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LenKa [72]
2 years ago
15

As the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the work

place increases. This is an example of a __________ correlation.
Mathematics
1 answer:
Alik [6]2 years ago
4 0

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is <u>Negative </u>correlation.

There are several types of correlation:

  • Positive correlation - An increase in one variable leads to an increase in another variable and vice versa
  • Negative correlation - An increase in one variable leads to a decrease in another variable and vice versa
  • Zero correlation - Variables don't change in relation to one another

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

<em>Find out more at brainly.com/question/10099551.</em>

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Write an equation for the proportional relationship. Can you compare these two tables?
Viktor [21]

Answer:

Y=1.88x

Step-by-step explanation:

x1=2 x2=3, y1=3.76 y2=5.64

(2, 3.76) (3, 5.64)

m(slope) =5.64-3.76/3-2

m=1.88

y-3.76=1.88(x-2)

y-3.76=1.88x-3.76

Y=1.88x

8 0
2 years ago
Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To
Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b.  90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a.  The table below shows the calculations:

                 X                (X-mean)^2

                1.7             0.0225

                1.8                 0.0025

                1.9                 0.0025

                2.0                 0.0225

Total        7.4                  0.05

Sample size: n=4

The mean is:  \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is  \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0
3 years ago
Write the expression as the sine, cosine, or tangent of an angle. sin 5x cos x - cos 5x sin x
mrs_skeptik [129]

Answer:

sin 5x cos x - cos 5x sin x = sin(4x)

Step-by-step explanation:

Given that the trigonometric expression,

sin 5x cos x - cos 5x sin x

Here we use the "sum and difference formulas"

Sum and Difference Formulas

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cos(A+B)=cos A cos B - sin A sin B

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So,

sin 5x cos x - cos 5x sin x = sin (5x - x)

sin 5x cos x - cos 5x sin x =  sin(4x)

That's the final answer.

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Answer:

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Step-by-step explanation:

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Answer:

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