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3 years ago

We are looking at HIV positive rates among rural Chinese farmers. One of the variables studied

Mathematics

1 answer:

seraphim [82]3 years ago

4 0

Answer:

Categorical data.

Step-by-step explanation:

Variables can be classified as:

Quantitative: If the variable assumes numeric values.

Categorical: If the variable assumes labels.

In this question:

'illiterate," "primary," and "secondary" are labels, which means that in this example, education level is an example of categorical data.

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There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of

Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

$AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta$ (1)

Where:

$AC$ - The distance from A to C, measured in miles.

$AB$ - The distance from A to B, measured in miles.

$BC$ - The distance from B to C, measured in miles.

$\theta$ - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

$AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta$

$\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}$

$\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right)$ (2)

If we know that $BC = 7\,mi$ , $AB = 8\,mi$ , $AC = 5\,mi$ , then the bearing from island B to island C:

$\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]$

$\theta \approx 38.213^{\circ}$

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0

3 years ago

A container of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced

Sav [38]

The answer will be 14/20 because there a total of 20 beads and 8 red beads and 6 green beads which is 14 out of 20 total beads

4 0

3 years ago

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Shelley designed the patio below, in which one side of the patio is a wall of the house. The length of each side of a square on

Nana76 [90]

$120 because the fencing of the patio would use up eight squares and each square in the picture is 3 meters so we would need 24 meters of fencing to cover up the entire patio. Since it cost $5 for one meter, 5*24 is $120.

3 0

4 years ago

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What does this equal

docker41 [41]

Answer:

I think it is 9

Step-by-step explanation:

3×3 is 9 + 15= 24÷4=3×3=9

8 0

3 years ago

A rectangle has length X +5 and width X +4 if the perimeter of the rectangle is 42 m what are the length and width of the rectan

Maru [420]

The perimeter is 2(length) + 2(width), so 2(x+5) + 2(x+4) = 42 m. In solving for x, you find 6. Plug 6 back into your length and width where x originally was, and you find your length to be 11m, and your width to be 10m. Hope this helps!

6 0

3 years ago

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