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2 years ago

HELP NEEDED PLEASE!!!

Mathematics

1 answer:

postnew [5]2 years ago

8 0

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle $\theta$ , then a vector V can be represented as follows in component notation:

$V = (M\cos{\theta}, M\sin{\theta})$

In this problem, the magnitude and the angle are given, respectively, by:

$M = 12, \theta = 143^\circ$

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

#SPJ1

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Then we have tree equations:

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First we should isolate one variable in the third equation, and then replace it in one of the other two:

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Since z-score of 10.1 is $-1$ . Now we need to find area under curve that is below one standard deviation from mean.

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Therefore, the probability of a lion living longer than 10.1 years is approximately 16%.

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