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erastova [34]
3 years ago
11

1. After running, Maggie is 3 miles east of her starting point, and 4 miles north of her starting point. What angle could repres

ent her direction of travel?​
Mathematics
1 answer:
Anna [14]3 years ago
8 0

Answer:

The angle is 53.13 degrees

Step-by-step explanation:

Here, we want to calculate angle representing the direction of travel

From the question, she is 3 miles east and 4 miles north of her starting point

So the angle that represents her direction of travel will be that which makes a cut with the horizontal (the east direction)

Now, let us picture a right-angled triangle, with 3 miles direction being the adjacent and the 4 miles direction (facing the angle we want to calculate and is the opposite)

the trigonometric identity to use is the Tangent

Tan theta = 4/3

theta = arc tan (4/3)

theta = 53.13 degrees

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Answer:

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and since the level of significance is not stated in question so we assume it to be 5%.

Now Using chi-square table we observe at 5% level of significance the \chi ^{2}_2_4 will give value of 36.42 which means if our test statistics will fall below 36.42 we will reject null hypothesis.

Since our Test statistics is more than the critical value i.e.(54>36.42) so we have sufficient evidence to accept null hypothesis and conclude that our population standard deviation is not more than 6 pages which the editor hypothesized.

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