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3 years ago

Which of the following correlation values represents a perfect linear relationship between two quantitative

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Answer:

C. -1

D. 1

Step-by-step explanation:

A perfect linear relationship is indicated by a correlation with a magnitude of 1. The sign of the correlation coefficient is the sign of the slope of the line describing the relationship. It may be positive or negative.

The appropriate choices are ...

C. -1

D. 1

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Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi

maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ $x=\frac{x_{1}+x_{2}}{2}$ and $y=\frac{y_{1}+y_{2}}{2}$

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is $x=\frac{-31+29}{2}=-1$

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is $y=\frac{8+-10}{2}=-1$

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed $\frac{2}{3}$ of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is $x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11$

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is $x=\frac{(8)(1)+(-1)(2)}{2+1}=2$

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0

3 years ago

W = p ( y -z ) Please solve this for z.

11111nata11111 [884]

w = p(y - z)

divide p on both sides

$\frac{w}{p} = y - z$

Subtract y on both sides

$\frac{w}{p} - y = -z$

Divide -1 on both sides

$-\frac{w}{p} +y=z$

8 0

3 years ago

What is the value of the expression 6/7 divided by 3/4

liraira [26]

The answer is 8/7. 6/7 divided by 3/4 = 6/7 x 4/3. 6/7 x 4/3 = 24/21 = 8/7

3 0

3 years ago

Need help on this math

Ainat [17]

Answer:

ln ojbiu vgj hvn hv vc fgc hcv\\

Step-by-step explanation:

6 0

3 years ago

Calculate the value of the following factorial expressions.

never [62]

Answer:

(a) 7

(b) 5040

(d) 132

Step-by-step explanation:

We have to calculate the value of given expression

(a) $\frac{7!}{6!}$

$\frac{7!}{6!}=\frac{7\times 6!}{6!}=7$

(b) $\frac{10!}{6!}=\frac{10\times 9\times 8\times 7\times 6!}{6!}=10\times 9\times 8\times 7=5040$

(d) $\frac{12!}{10!}=\frac{ 12\times 11\times 10!}{10!!}= 12\times 11=132$

6 0

3 years ago