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mart [117]
2 years ago
5

23.

Mathematics
1 answer:
guajiro [1.7K]2 years ago
5 0

The correlation coefficient of the data given in the table, using a calculator, is of 0.35

<h3>How to find the correlation coefficient of a data-set using a calculator?</h3>

To find the coefficient, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

  • The values of x are: 90, 95, 80, 84, 75, 80.
  • The values of y are: 80, 90, 90, 95, 75, 85.

Using a calculator, the coefficient is of 0.35.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

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The probability that it will rain tomorrow is 0.65
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0.65 = 65% SO THE ANSWER IS 0.45 or 45%
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A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an
Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

  • The cost of planting trees is $ 400 per hectare.
  • The cost of purchasing land is $ 260 per hectare.
  • The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5

Then the value of <em>y</em> is:

x+y=25\\y=25-x\\y=25-12.5\\y=12.5

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

4 0
3 years ago
Mrs Rodriguez will make name tags for each of the 45 choir members and 30 orchestra members the materials for each name tag cost
n200080 [17]
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Then add the two answers together.
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3 years ago
What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6))
Anastaziya [24]

Answer:

C. z = -20\sqrt{3}-i\,20

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

z = a+i\,b (1)

Where each coefficient can be determined as function of the polar components:

a = r\cdot \cos \theta (2)

b = r\cdot \sin \theta (3)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number, measured in radians.

If we know that r = 40 and \theta = \frac{7\pi}{6}, then the rectangular form of the number is:

a = 40\cdot \cos \frac{7\pi}{6}

a = -20\sqrt{3}

b = 40\cdot \sin \frac{7\pi}{6}

b = -20

The rectangular form of z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right) is z = -20\sqrt{3}-i\,20. The correct answer is C.

4 0
3 years ago
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