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Over [174]
2 years ago
14

What is the equation of a line in point-slope form passing through (-4,6) and (2, 3)?

Mathematics
1 answer:
bogdanovich [222]2 years ago
3 0

Answer:

y-3=-\frac{1}{2}(x-2)

Step-by-step explanation:

The slope is

\frac{6-3}{-4-2}=-\frac{1}{2}

So, using the point (2,3), the equation is

y-3=-\frac{1}{2}(x-2)

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If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between X
natka813 [3]

Answer:

We have a strong negative relationship between the variables.

Step-by-step explanation:

Given two random variables X and Y, it is possible to calculate the covariance as Cov(X, Y) = E(XY)-E(X)E(Y). We have E(X)=5, E(Y)=6 and E(XY)=21. Therefore Cov(X,Y)=21-(5)(6)=21-30=-9. On the other hand, we know that the correlation of X and Y is the number defined by Cov(X,Y)/\sqrt{Var(X)}\sqrt{Var(Y)} and because in this particular case we have V(X)=9 and V(Y)=10, we have -9/\sqrt{9}\sqrt{10} = -0.9487. Therefore, we have a strong negative relationship between the variables.

6 0
3 years ago
Which‌ ‌image‌ ‌does‌ ‌not‌ ‌belong?‌ ‌Justify‌ ‌your‌ ‌reasoning
Pavlova-9 [17]

Answer:

i think it 4 because it isnt a quadrilateral

Step-by-step explanation:

7 0
3 years ago
What are the first three common multiples of 5 and 15
Artist 52 [7]
The first 3 common multiples of 5 and 15 are 15, 30, and 45. Remember that the number itself is also a multiple of any number, since you can multiply it by 1.

5 - 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100
15 - 15, 30, 45, 60, 75, 90, 105

Hope this helps!
8 0
4 years ago
1/3x + a= 1/2b for x
TiliK225 [7]
The answer is x=.5/.333b-.333a
7 0
3 years ago
Claudia is reading a book that has 360 pages.She read some of the book last week.She plans to read 46 pages today.When she does,
Ne4ueva [31]

Answer:

242 pages.

Step-by-step explanation:

Let x represent number of pages that Claudia read last week.

We have been given that Claudia is reading a book that has 360 pages. She read some of the book last week. She plans to read 46 pages today. When she does,she will be 4/5 of the way through the book.

The number of total page left after reading 46 pages and x pages last week will be equal to 4/5 of 360.

We can represent this information in an equation as:

x+46=\frac{4}{5}\cdot 360

Let us solve for x.

x+46=4\cdot 72

x+46=288

x+46-46=288-46

x=242

Therefore, Claudia read 242 pages last week.

3 0
3 years ago
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