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nataly862011 [7]
3 years ago
5

HELP NEEDED PLEASE!!!

Mathematics
1 answer:
postnew [5]3 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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A) For this problem, we will need to use a normal calculation, in that we find the z-score and the area to the right using Table A.

z = (10 - 7.65) / 1.45

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area to the right for a z-score of 1.62 = 0.0526

The probability that a randomly selected ornament will cost more than $10 is 0.0526 or 5.26%.

B) For this problem, we will use the binomial probability formula since the problem is asking for the probability that exactly 3 ornaments cost over $10. There are two forms of this equation. One is <em>nCr x p^r x q^n-r</em> and the other is <em>(n r) x p^r x (1 - p)^n-r</em>. I will show both formulas below.

8C3 x 0.0526^3 x 0.9474^5

(8 3) x 0.0526^3 x 0.9474^5

With both equations, the answer is the same. Whichever you are more familiar or comfortable with is the one I would recommend you use.

The probability that exactly 3 of the 8 ornaments cost over $10 is 0.00622 or 0.622%.

Hope this helps!! :)

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