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2 years ago

Do the following, i mean like... its not THAT HARD

Mathematics

1 answer:

serg [7]2 years ago

7 0

Answer:

y > - (4/3) x - 3

Step-by-step explanation:

use (y2-y1)/(x2-x1) for slope, which is negative (use two points given, (-6, 5) and (3, -7))

y intercept is -3, but you can plug in values for x and y in any of two points given: (-6, 5) and (3, -7)

Then, dashed line indicates values along line are not included in inequality relationship

since shaded region is above line, the inequality uses ">"

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Assume you have noted the following prices for books and the number of pages that each book contains. Book Pages (x) Price (y) A

belka [17]

Answer:

a) $y=0.00991 x +1.042$

b) $r^2 = 0.7503^2 = 0.563$

c) $r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

Step-by-step explanation:

Data given

x: 500, 700, 750, 590 , 540, 650, 480

y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50

Part a

We want to create a linear model like this :

$y = mx +b$

Wehre

$m=\frac{S_{xy}}{S_{xx}}$

And:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=2595100-\frac{4210^2}{7}=63085.714$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=30095-\frac{4210*49}{7}=625$

And the slope would be:

$m=\frac{625}{63085.714}=0.00991$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{4210}{7}=601.429$

$\bar y= \frac{\sum y_i}{n}=\frac{49}{7}=7$

And we can find the intercept using this:

$b=\bar y -m \bar x=7-(0.00991*601.429)=1.042$

And the line would be:

$y=0.00991 x +1.042$

Part b

The correlation coefficient is given by:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For our case we have this:

n=7 $\sum x = 4210, \sum y = 49, \sum xy = 30095, \sum x^2 =2595100, \sum y^2 =354$

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

The determination coefficient is given by:

$r^2 = 0.7503^2 = 0.563$

Part c

$r=\frac{7(30095)-(4210)(49)}{\sqrt{[7(2595100) -(4210)^2][7(354) -(49)^2]}}=0.7503$

4 0

3 years ago

Apply the distributive property to factor out the GCF.<br><br> 22c + 33d=________

slava [35]

Answer:

Step-by-step explanation:

3 0

3 years ago

A water sprinkler sprays in a circular pattern a distance of 10 ft from the sprinkler to the edge. What is the circumference of

vfiekz [6]

Answer:

Step-by-step explanation:

7 0

3 years ago

Y’all pls help me :(

Ilia_Sergeevich [38]

Answer: B

Step-by-step explanation:

When you are multiplying exponents, if the base is the same, then you can directly add the exponents together.

We can see that both bases are 6. That means we can add the exponents.

$3+\frac{1}{4}$ [common denominator]

$\frac{12}{4}+\frac{1}{4}$ [add]

$\frac{13}{4}$

Now, we know that the answer will be $6^1^3^/^4$ .

6 0

3 years ago

Area<br>of a square room is 2601m squared Find<br>The<br>find its perimeter

vampirchik [111]

Answer:

perimeter = 204m

Step-by-step explanation:

area of a square = side²

2601m² = side²

√(2601m²) = √side²

51m = side

perimeter of a square = 4*side

perimeter of this square = 4*51

perimeter of this square = 204m

8 0

2 years ago