Solve the equation. a+3(a−1)=3(2+1) Enter the correct answer in the box. a=

A linear model that best fits the overall pattern of points is given by the

regression line of the data.

Reasons:

a. Points on the graph are;

(6, 218),

The slope, b, regression line equation is given by the following formula;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right) }{\sum \left(x_i - \overline x\right )^2 }}[/tex]

The regression line equation is; [tex]\overline y = b \cdot \overline x + a[/tex]

Where;

[tex]\overline x[/tex] = 18.732

[tex]\overline y[/tex] = 187.24

[tex]\sum \left(x_i - \overline x\right) \times \left(y_i - \overline y\right)[/tex] = -4926.59

[tex]\sum \left(x_i - \overline x\right )^2[/tex] = 792.3944

Therefore;

[tex]b = \dfrac{-4926.59}{792.3944 } \approx -6.2173[/tex]

[tex]a = \overline y - b \cdot \overline x[/tex]

Which gives;

a = 187.24 - (-6.2173) × 18.732 ≈ 303.70

The equation of the line is therefore; [tex]\overline y = \mathbf{-6.2173 \cdot \overline x + 303.70}[/tex]

Using the above regression line equation, the linear model of the scatter

plot can be drawn as presented in the graph created with MS Excel.

b. The slope of the line is b = -6.2173

c. The relationship between price per serving and sodium per serving is

as follows;

When the price per serving increases by 1 cent, the sodium per serving

decreases by 6.2173 mg.

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To combine like terms, you have to add the same variables and all

First You have to find if the Numbers are positive or Negative

2s is positive

4w is Negative because i has Minus sigh before it

5 is Positive because it has added sigh

6s s Positive because it has added sign

Second you have to find the Like terms

2s+6s=8s

so, the new equation is

8s-4w+5.

That is the simplest

If you have questions just ask me I went through it pretty fast

Answer=

D

Step-by-step explanation

because of the dot/line at the top of the number it means it is a continuous same number

for example, 0.3 with a dot/line on top means it is 0.333333...

so 0.55...+0.33...=0.88...

and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100

Answer:

y=-1/7x

Step-by-step explanation:

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

m=(-1-1)/(7-(-7))

m=-2/(7+7)

m=-2/14

simplify

m=-1/7

--------------------

y-y1=m(x-x1)

y-1=-1/7(x-(-7))

y-1=-1/7(x+7)

y=-1/7x-7/7+1

y=-1/7x-1+1

y=-1/7x

It's probably 52 or 40.

1

Step-by-step explanation:

true ya false you say me

Answer:

1/6

Step-by-step explanation:

P(A) = probability a student buys lunch = 60% = 0.6

P(B) = probability a student buys lunch and dessert = 10% = 0.1

We are looking at the probability that a student buys lunch and dessert on the condition that they already bought lunch. Therefore, we are looking at a conditional probability.

P(B given A) = P(A and B) / P(A)

= 0.1 / 0.6

= 1/6 ≈ 0.167

Answer: -2x + 12

Step-by-step explanation:

2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12

The answer it 9300 so 9296 round to is 9300

Answer:

its 1.944

Step-by-step explanation:

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

Answer:the first option

Step-by-step explanation:

I'll help.

The answer to your question is True!!

====================================================

Work Shown:

x = number of windows purchased

The cost expression is 145.50x+3150 because the "145.50x" portion represents the $145.50 per window charge, then we tack on the fixed fee of $3150. Set this cost expression equal to the total charge ($5769) and solve for x.

[tex]145.50x+3150 = 5769\\\\145.50x = 5769-3150\\\\145.50x = 2619\\\\x = 2619/(145.50)\\\\x = 18\\\\[/tex]

They bought 18 windows.

Answer:

v=[tex]\frac{(w+v)/t}{2}[/tex]

Step-by-step explanation:

just inverse operations and you will always get your answer :)

Answer:

The one you clicked on in the picture is correct

Step-by-step explanation:

By elimination you can tell that it is the bottom two answers (+3 is inverse of -3). And it is the answer you selected because it cube roots whats in parentheses. So you are correct with the answer you have selected right now

Answer:  infinitley many solutions

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

[tex]\frac{5}{60}[/tex] ( divide numerator/ denominator by 5 )

= [tex]\frac{1}{12}[/tex] ( in simplest form )

(2)

both quantities must have the same units

1 hour = 60 minutes , then

[tex]\frac{60}{40}[/tex] ( divide numerator/ denominator by 20 )

= [tex]\frac{3}{2}[/tex] ( in simplest form )

(3)

1 week = 7 days then 2 weeks = 2 × 7 = 14 days , so

[tex]\frac{14}{4}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{7}{2}[/tex] ( in simplest form )

(4)

[tex]\frac{8}{30}[/tex] ( divide numerator/ denominator by 2 )

= [tex]\frac{4}{15}[/tex] ( in simplest form )

(5)

[tex]\frac{9}{45}[/tex] ( divide numerator/ denominator by 9 )

= [tex]\frac{1}{5}[/tex] ( in simplest form )

Answer:

8 yards

Step-by-step explanation:

1 yard is equal to 3 feet, so we just do 24/3 = 8 yards

Answer:

8

Step-by-step explanation:

1 feet is 3 yards so 24 yards is 8

Answer:

x=2 and XM=11

Step-by-step explanation:

because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.

set these expressions equal and solve:

4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:

x=2

then to find XM, plug in this value of x to get XM=11

4(2)+3=11

Answer:

40x --14

Step-by-step explanation:

Multiply 9 and 2 to get 18

Use distribute property

Multiply 8 by 5x -15

Subtract 32 from 18 = -14

Step-by-step explanation:

convert kg into grams

1kg=1000g

1.5kg/350g=1.5×1000g/350

1500/350=300/70

=30/7

ratio will be 30:7

answer is 4.2g

The answer to the ratio is:

4.2g

First of all, we need to convert the kg to g

This can be done by multiplying the Kg by 1000

1.5kg x 1000= 1500g

Next, we solve the ratio since they are in the same parameters

This would be 1500g:350g

1500/350= 30/7.

Therefore, the ratio would be 30:7

Finally when further broken down, it would be 4.2g

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Answer:0.07% because 710-654 is 56 and 56 divided by 710 is 0.07

Answer:

Step-by-step explanation:

Find the difference between the actual and estimate, this is the error:

Find the percent error, which is the error over the actual:

Answer:

I think it's 33.

Hope that helps you.

Step-by-step explanation:

it will be 33 because the interquartile we give it by Q3 - q1

Q3 median of 84 plus 90 divided by 2 equal 87

q1 equal 54

Answer: why do they have so many cars what are you trying to ask and what does Mario have to do with this?

Step-by-step explanation:

please change your question.

Answer:

[tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]

Step-by-step explanation:

Because x=1 and x=4 are the solutions to x-1=0 and x-4=0, then we have (x-1)(x-4) in the denominator.

Because (-1,0) and (-6,0) are the solutions to x+1=0 and x+6=0, then we have (x+1)(x+6) in the numerator.

Now we have [tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex] where we plug in (0,8) to solve for a:

[tex]y=\frac{a(x+1)(x+6)}{(x-1)(x-4)}[/tex]

[tex]8=\frac{a(0+1)(0+6)}{(0-1)(0-4)}[/tex]

[tex]8=\frac{6a}{4}[/tex]

[tex]32=6a[/tex]

[tex]\frac{32}{6}=a[/tex]

[tex]\frac{16}{3}=a[/tex]

Therefore, the equation for the rational function is [tex]y=\frac{\frac{16}{3}(x+1)(x+6)}{(x-1)(x-4)}[/tex]

Answer:

[tex] y = -\dfrac{11}{2}x - 52 [/tex]

Step-by-step explanation:

Line through points (-10, 3) and (-8, -8).

slope = (-8 - 3)/(-8 - (-10)) = -11/2

y = mx + b

y = (-11/2)x + b

-8 = (-11/2)(-8) + b

-8 = 44 + b

b = -52

y = (-11/2)x - 52

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope fo the line passing through (-10,3) and (−8, -8) is

Slope, m = (-8-3)/(-8+10) = -11/2

Now, equate a point in the equation,

3 = -10(-11/2) + C

3 = 55 + C

c = -52

Hence, the equation of the line passing through (-10,3) and (−8, -8) is y=(-11/2)x-52.

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