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3 years ago

Which of the following represents a negative correlation?

Mathematics

1 answer:

babunello [35]3 years ago

3 0

Answer:

The answer is letter B, The water level in a bathtub as it drains over time.

Step-by-step explanation:

It is best to learn the meaning of "negative correlation" first.

Correlation- In Mathematics, "correlation" means a measure of the relationship between two variables.

Positive Correlation- when the values of the variables increase together.

Negative Correlation- when one value of a variable increases while the other variable's value decreases.

*The situation above is asking for a negative correlation, therefore the answer is letter B (The water level in a bathtub as it drains over time).

The variables are: water level and draining time

As the draining time increases, the water level in the bathtub decreases. This is clearly an example of a negative correlation.

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Triangle XYZ has vertexes at X(-4, 5), Y(-3, 5), and Z(-3, 4). Find the measure of angle Y to the nearest degree.

hodyreva [135]

Mark these points on the graph to form a right angled triangle.
Angle Y will be 90 degrees

8 0

2 years ago

Please help. How do you find cosine, sine, cosecant and secant with this triangle?

Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenuse
cosine (cos) = adjacent/hypotenuse
tangent (tan) = opposite/adjacent
cosecant (cosec/csc) = hypotenuse/opposite
secant (sec) = hypotenuse/adjacent
cotangent (cot) = adjacent/opposite
cosecant is the reciprocal of sine
secant is the reciprocal of cosine
cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric Ratio
Adjacent = 12
Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²
100+144 = c²
244 = c²

Thus, the hypotenuse is:

$\large \boxed{c = 2 \sqrt{61} }$

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61
sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61
cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5
secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

5 0

2 years ago

Please I need a quick reply

Rom4ik [11]

Answer:

Step-by-step explanation:

It sounds most likely to the right answer

¯\_(ツ)_/¯

4 0

2 years ago

Read 2 more answers

Please help with the following question

Alex17521 [72]

P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(3,-2)=(x2,y2)→x2=3, y2=-2

Slope: m=(y2-y1)/(x2-x1)
m=(-2-0)/(3-0)
m=(-2)/3
m=-2/3

Point-slope equation:
y-y1=m(x-x1)
y-0=(-2/3)(x-0)
y=-(2/3)x

Answer: The equation of the line is: y=-(2/3)x

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3 years ago

David earns $8.59 an hour. His benefits package is equal to 18 percent of his hourly wages. When you include the value of his be

meriva

A]
Amount of earning per hour=$8.59
Amount of David's benefits=18/100×8.59=:1.5462
Amount that David earn per hour including benefits is given by:
8.59+1.5462=$10.1362

b]Amount that David earns in 35 hour a week will be:
(amount per hour)*(number of hours)
=8.59*35
=$$300.65

C] amount earned by David including benefits will be:
(amount earned in 35 hours)+(total benefits in 35 hours)
total benefits=1.5462×35=$54.117
thus total amount will be:
300.65+54.117
=$354.767

4 0

3 years ago