} < \frac{X-4.2}{0.4} < \frac{4.9-4.2}{0.4}) = P(0 < W < 1.75) = \\ \phi(1.75) - \phi(0) = 0.9599-0.5 = 0.4599$

We conclude that the probability that a call last between 4.2 and 4.9 minutes is 0.4599

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3 years ago

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