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2 years ago

Tell whether the data in the table can be modeled by a linear equation. Explain.

Mathematics

1 answer:

anastassius [24]2 years ago

8 0

Answer:

y = -3x + 7

Step-by-step explanation:

Choosing two points from the given table:

Let (x1, y1) = (-3, 16)

(x2, y2) = (-1, 10)

Plug these given values into the slope formula:

m = (y2 - y1)/(x2 - x1)

= (10 - 16) / (-1 - (-3))

= -6 / (-1 + 3)

= -6/2

= -3

Therefore, the slope is -3.

Next, choose one of the points and plug into the <u>point-slope form</u>:

Let's use (-1, 10) as (x1, y1):

y - y1 = m(x - x1)

y - 10 = -3(x - (-1))

y - 10 = -3(x + 1)

y - 10 = -3x - 3

Add 10 on both sides to isolate y:

y - 10 + 10 = -3x - 3 + 10

y = -3x + 7

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23.

guajiro [1.7K]

The correlation coefficient of the data given in the table, using a calculator, is of 0.35

<h3>How to find the correlation coefficient of a data-set using a calculator?</h3>

To find the coefficient, we need to insert the points (x,y) in the calculator.

In this problem, we have that:

The values of x are: 90, 95, 80, 84, 75, 80.

The values of y are: 80, 90, 90, 95, 75, 85.

Using a calculator, the coefficient is of 0.35.

More can be learned about correlation coefficients at brainly.com/question/25815006

#SPJ1

5 0

1 year ago

The volume of a volleyball is about 288 cubic inches. what is the radius of the volleyball, to the nearest tenth of an inch? use

Len [333]

Answer:

The radius of the volleyball is 8.3 inches

Step-by-step explanation:

Given

$r = \sqrt{\frac{3v}{4\pi}}$

$v = 288$

Required

Determine the value of r

To do this, we simply substitute 288 for v and 3.14 for π in the given equation.

This gives

$r = \sqrt{\frac{3v}{4\pi}}$

$r = \sqrt{\frac{3 * 288}{4 * 3.14}}$

$r = \sqrt{\frac{864}{12.56}}$

$r = \sqrt{68.7898089172}$

$r = 8.29396219651$

$r = 8.3\ inch$ (Approximated)

Hence;

<em>The radius of the volleyball is 8.3 inches</em>

3 0

2 years ago

Read 2 more answers

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?

ikadub [295]

Line M with slope 6 is neither, line n with slope -6 is parallel because only lines with same slope are parallel, line p with slope 1/6 is neither. and line q with slope -1/6 is perpendicular because only the reciprocal of a slope is perpendicular, so reciprocal of 6= 1/6 reciprocal of -6=-1/6 reciprocal of 2= 1/2

8 0

2 years ago

Read 2 more answers

A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality t

lara [203]

1.) |x-7|<20
2.) -13<x<27
3.) D

3 0

3 years ago

Read 2 more answers

Yellowstone Lake, in Wyoming, is the largest high-altitude lake in North America, measuring 20 miles long and 14 miles wide. How

agasfer [191]

Answer:

6.67in long and 4.67in wide

Step-by-step explanation:

Given the amp of the scale 1 inch = 3 mi?

If the measured length is 20miles

Let x be the dimension of the length on the map

1 inch = 3 mi?

x = 20miles

3x = 20

x = 20/3

x = 6.67in

For the width,

Width =14miles

Let y be the dimension of the width on the map

1 inch = 3 mi

y = 14miles

3y = 14

y = 14/3

y = 4.67in

Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map

7 0

3 years ago