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liq [111]
3 years ago
12

Data was collected on the average winter temperature and the number of days with snow of a random groupof cities in the United S

tates. Identify the correlation you would expect to see between theaverage winter temperature and the number of days with snow.a. no correlation b. constant correlation c. positive correlationd. negative correlation
Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

d. negative correlation

Step-by-step explanation:

Two variables are positive correlated when one goes up or down the other goes in the same direction and they are negative correlated when one goes up or down the other variable goes in the other direction.

In this case, the higher the temperature rises, the less snow. Therefore we have a negative correlation

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Write an equation of the circle that has a diameter with endpoints (12, 3) and<br> (-18,3).
Mademuasel [1]

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

<h3>Coordinates of center of circle</h3>

Since the endpoints of the diameter are (x₁, y₁) = (12,3) and (x₂, y₂) = (-18,3), the coordinates of the center of the circle are the midpoints of the diameter. So, the midpoints are

  • x = (x₁ + x₂)/2 = (12 + (-18))/2 = (12 - 18)/2 = -6/2 = -3 and
  • y = (y₁ + y₂)/2 = (3 + 3)/2 = 6/2 = 3.

So, the coordinates of the center of the circle are (-3, 3)

<h3>The radius of the circle</h3>

The radius of the circle r = √[(x₁ - h)² + (y₁ - k)²] where

  • (x₁, y₁) = coordinates of end of diameter = (12, 3) and
  • (h, k) = coordinates of center of circle = (-3, 3)

So, substituting the values of the variables into r, we have

r = √[(x₁ - h)² + (y₁ - k)²]

r = √[(12 - (-3))² + (3 - 3)²]

r = √[(12 + 3)² + 0²]

r = √[15² + 0²]

r = √15²

r = 15

<h3>The equation of the circle</h3>

The equation of a circle with center (h,k) is given by

(x - h)² + (y - k)² = r² where r = radius of circle.

Substituting the values of the variables into the equation, we have

(x - h)² + (y - k)² = r²

(x - (-3))² + (y - 3)² = 15²

(x + 3)² + (y - 3)² = 15²

x² + 6x + 9 + y² - 6y + 9 = 225

x² + 6x + y² - 6y + 9 + 9 - 225 = 0

x² + y² + 6x - 6y - 207 = 0

The equation of the circle that has a diameter with endpoints (12, 3) and(-18,3) is x² + y² + 6x - 6y - 207 = 0

Learn more about equation of a circle here:

brainly.com/question/18435467

5 0
1 year ago
PLEASE HELP WILL MARK BRAINLIEST The frequency f​ (in waves per​ second) and the wavelength w​ (in meters) of a sound traveling
marshall27 [118]

You gave us the speed and the frequency, and you need the wavelength.

You were also nice enough to remind us that (fqy)x(lng) = speed.

So . . . F x W = 343 m/s

Divide each side by F :

W = (343 m/s) / F

W = (343 m/s) / (240 / s)

W = (343/240) m

<em>W = 1.429 meters</em>

8 0
2 years ago
10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like
ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\  \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\  \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\  \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}

Now, we calculate the minimum value of the sample size as follows:

\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\  \\ \text{ We replacing:} \\  \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\  \\ \:n=103.2858\cong104 \end{gathered}

The minimum sample size needed is 104

3 0
1 year ago
Which sum or difference identity would you use to verify that cos (180° - ∅) = -cos ∅?
Tom [10]

Answer: Option C is correct


Step-by-step explanation:

We know tha tCos(A-B) = cosA cosB + sinAsinB

Plugging A = 180 and B = Ф

cos(180-Ф)= cos180cosФ+sin180sinФ

                  = (-1) cosФ+ (0) sinФ   [ since cos180=-1 and sin180 =0]

                 = -cosФ + 0

                 = -cosФ

Therefore option C is the correct answer.        

6 0
3 years ago
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Susan wants to have business cards printed. One style will cost $25 plus 2 per card. Another style will cost $10 plus 5 cent per
LUCKY_DIMON [66]
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