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3 years ago

Use compass directions to describe the Direction of a vector. The diagram is not drawn to scale

Mathematics

2 answers:

vekshin13 years ago

6 0

Using compass directions we simply describe the direction using the angle relative to N, S, E & W.

So in this case, the vector is travelling south west at an angle "41 degrees South of West."

kolezko [41]3 years ago

3 0

Answer:

41° south of west

Step-by-step explanation:

To Find: Use compass directions to describe the Direction of a vector.

Solution :

Since we know that there are 4 directions on compass

North

East

West

South

We can see that the vector is lying between West and south

A vector arrow (with arrowhead) is drawn in a specified direction.

Since the angle is subtended with base on West and is subtending towards south with measure of 41°

Since vector is travelling south west at an angle of 41°

Thus the direction of compass is 41° south of west

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The graph of a function f(x) passes through the following points: (0,0), (1, -2), (2,0) Which of the following could be f(x)?

Sveta_85 [38]

Answer:

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Step-by-step explanation:

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3 years ago

A quality analyst of a tennis racquet manufacturing plant investigates if the length of a junior's tennis racquet conforms to th

Burka [1]

Answer:

Confidence interval : $21.506$ to $24.493$

Step-by-step explanation:

A quality analyst selects twenty racquets and obtains the following lengths:

21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

So, sample size = n =20

Now we are supposed to find Construct a 99.9% confidence interval for the mean length of all the junior's tennis racquets manufactured at this plant.

Since n < 30

So we will use t-distribution

Confidence level = 99.9%

Significance level = α = 0.001

Now calculate the sample mean

X=21, 25, 23, 22, 24, 21, 25, 21, 23, 26, 21, 24, 22, 24, 23, 21, 21, 26, 23, 24

Sample mean = $\bar{x}=\frac{\sum x}{n}$

Sample mean = $\bar{x}=\frac{21+25+23+22+24+21+25+21+23+ 26+ 21+24+22+ 24+23+21+ 21+ 26+23+ 24}{20}$

Sample mean = $\bar{x}=23$

Sample standard deviation = $\sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}$

Sample standard deviation = $\sqrt{\frac{(21-23)^2+(25-23)^2+(23-23)^2+(22-23)^2+(24-23)^2+(21-23)^2+(25-23)^2+(21-23)^2+(23-23)^2+(26-23)^2+(21-23)^2+(24-23)^2+(22-23)^2+(24-23)^2+(23-23)^2+(21-23)^2+(21-23)^2+(26-23)^2+(23-23)^2+(24-23)^2}{20-1}}$