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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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fgiga [73]

Answer:

A= 75.06 Sq Cm

Step-by-step explanation:

Please refer to the picture attached with this.

In ΔABD

AB = 8.5 , AD = 6 and say BD = x

Applying Pythagoras theorem in this triangle

Pythagoras theorem says

$a^2+b^2=c^{2}$

where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.

$x^2+6^2=8.5^{2}$

$x^2=72.25-36$

$x^2=36.25$

$x=6.02$

Hence side $a = x +19$

a = 6.02+19

a = 25.02

Now we apply the formula for area of a triangle which is given as

$A=\frac{1}{2}\times b \times h$

Where b is the base , here we have base as a = 25.02

h is the height , here h = 6

Putting these values in Formula we get

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3 years ago

Chang is estimating the volume of his bathtub the actual volume of his bathtub is 37 gal chang’s estimate is 31 gal find the abs

stepladder [879]

<h3>The absolute error is 6</h3><h3>The percent error is 16.22 %</h3>

Solution:

Given that,

Actual volume of his bathtub is 37 gal

Estimate is 31 gal

Find the absolute error

Absolute Error = | Measured Value - Actual Value |

Absolute Error = | 31 - 37 |

Absolute Error = 6

Find the percent error

$Percent\ error = \frac{\text{estimate - actual}}{actual} \times 100$

Substituting we get,

$percent\ error = \frac{31-37}{37} \times 100\\\\percent\ error = \frac{-6}{37} \times 100\\\\percent\ error = -16.22$

Negative sign means percent decrease

Thus percent error is 16.22 %

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3 years ago