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pochemuha
3 years ago
13

What is the value of the correlation coefficient r of the data set

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

the answer is 0.84

Step-by-step explanation:

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The points ????(0,0), ????(−4,1), ????(−3,5), and ????(1,4) are the vertices of parallelogram OABC Is this parallelogram a
gavmur [86]

Answer:

Yes, parallelogram OABC is a rectangle.

Step-by-step explanation:

The vertices of a parallelogram are O(0,0), A(-4,1), B(-3,5) and C(1,4).

A parallelogram is a rectangle if its any two adjacent sides are perpendicular to each other.

product of slopes of two perpendicular lines is -1.

Formula for slope is

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Using the formula we get

m_{OA}=\dfrac{1-0}{-4-0}=-\dfrac{1}{4}

m_{AB}=\dfrac{5-1}{-3-(-4)}=-\dfrac{4}{1}=4

m_{OA}\times m_{AB}=-\dfrac{1}{4}\times 4=-1

It means OA is perpendicular to AB.

Since two adjacent sides are perpendicular, therefore the given parallelogram OABC is a rectangle.

6 0
3 years ago
A ferris wheel has 15 seat buckets. What is the angle measurement between each bucket?
Maru [420]
Is there more to questions. you can solve it with little info
6 0
3 years ago
Read 2 more answers
The coordinates on a map for City A are (55, 11) and those for City B are (116, 65). Note that coordinates represent miles. Find
sergij07 [2.7K]

Answer:

The distance between the cities is 81 miles

Step-by-step explanation:

* Lets explain how to find a distance between two points

- The distance between the two pints (x_{1},y_{1}) and

  (x_{2},y_{2}) is

  d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

* Lets solve the problem

∵ City A located at point (55 , 11)

∵ City B located at point (116 , 65)

- Let point (x_{1},y_{1}) = (55 , 11) and point

 (x_{2},y_{2}) = (116 , 65)

∴ x_{1}=55 and x_{2}=116

∴ y_{1}=11 and y_{2}=65

- By using the rule above

∴ d=\sqrt{(116-55)^{2}+(65-11)^{2}}=\sqrt{(61)^{2}+(54)^{2}}=81.47

∴ The distance between the cities is 81 miles

7 0
3 years ago
What kind of quadrilateral is the shape shown here?
trasher [3.6K]

Answer:

C is correct as well as D.

Step-by-step explanation:

The rhombus also shares the common traits that the picture shows

5 0
3 years ago
Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the percent of change.
MA_775_DIABLO [31]

Answer:

30 is 16.67% of 180

Step-by-step explanation:

5 0
3 years ago
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