A linear regression is done on data the line of best fit is y= 1.25x-6.25. What is the residual for the point (1,1)?

15

The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.

Setting Up the Equation

Using the postulate above we can set up an equation that is set equal to BD.

Now, rewrite this using the information we are given in the question.

Solving For BC

Now, we can solve this equation using the properties of equality.

To solve you need to isolate BC. Do this by subtracting 2 from both sides.

This gives us the answer, 15.

Answer:

a

Step-by-step explanation:

f(x)-g(x)=2x square-3x+6-(3x square +4x-8)

2x square-3x+6-3x square-4x+8

-x square-7x+14

Here we go ~

It's been given that :

[tex]\qquad \sf  \dashrightarrow \: \vec{v} = - \vec{u}[/tex]

And magnitude of vector u is 6 units and with a direction 330°

And we are asked to find the magnitude and direction of vector v ~

So, let's get stated ~

As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.

that is :

[tex]\qquad \sf  \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]

[tex]\qquad \sf  \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]

And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.

So, we can just rotate vector u by 180° to get vector v ~

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 150 \degree[/tex]

Conclusion :

let's recall that a circle has a total of 360°.  Check the picture below.

Answer:

42 with 4 extra ounces

Step-by-step explanation:

since we know we can't do 256/6

256, when downed, is 252

252/6 = 42

the most she can make is 42 with 4 more ounces leftover

Answer:

X=10

Step-by-step explanation:

1. 1/3 (2x-8)=4

2. 2x/3 - 8/3 = 4

3. 2x/3 = 4+2 2/3

2x/3 = 6 2/3

2x/3 = 20/3(Criss cross method)

6x = 60

x=10

brainly pls!

Answer:

Step-by-step explanation:

Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r

(100 - 37) : 7 =

63 : 7 = 9

check

37 + 9 * 7 = 100

the answer is good

Answer:

2.80

Step-by-step explanation:

20.44 / 7.3 = 2.8

Brainliest please

The total pipe used for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

Michael glues pipe cleaners around the edges of a rectangular poster. He uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

Total pipe Michael uses = 14

He used a total of 5 pipe cleaners on each long side.

Total pipe cleaner on two long sides = 5×2 = 10

The pipe used on shorter side = 14 - 10 = 4

Total pipe for each of the shorter sides of the poster = 4/2 = 2 pipes

Thus, the total pipe for each of the shorter sides of the poster is 2 if Michael uses a total of 14 pipe cleaners, with 5 pipe cleaners each on the longer sides of the poster.

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Check the picture below.

so hmmm for the sake of completion, let's check where they intersect

[tex]cos^2(x)sin(x)=sin(x)\implies cos^2(x)sin(x)-sin(x)=0 \\\\\\ sin(x)[cos^2(x)-1]=0\implies \begin{cases} sin(x)=0\\ cos^2(x)-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ cos^2(x)-1=0\implies cos^2(x)=1\implies cos(x)=\sqrt{1} \\\\\\ cos(x)=1\implies x=cos^{-1}(1)\implies \boxed{x=\pi}[/tex]

now, notice, in the picture the function that is "above" or the "ceiling" function is the sin(x), so we'll get the area under the curve by using "above" - "below" functions.

[tex]\stackrel{above}{sin(x)}~~ - ~~\stackrel{below}{cos^2(x)sin(x)} \implies sin(x)-[1-sin^2(x)]sin(x) \\\\\\ sin(x)-[sin(x)-sin^3(x)]\implies ~~\begin{matrix} sin(x)-sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +sin^3(x)\implies sin^3(x)[/tex]

now let's use the triple angle identity of sine

[tex]\stackrel{\textit{triple angle identity}}{sin(3x)=3sin(x)-4sin^3(x)}\implies 4sin^3(x)=3sin(x)-sin(3x) \\\\\\ sin^3(x)=\cfrac{3sin(x)-sin(3x)}{4}\implies sin^3(x)=\cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{\pi }~sin^3(x)dx\implies \int\limits_{0}^{\pi }~\left[ \cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \right]dx[/tex]

[tex]\displaystyle \cfrac{3}{4}\int\limits_{0}^{\pi }sin(x)dx-\cfrac{1}{4}\int\limits_{0}^{\pi }sin(3x)dx\implies \left. \cfrac{3}{4} \cdot -cos(x) \right]_{0}^{\pi }-\left. \cfrac{1}{4} \cdot \cfrac{-cos(3x)}{3} \right]_{0}^{\pi } \\\\\\ \cfrac{3}{2}~~ - ~~\cfrac{1}{6}\implies \implies \blacktriangleright \cfrac{4}{3} \blacktriangleleft[/tex]

Answer:

i think it's 37.7

Step-by-step explanation:

Answer:

x= -4/3

Step-by-step explanation:

Steps

7x +8 = 4X + 4

Subtract 8 from both sides

7x+ 8-8= 4x + 4-8

Simplify

7x=4x-4

Subtract 4x from both sides

7x-4x=4x-4-4x

Simplify

3X = -4

Divide both sides by 3

3X/3 = -4/3

Simplify

x= -4/3

Answer:

Step-by-step explanation:

Solution

7x+8=4x+4                          Subtract 4x from both sides

7x - 4x + 8 = 4                     Combine

3x + 8 = 4                            Subtract 8 from both sides

3x + 8 - 8 = 4 - 8                 Combine

3x = - 4                                Divide by 3

3x/3 = -4/3  

Answer: x = -4/3

Part (a)

Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.

Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.

After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following

[tex]y_1 \sim mx_1 + b[/tex]

Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean [tex]y_1[/tex]

The ~ symbol is likely found in the upper left portion of your keyboard.

After typing that into the second input box, you should get what you see in the screenshot below.

The parameters your teacher wants are the m and b values.

Desmos is showing these values:

These values are approximate. As the instructions state, do not round the values mentioned.

Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately

This is the regression line. It is the closest line to all of the points.

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

Part (b)

The year 2022 is 2022-1900 = 122 years after the year 1900.

This means we'll plug x = 122 into the regression equation to find the predicted value for y.

y = 0.125873x-7.11916

y = 0.125873*122-7.11916

y = 8.237346

I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346

That then rounds to 8.24

We predict in the year 2022, the minimum wage should be about $8.24

This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.

Answer: $9.45

Step-by-step explanation:

Set up a proportion of 2.70/1 = x/3.5. To solve, multiply 2.70 by 3.5 and divide by 1. 2.70*3.5 = 9.45/1 = 9.45.

Answer: C

Step-by-step explanation:

The graph is shifted 4 units left as seen with (x+4) so x = -4.

The graph is reflected over the x axis as seen with -a

The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]

Answer:

D

Step-by-step explanation:

Changes observed :

The correct option is D.

Answer:

126

Step-by-step explanation:

Answer:

monomial

Step-by-step explanation:

it is correct

Answer:

Graph B

Step-by-step explanation:

Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.

Answer:

False

Step-by-step explanation:

False. Both surface area cannot be find using the same formula.

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Right cone is a cone where the axis of the cone is perpendicular to the base .

Whereas, oblique cone has the axis of cone not perpendicular to the base.

Base area would be same for both right and oblique cones.

But the lateral surface area will be different.

Hence the surface area will be different.

Hence the surface area formula for a right cone is not same to find the surface area of an oblique cone.

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Answer:

17

Step 1: rerrange the data

8 , 10, 12, 14, 17, 19, 19, 22, 24

Q2 is the median
see that the middle number is 17

Answer: As a fraction it is 1/5 but as a percent 20%

Step-by-step explanation:

this is because 12/60=1/5 or 20%

answer is 20%

heres why

ok so if there is 60 balls all together out of all the color and you want to get a blue ball but the blue has less balls out of all the other colored balls so there is would be a less percent of getting a ball of that color out of 100%

you would need to take the blue color of balls and put in a fraction with the amount of balls together

so that would be 12/60

you half 12/60 and you would need to get the percent which is 20% so you have a 20% of getting a blue colored ball

Psychology is the scientific study of mind and behavior.

innahbee (. ❛ ᴗ ❛.)

The probability of the spinner landing only once on yellow in two spins is P = 0.375

All the possible outcomes have the same probability, so, the probability that in two spins the spinner land only once in yellow is given by the quotient between the number of outcomes that have only one yellow and the total number of outcomes.

All the outcomes are:

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

16 in total.

The ones where the spinner lands only once on yellow are:

{RY, BY, YB, YG, GY, YR}

6 outcomes.

So the probability is:

P = 6/16 = 0.375

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Answer:C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5([tex]\sqrt{x}[/tex]) = 20 Divide  by 5

[tex]\sqrt{x}[/tex] = 4        Square both sides

x = 16

Widths can't be negative

Answer: D

Step-by-step explanation:

A = LW

[tex]\sqrt{x}[/tex] * 5 = 20

[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex]  (square both sides)

x * 25 = 400

25x = 400

[tex]\frac{25x}{25} = \frac{400}{25}[/tex]  (divide both sides by 25)

x = 16

[tex]\sqrt{16} = 4[/tex]

x = 16, and the width is 4.

Answer:

i guess 87

Step-by-step explanation:

87.2

nearest must be 87

if 87.5

nearest is 88

See

The rule is If the number aside(right) to the number where to be rounded is less than 5 then it remains same else increases one

So

it will yield as 87

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

Answer:

38 and 28

Step-by-step explanation:

let the 2 numbers be a and b

(a - b)= 10.................................................1

1/6(a + b) = 11

hence (a + b) = 66...................................2

adding 1 and 2

a -b + a + b = 10 + 66

2a=76

a = 38

b=28