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Anvisha [2.4K]
3 years ago
13

Determine whether the three points are the vertices of a right triangle.

Mathematics
1 answer:
solniwko [45]3 years ago
7 0

Answer:

A

Step-by-step explanation:

We plot the points (x,y) in the coordinate system and the points are shown in the diagram attached.

We can draw a line y = -6 connecting the RED and BLUE points. Also, we can draw a line x = 9 connecting the BLUE and GREEN points.

The intersection of these two PERPENDICULAR LINES is at the point (9, -6) (as seen --- The blue point).  So, when two perpendicular lines intersect, that point is a right angle.

So, the 3 points given INDEED make a right triangle.

So, correct answer is A

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Are the marks one receives in a course related to the amount of time spent studying the subject? To analyze this mysterious poss
sertanlavr [38]

Answer:

a) 98.522

b) 0.881

c) The correlation coefficient and co-variance shows that there is positive association between marks and study time. The correlation coefficient suggest that there is strong positive association between marks and study time.

Step-by-step explanation:

a.

As the mentioned in the given instruction the co-variance is first computed in excel by using only add/Sum, subtract, multiply, divide functions.

Marks y Time spent x y-ybar x-xbar (y-ybar)(x-xbar)

77                    40 5.1         1.3 6.63

63                     42 -8.9            3.3 -29.37

79                     37 7.1            -1.7 -12.07

86                     47 14.1            8.3 117.03

51                    25 -20.9  -13.7 286.33

78                     44 6.1            5.3 32.33

83                      41 11.1            2.3 25.53

90                     48 18.1            9.3 168.33

65                     35 -6.9           -3.7 25.53

47                    28 -24.9 -10.7 266.43

Covariance=\frac{sum[(y-ybar)(x-xbar)]}{n-1}

Co-variance=886.7/(10-1)

Co-variance=886.7/9

Co-variance=98.5222

The co-variance computed using excel function COVARIANCE.S(B1:B11,A1:A11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted co-variance is 98.52222.

b)

The correlation coefficient is computed as

Correlation coefficient=r=\frac{sum[(y-ybar)(x-xbar)]}{\sqrt{sum[(x-xbar)]^2sum[(y-ybar)]^2} }

(y-ybar)^2 (x-xbar)^2

26.01        1.69

79.21       10.89

50.41             2.89

198.81       68.89

436.81       187.69

37.21       28.09

123.21        5.29

327.61        86.49

47.61         13.69

620.01         114.49

sum(y-ybar)^2=1946.9

sum(x-xbar)^2=520.1

Correlation coefficient=r=\frac{886.7}{\sqrt{520.1(1946.9)} }

Correlation coefficient=r=\frac{886.7}{\sqrt{1012582.69} }

Correlation coefficient=r=\frac{886.7}{1006.2717 }

Correlation coefficient=r=0.881

The correlation coefficient computed using excel function CORREL(A1:A11,B1:B11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted correlation coefficient is 0.881.

c)

The correlation coefficient and co-variance shows that there is positive association between marks and study time. The correlation coefficient suggest that there is strong positive association between marks and study time. It means that as the study time increases the marks of student also increases and if the study time decreases the marks of student also decreases.

The excel file is attached on which all the related work is done.

Download xlsx
7 0
3 years ago
What is the sun of 185 and h
Ksenya-84 [330]

Answer:

185 + h

Step-by-step explanation:

Question: What is the sum of 185 and h?

Sum means the answer to an addition problem, so we need to add.

185 +  h

This expression can not be simplified any further, so 185 + h is your answer.

Hope this helps :)

3 0
3 years ago
What is the value of g(2)?
Svetlanka [38]

Answer:

i think its 2

D

according to me

8 0
3 years ago
Read 2 more answers
172% of 50 is what number?
Likurg_2 [28]

Answer:

172% of 50 means 172÷100 multiplied by 50 will give you 86

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2 years ago
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Nuetrik [128]

Answer:

There will be 8 cats in each group.

Step-by-step explanation:

You do 24 divided by 3, which is 8. So, there will be 8 cats in each group.

8 0
3 years ago
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