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3 years ago

What is the answer to 4x-7=-271

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

-66

Step-by-step explanation:

you have to add 7 to both sides which leaves you with 4x=-264.

Now you divide -264/4 which gets you to x=-66

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What is the correlation coefficient between the variables? Round to three decimal places. Enter your answer in the box. r≈ Age S

Free_Kalibri [48]

There are two data sets x and y.

X includes = 14 25 19 35 20 12 5

Y includes = 360 293 315 212 315 331 404

to solve for the correlation coefficient, we need to get the following values step by step

Step 1: Find the mean of each set.

The mean of X = 18.571

The mean of Y = 318.571

Step 2: Subtract the mean of X from every value X value (denote this with letter a). Do the same for y (denote this with letter b).

The mean of X subtracted from every X value (a):

14 - 18.571 = -4.571

25 - 18.571 = 6.429

19 - 18.571 = 0.429

35 - 18.571 = 16.429

20 - 18.571 = 1.429

12 - 18.571 = -6.571

5 - 18.571 = -13.571

The mean of Y subtracted from every value of Y (b):

360 - 318.571 = 41.429

293 - 318.571 = -25.571

315 - 318.571 = -3.571

212 = 318.571 = -106.571

315 - 318.571 = -3.571

331 - 318.571 = 12.429

404 - 318.571 = 85.429

Step 3: Calculate: a * b, a^2 and b^2 of every value.

For a*b

-189.388

-164.388

-1.531

-1750.816

-5.102

-81.673

-1159.388

Sum: -3352.286

For a²

20.898

41.327

0.184

269.898

2.041

43.184

184.184

Sum: 561.714

For b²

1716.327

653.898

12.755

11357.469

12.755

154.469

7298.041

Sum: 21205.714

Step 4: Solve using this formula

r = ∑a * b / √((a²)(b²))

r = -3352.286 / √((561.714)(21205.714))

= -0.9713

The correlation coefficient is -0.971

8 0

3 years ago

Read 2 more answers

Graph the image of the given triangle under a dilation with a scale factor of 1/3 and center of dilation (0, 0) .

Vinil7 [7]

We are given : A scale factor of 1/3 and center of dilation (0, 0).

For the given image, the coordinates of the vertices of the triangle are

(0,9), (0,0) and (-6,0).

We can apply formula for finding new coordinates:

Scale factor * [Vertex coordinates of the given image - Coordinate of Center of dilation] +Coordinate of Center of dilation.

Applying same formula to each coordinates we are given.

(0,9) --> 1/3 [ (0,9) - (0,0) ] + (0,0) ] = 1/3 [ (0,9)] +(0,0) = (0,3).

(0,0) --> 1/3 [ (0,0) - (0,0) ] + (0,0) ] = 1/3 [ (0,0] +(0,0) = (0,0).

(0,9) --> 1/3 [ (-6,0) - (0,0) ] + (0,0) ] = 1/3 [ (-6,0)] +(0,0) = (-2,0).

Now, we can plot those resulting coordinates on the graph and form a triangle.

6 0

3 years ago

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Pls help two geometry questions attached.

-BARSIC- [3]

Answer:

the answer is D and A hope this helps

5 0

4 years ago

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Lines m and n are parallel. Which of the other 5 named angles have a measure of 110°?

Cloud [144]

Answer:

2 and angle that is left of 5

Step-by-step explanation:

Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.

4 0

4 years ago

Please help What is the value of x show work

kondor19780726 [428]

Answer:

$\boxed{x = 7}$

Step-by-step explanation:

ΔJKL ~ ΔMNP

So, the sides of both of the triangles are proportional.

Taking proportionality of their sides.

$\frac{JL}{JK} = \frac{MP}{MN}$

=> $\frac{20}{25} = \frac{4x-4}{30}$

Cross Multiplying

20 * 30 = 25(4x-4)

600 = 100x - 100

Adding 100 to both sides

600+100 = 120x

700 = 100x

Dividing both sides by 100

700/100 = x

x = 7

4 0

4 years ago