Use statement and reason.

Answer:

Step-by-step explanation:

B

The scatterplot of the data is attached accordingly. The Linear Regression equation for Y is ŷ = 0.82X + 2.31. Note that there is a positive correlation. This is because the y variable tends to increase as the x variable increases.

Linear regression is a statistical method for modeling the connection between a scalar output and one or more explanatory factors. When there is only one independent factor, simple linear regression is employed; when there are more than one, multiple linear regression is utilized.

Note that the regression equation is usually given as:
ŷ = bX + a; where

y = dependent variable

b  = Slope/coefficient

X  = Independent Variable
a = Constant/ Intercept.

Notice that the regression line splits evenly between the data points exhibiting a linear relationship that is positively correlated.

From the graphing calculation, we have:

The sum of X = 21

The sum of Y = 33.39

Mean X = 3

Mean Y = 4.77

Sum of squares (SSₓ) = 28

Sum of products (SP) = 22.96

Recall that the regression equation is given as:
ŷ = bX + a;

Where;

b = SP/SSₓ and
a = [tex]M_{y}[/tex] -[tex]bM_{x}[/tex]

Hence,

b = 22.96/28

= 0.82

a = [tex]M_{y}[/tex] - bMₓ = 4.77 - (0.82*3) = 2.31

hence,

ŷ =  0.82X + 2.31.

Lets find Y if x = 10

y = 0.82 (10) + 2.31 [plugging in the value]

= 8.2 +2.31

= 10.51

Let's find X where Y = 10

10 =  0.82X + 2.31. [Plugging in the value]

collect like terms over the equation sign

10-2.31 = 0.82X
⇒ 7.69 = 0.82X [Divide both sides by 0.82
7.69/0.82 = X

X = 9.37804878049
X [tex]\approx[/tex] 9.38

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Answer:

Twenty-three and seven-ninths

Step-by-step explanation:

Might not be correct I don't really remember how to do this

Considering the given figure, the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other is: In parallelogram EFGH show EK is congruent to KG and F.K is congruent to KH

The diagonals refer to the lines running between the two opposite ends of the parallelogram

Bisecting means sharing into two equal parts

congruent means a copy that is equal in dimension hence can be used in place of the other image  

The diagonals of a parallelogram bisect each other means that the diagonals cut each other to form two equal parts such that each part is congruent to each other.

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Compound interest formula:

A = P (1+r/n)^nt

Where:

A = total amount

P = principal investment

r= interest rate in decimal form = 2/100 = 0.02

t= years

n= number of compounding periods in a year= 12

Replacing:

A = 30,000 (1+0.02/12)^4x12

A = 30,000 (1.001666667)^48

A= 32,496.45

Answer:

[tex]\frac{17}{4}[/tex]

Step-by-step explanation:

Replace y with 3/2 and solve for x

2x + 3(3/2) = 13

2x + 9/2 = 13  Subtract 9/2 from both sides

2x = [tex]\frac{13}{1}[/tex] - [tex]\frac{9}{2}[/tex]

2x = [tex]\frac{26}{2}[/tex] - [tex]\frac{9}{2}[/tex]

2x = [tex]\frac{17}{2}[/tex]  Divide both sides by 2

x = [tex]\frac{17}{2}[/tex] ÷ [tex]\frac{2}{1}[/tex]

x = [tex]\frac{17}{2}[/tex] x [tex]\frac{1}{2}[/tex]

x = [tex]\frac{17}{4}[/tex] o r4 [tex]\frac{1}{4}[/tex] or 4.25

The salesman A must make 150 order to make the same amount of salesman B .

In the question ,

it is given that ,

Salesman A gets paid $300 per month

for every sale salesman A get $8 .

let the number of sales made by salesman A be "x" .

So, amount made by salesman A = 300 + 8x

Salesman B earns per month = $1500 .

To make the amount earned by both the salesman same ,

300 + 8x = 1500

8x = 1500 - 300

8x = 1200

x = 1200/8

x = 150

Therefore , The salesman A must make 150 order to make the same amount of salesman B .

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The length has a value of  9 meters

From the question, we have the following parameters that can be used in our computation:

Length = 5 meters less twice it’s width

This means that

Length = 2Width - 5

The perimeter is given as

Perimeter = 38 meters

The perimeter is calculated as

Perimeter = 2 x (Length + Width)

So, we have

2 x (2Width - 5 + Width) = 38

Divide by 2

2Width - 5 + Width = 19

This gives

3Width= 21

Divide

Width - 7

Recall that Length = 2Width - 5

So, we have

Length =  2 * 7 - 5

Evaluate

Length =  9

Hence, the length is 9 meters

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Answer:

Well your answer is down below

Step-by-step explanation:

First as a Inequality −3(2x−5)<5(2−x)

Step 1: Simplify both sides of the inequality.

−6x+15<−5x+10

Step 2: Add 5x to both sides.

−6x+15+5x<−5x+10+5x

−x+15<10

Step 3: Subtract 15 from both sides.

−x+15−15<10−15

−x<−5

Step 4: Divide both sides by -1.

−x−1<−5−1 x>5

So your answer is x>5

hope this helps

~~Wdfads~~

11. The amount he pays in annual state income tax is $1,497.

13. The amount that will be paid for tax will be $2000.

14. The amount he pays in annual state income tax is $707.50.

11. Given;

Annual earnings = $57,900

State tax rate = 3%

Amount earned in exemption = $8,000

Taxable Income = Annual Income - Exemptions

Igor's taxable income = $57,900 - $8,000 = $49,900

Taxable Income × Tax rate = Amount paid as tax

The amount he pays is therefore; $49,900 × 3% = $1,497

13. The amount that will be paid as tax will be:

= 4.6% × $43500

= $2000

Therefore, the amount is $2000.

12. a) We can see that the exemptions for a married person are $4000 and $2000 per dependent. Since there are 2 dependents, therefore:

Amount for exemptions = $4000 + (2 dependents × $2000 per dependent)

Amount for exemptions = $4000 + $4000 = $8000

Amount for exemptions = $8000

b) Taxable wages = Annual gross pay - Exemptions

Taxable wages = $63840 - $8000 = $55840

Annual state income taxes = Taxable wages × State tax rate

Annual state income taxes = $55840 × 4% = $2233.6

14. The amount he pays in annual state income tax is $707.50.

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The general form of the equation: x2 + y2 − 41 = 0

The Correct option is (B).

Given,

A circle with center O (0,0) has point B (4,5) on its circumference

To find the what is the general form of the equation  for the given circle centered at O(0, 0).

Now, According to the question:

How do you find the equation of a circle with center (0,0)?

x2 + y2 = r2 , and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2 .

The general form of the equation:

x2 + y2 − 41 = 0

Hence, The general form of the equation: x2 + y2 − 41 = 0

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We were given that:

For P

Answer:

Salton City could have an elevation less than -2 or greater than 2 (depends on what u meant.

Step-by-step explanation:

Usually when u talk abt elevation, when it is lower than sea level, you write it with a negative sign. If you meant that new Orleans is 2 feet below sea level, the Salton City elevation could be anything less than -2. If you meant 2 feet above sea level, the New Orleans elevation could be anything above 2.

HOPE THIS HELPS!
CAN U PLSSSSSS HELP ME WITH THIS PROBLEM????

5. How many ways are there to distribute 10 indistinguishable candies among 4 different

children? Children may end up with no candies.

Answer:

Step-by-step explanation:

Given p(x) = x⁴ + 4x³ - 7x² - 22x + 24 with known factors (x +4) and (x -1), you want the function written as a product of linear factors, and a sketch of the graph.

A graphing calculator can help with both parts of this. It can show you the remaining zeros are -3 and 2, so the remaining linear factors are (x +3) and (x -2). At the same time, it produces a graph of the function. This is shown in the first attachment.

Synthetic division is a convenient way to find the remaining factors of the polynomial. Dividing by (x+4) gives ...

  p(x) = (x +4)(x^3 -7x +6) . . . . . . shown in the second attachment

And dividing the cubic by (x -1) gives ...

  p(x) = (x +4)(x -1)(x^2 +x -6) . . . . . . shown in the second attachment

The quadratic will have linear terms with constants that sum to 1 and have a product of -6. These constants are 3 and -2.

The rewrite of p(x) is ...

  p(x) = (x +4)(x +3)(x -1)(x -2)

The 4th degree polynomial has a positive leading coefficient, so is above the x-axis at both the left and right ends of the graph. The graph crosses the x-axis at x = -4, -3, 1, and 2.

We note these roots are symmetrical about x=-1, so there will be a maximum at that point. That maximum is p(-1) = (-1 +4)(-1 +3)(-1 -1)(-1 -2) = 3·2·(-2)(-3) = 36. The minimum values will be found approximately halfway between -4 and -3, and again between -1 and -2. Those minima will be approximately p(-3.5) = (-.5)(.5)(-4.5)(-5.5) ≈ -6.2

The y-intercept is +24, the constant in the polynomial.

With the zero crossings, line of symmetry, local maximum, approximate local minima, and the y-intercept, we can make a passable sketch of the graph.

A graph is seen in the first attachment.

Answer:  [-4, 0] which is choice A

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

Reason:

lowest point is when y = -4

highest point is when y = 0

The range is any value of y between these values, including the endpoints themselves. We say the range is [tex]-4 \le y \le 0[/tex] which condenses to the interval notation [-4, 0]

Use square brackets to include the endpoints.

If there were open holes at the highest and lowest points, then we would use curved parenthesis instead.

Note that if the area of any figure is multiplied by a factor of a.

The perimeter will be multiplied by √a

From the problem, the are of the square is multiplied by 1/9, so we need to get the square root of that factor to get the factor for the perimeter.

Therefore, the answer is C. multiplied by 1/3

The relation which represents a function is the mapping diagram.

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value).

In this scenario, the same x-value of the given ordered pairs (3, 2) and (3, 4) have the different output variable (y-value) and as such does not represent a function. Similarly, the table of values has the same x-value (-1) which outputs different numerical values.

Based on the ordered pairs and table shown above, we can reasonably and logically deduce that it is only the mapping diagram that represents a function.

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Answer:

9 square megameters

Explanation:

Given:

We want to find out how many square megameters are in 9,000,000 square kilometers.

Multiply both sides of the equation by 9,000,000.

There are 9 square megameters in 9,000,000 square kilometers.

Answer:

114 cm^2; x = 6: it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

Step-by-step explanation:

for the first one the area of a trapezoid is [tex]\frac{1}{2} h(b_{1} +b_{2})[/tex]

so

first find the height of the triangle

8^2 + h^2 = 10^2

64 + h^2 = 100

h^2 = 36

h = 6

so

the height is 6

now plug it in

[tex]\frac{1}{2} * 6 (25 + 13)[/tex]

[tex]\frac{1}{2} * 6(38)[/tex]

114 cm is the first answer

for the second one you can add all of them together and set them equal to 27

x - 1 + 2x - 4 + 3x - 4 = 27

6x - 9 = 27

6x = 36

x = 6

that is the second answer

it is not possible because the lengths of the sides when solved are not the right size. x - 1 is bigger than 2x - 4 in the picture but in reality it is not. it doesnt make sense

To convert from radical form to exponential in fractional form, we can follow:

Firstly, notice that 9 is the same as 3 squared:

Now, we can apply the change:

Also, notice that we can factor out the 2 on the denominator to cancel with the two on the numerator:

So, the expression in the simples form and fractional exponent is:

SOLUTION:

The parent function is;

The transformation applied is;

Graphing this, we have;

The period is the time to complete a cycle .

From the graph, the period is;

The asymptotes are those lines for which sec x is undefined. those are lines where;

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define what happens when a function is shrunk vertically

When the factor is greater than 1, the condition that satisfies the function is to multiply by 1.4

When the graph is verticcally shrunk, this means that the function is multiplied by 1.4

Hence, the function becomes:

STEP 2: Define what happens when the graph is shifted left by 3 units.

If the function is shifted left by 3 units, this implies that we add 3 units to the x of the function.

This gives:

x+119°=180°(Co-interior angles are supplementary m || n)

[tex]x = 180 - 119 \\ x = 61[/tex]

y=119°(alternate angles are equal m ||n)

GOODLUCK.

Answer:

wow your so goood

Step-by-step explanation:

Answer: $17

Step-by-step explanation:

$425 divided by 25

Answer:

Her hourly rate is $17/hr.

Step-by-step explanation:

We can figure this out by taking the total dollars ($425) and dividing it by how many hours she spent working (25). 425 divided by 25= 17. Therefore, her hourly rate is 17$/hr.

Answer:

$107125.80

working out:

50000x1.115^7=107125.8 (rounded)

Answer: False

Step-by-step explanation: The two lines do not overlap so they do not intercept.

Answer:

see explanation

Step-by-step explanation:

since the dilatation is centred at the origin , then multiply each of the original coordinates by the scale factor of 2

Q (2, 2 ) → Q' (2(2), 2(2) ) → Q' (4, 4 )

P (0, 0 ) → P' (2(0), 2(0) ) → P' (0, 0 )

R (- 2, - 4 ) → R' (2(- 2), 2(- 4) ) → R' (- 4, - 8 )

S (4, - 2 ) → S' (2(4), 2(- 2) ) → S' (8, - 4 )

Answer:

The number “2” that is a outside the brackets multiplies both of the numbers inside the brackets.

Step-by-step explanation:

3+2(2x-4)

3+4x-8

4x-5