Solve for x. 4 1/2 ≤ 1.2x
x ≥ 3 3/4
x≤3 3/4
x≥5 2/5
x≤5 2/5

The correlation coefficients off both the scatter plots are mentioned above.

        [tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]

       where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

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[tex]x+y =6 ~~~.....(i)\\\\x =3y -2~~.....(ii)\\\\\text{Substitute}~ x =3y-2~ \text{in equation (i):}\\\\\\3y -2 +y =6\\\\\implies 4y = 6+2\\\\\implies 4y = 8\\\\\\\implies y =\dfrac 84 =2\\\\\text{Substitute y =2 in equation (ii):}\\\\x = 3(2) -2\\\\\implies x = 6-2 =4\\\\\\\text{Hence,}~ (x,y) = \left(4, 2\right)[/tex]

The grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

From the given function, we can see that the equivalent function for a number of 100 boxes is given as;

c(n) = 1.9n

If n = 100

c(100) = 1.9(100)

c(100) = 190

Hence the cost of 100 boxes will be $190

Given the sales function s(c) = 1. 3c, the grocery store's sales from selling cereal if the grocery store buys 100 boxes will be expressed as:

[tex]s(c) = 1. 3c\\s(190)=1.3(190)\\s(190)=$247[/tex]

Hence the grocery store's sales from selling cereal if the grocery store buys 100 boxes and sells all of them are $247

Learn more on functions here: https://brainly.com/question/17043948

Answer:

1. (-2, 3)

2. (-4, -6)

3. (3, -6)

4. (-5, 2)

5. (9, 1)

1. (-3, -2)

2. (6, -4)

3. (6, 3)

4. (-2, -5)

5. (-1, 9)

Answer:

D. 4+2 = 2+4

Step-by-step explanation:

Commutative property of addition states that the answer does not change when you change the order of the equation.

Example:

a+b = b+a

Hope this helps! Have a great day!

Answer: 4+2=2+4

Step-by-step explanation:

Commutative property of addition states that the answer does not change when you change the order of the equation.

Example:

a+b = b+a

100% correct

Answer:

2.45 days.

Step-by-step explanation:

35% of 7 days is 2.45 days :) please thank.

This should be 20.

50% of 20 is 10. If you subtracted 15% from 10, you would get 3 which then makes it 7. Therefore, 35% of 20 days is 7 days.

Answer:

67-63x

Step-by-step explanation:

Answer:

29+8x

Step-by-step explanation:

5+8(3+x)

Expand 8(3+x)

= 5+24+8x (add the numbers)

= 29+8x

Answer:

3. x=14° y=7

4. x=29° y=3

Step-by-step explanation:

3. this is a 45 - 45- 90 triangle

so the side is a-a-a√2 ( two sides are the same)

4y-3=10+2y+1 -- collect like terms

4y-2y=10+1+3

2y=14

y=7

find the angle of the inside triangle

180-59-90 =

31°

we know the big triangle was a 45-45-90 angle

so x+31=45

x=45-31

x=14°

4. this is a square, all sides are same

5y+3y=24

8y=24

y=3

angle is 90°

x+x+9y+5=90

we know y=3 --substitute

x+x+9(3)+5=90

2x+27+5=90

2x=90-27-5

2x=58

x=58/2

x=29

justin bieber is white

Answer:16

Step-by-step explanation:

144^0.5 = 12

400^0.5 = 20

a^2=b^2+c^2

20^2 = 12^2 +x^2

x^2 = 400-144= 256

x =16

Answer:

16

Step-by-step explanation:

Answer:

The slope is -2

Step-by-step explanation:

y+6=24-2x

Subtract 6 from each side

y+6-6=24-6-2x

y = 18 -2x

Rewriting

y = -2x+18

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is -2 and the y intercept is 18

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)

The equation of a line so that it is perpendicular to a given point will be

y-y0=m (x - xo)

The standard equation of the line is better written in point-slope form expressed as:

y-y0=m(x - xo)

where: m is the slope of the given line (x0, y0) is any point of the giuven line.

m is the slope of the given line

(x0, y0) is any point on the given line

If the given slope of the  line is m, the slope of the line perpendicular will be expressed as -1/m

The equation of a line so that it is perpendicular to a given point will be

y-y0=[tex]\frac{-1}{m}[/tex] (x - xo)

Answer:

135°

Step-by-step explanation:

seg AB=seg OB

tan ∠AOB = 1

∠AOB = 45°

∠AOC = 135°

Answer:

1/3 ^ 1/3 * 1/3 = (1/3)^3 = 1/27

Answer:

 70 * 0.895 = 62.65

OR

1   0.895

 70 x

-Cross-multiply

[tex]\frac{70 * 0.895}{1}[/tex] = 62.65

Answer:

33% of the marbles were red

Answer:

12.55

Step-by-step explanation:

Answer:

1.6 hrs remaining, or 3.12 km/h

Step-by-step explanation:

Answer:

The slopes are equal

Step-by-step explanation:

Calculate the slope m of f(x) using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

g(x) = - 3x - 6 ← is in slope- intercept form

with slope m = - 3

Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel

The dimensions of the dilated image is 125 millimeters by 300 millimeters.

An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.

The scale factor is 2.5. This means that the dimensions are 2.5 larger. Dimensions of the dilated image : 50 x 2.5 and 120 x 2.5 = 125 mm by 300 mm

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Answer:

x^3-x^2-10x-8

Multiply each term in the first expression by each term in the second expression and combine like terms.

Answer:

A

Step-by-step explanation:

1.5 c flour = 12 cupcake

0.75 c flour = 6 cupcake

1.5 + 1.5 + 0.75 = 3.75 c flour

Answer: JGI

Step-by-step explanation:

An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI

Have a good day!

Answer:

Lateral : 103.67 in²

Total : 864 in²

Step-by-step explanation: there you go