"Consider the following regression equation: Y = 30 + 8X. If SSE = 960 and SS Total = 1,600., then the correlation coefficient is _______.
Multiple Choice
−0.632
+0.70
+0.632
−0.70"

Answer:

Your answer is: -14k-14

Step-by-step explanation:

Answer:

2.19

Step-by-step explanation:

Answer:

48°

Step-by-step explanation:

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An initial fee of $45 has to be paid to the provider and a charge of $35 per month.

When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it. The typical form of a linear equation with one variable is Ax + B = 0. The variables x and A in this situation are variables, but B is a constant. The typical form of a linear equation with two variables is Ax + By = C. In this case, we have the variables x and y, the coefficients A and B, and the constant C.

A linear equation is in the form:

y = mx + b

Here y, x are variables, m is the rate of change and b is the initial value of y.

Let C represent the total cost of service for x months. Given:

C = 35x + 45

This means an initial fee of $45 has to be paid to the provider and a charge of $35 per month.

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The common denominator of both fractions is; 8 and the result of the fractions addition is; Choice B; 9/8.

It follows from the task content that the result of her fraction addition is to be determined.

Since the given expression which is to be evaluated is; 1/2 + 5/8.

However, the common denominator of both fractions is 8 which is the LCM of both denominators.

Therefore, the fractions can be written as follows;

4/8 + 5/8

= (4 + 5) / 8

= 9 / 8.

The result of the fraction addition is therefore; 9 / 8.

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Answer:

4

Step-by-step explanation:

The correct answer is 4.

Answer: 720

Step-by-step explanation:

Volume = l x w x h, so 9 x 10 = 90, 90 x 8 = 720.

Hope this helps.

Answer:7.9

Step-by-step explanation:

square root of 63 is 7.9

Answer:

Step-by-step explanation:

\(\sqrt{63} =\) \(\sqrt{7}\)×\(\sqrt{9}\)

     = \(\sqrt{7}\) × 3

    = 3\(\sqrt{7}\)

If the mean weight of 4 backfield members on the football team is 211lb and the mean weight of the 7 other players is 203lb, the mean weight of the 11-person team is 206lb.

The mean refers to the average of the data value.

The mean can be computed as the quotient of the total value divided by the number of items in the data set.

The mean weight of 4 backfield members on the football team = 211lb

The total weight of the 4 backfield members = 844lb (211 x 4)

mean weight of the 7 other players on the football team = 203lb

The total weight of the 7 other players = 1,421lb (203 x 7)

The total weight of the 11 football team members = 2,265lb (844 + 1,421)

The average or mean weight of the 11 members = 205.9lb (2,265 ÷ 11)

= 206lb

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Answer:

Question 1: A - 5,400sqft

Question 2: 11 bags of fertilizer

Step-by-step explanation:

Question 1: You need the areas of the white squares added together and then subtracted from the total area of the park.

Question 2: To find the number of bags needed to fertilize the grass we simply divide the area one bag can fertilize by the shaded area. We could use a basic equation such as:

In this equation x represents the number of bags needed to fertilize the shaded area. The answer is 10.8, but logically speaking you cannot buy .8 of a bag so you just round up to 11.

Answer:

Step-by-step explanation:

30 is an opposite angle (2 angles of 30°)

sum of all angles = 360°

360 - 90 -30 - 150 - 30 = 60°

check

60 + 30 + 150 + 30 + 90 = 360°

the answer is good

Answer:

b = 60

Step-by-step explanation:

A straight line is 180 degrees

30+90+b = 180

Combine like terms

120 +b = 180

b =180-120

b = 60

Answer:

1. a) x b)1

2. a)x^3 b) 3

3. a) 3x^7 b) 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/2 = 20

*2      *2     (2 cancels)

 x = 40

Answer:

x=40

Step-by-step explanation:

The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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The main idea of Sonia Sotomayor's opening statement is that the role of a judge is to fairly apply the law to benefit the public good.

The text that best supports the answer to part a is option b: "those decisions have not been made to serve the interests of any one litigant, but always to serve the larger interest of impartial justice." This statement highlights Sonia Sotomayor's belief that the decisions she has made as a judge have been guided by the principle of impartial justice rather than favoring any specific party. This aligns with the main idea mentioned in part a, which states that Sonia believes the role of a judge is to fairly apply the law for the public good. By emphasizing that her decisions serve the larger interest of impartial justice, she underscores the importance of her commitment to fairness and the public's well-being. This reinforces the idea that Sonia's primary focus as a judge is on upholding the law for the benefit of society rather than personal or partisan interests.

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To find the product, we need to first factor the numerators and denominators of both fractions:

x^2 + 9x + 20 = (x + 5)(x + 4)

x^2 - x - 12 = (x - 4)(x + 3)

x^2 + 3x - 4 = (x + 4)(x - 1)

Substituting these into the expression, we get:

[(x + 5)(x + 4)/(x + 3)] * [(x - 4)(x + 3)/(x + 4)(x - 1)]

Now, we can simplify the product by cancelling out common factors:

[(x + 5) * 1/(x - 1)] * [(x - 4) * 1/1]

= (x + 5)(x - 4)/(x - 1)

So the product in simplest form is (x + 5)(x - 4)/(x - 1).

However, there is a restriction on the variable because the expression involves division by (x + 3), (x - 1), and (x - 4). Therefore, x cannot be equal to -3, 1, or 4, since these values would make the denominators zero and the expression undefined.

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Options (B), (C), (E) are correct.

The equations that can result from adding or subtracting the given equations are,

4x - 4y = 16 , 2x - 6y = -8 and -2x + 6y = 8

Given, two equations

x + y = 12 and 3x - 5y = 4

Now, On adding both the equations, we get

x + y = 12

3x - 5y = 4

=> 4x - 4y = 16

On subtracting first equation from second, we get

3x - 5y = 4

x + y = 12

=> 2x - 6y = -8

On subtracting second equation from the first, we get

x + y = 12

3x - 5y = 4

=> -2x + 6y = 8

Hence, the equations that can result from adding or subtracting the given equations are,

4x - 4y = 16 , 2x - 6y = -8 and -2x + 6y = 8

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The solution to the given initial value problem is y(t) = (1/4)(e^3t - e^2t). To solve the given initial value problem, we first find the characteristic equation associated with the homogeneous equation.

y" - 3y + 2y = 0. The characteristic equation is r^2 - 3r + 2 = 0, which can be factored as (r - 1)(r - 2) = 0. This yields two distinct roots: r1 = 1 and r2 = 2. Since the roots are distinct, the general solution to the homogeneous equation is given by h(t) = c1e^t + c2e^2t, where c1 and c2 are arbitrary constants to be determined. Applying the initial conditions y(0) = 0 and y'(0) = 0, we find that c1 = -c2 = 0.

Next, we seek a particular solution to the non-homogeneous equation y" - 3y + 2y = e^3t. Since the right-hand side is an exponential function with the same form as the characteristic equation, we assume a particular solution of the form p(t) = Ae^3t, where A is a constant to be determined.

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The values of VT and ST for the given rectangle are 13 and 23.56 respectively.

In Euclidean planar geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equirectangular quadrilateral (360° / 4 = 90°), since equiangle means all angles are equal; or a parallelogram containing right angles. A rectangle with four sides equal in length is a square. The term "rectangular" is sometimes used to refer to a non-square rectangle. A rectangle whose vertices are ABCD is called a Rectangle.

The given Parameters:

RV = x + 6

US = 5x - 9

RS = 11

The value of VT and ST is calculated as follows;

from the given diagram we can conclude the following;

   2RV = RT = US

⇒ 2(x +6) = 5x -9

⇒ 2x + 12 = 5x -9

⇒ 21 = 3x

⇒ x = 7

RT = 2RV = 2VT = 2(7 + 6) = 26

VT = ¹/₂ x 26

VT = 13

The value of ST can be determined from Pythagoras theorem as follows;

   ST = \(\sqrt{RT^2 - RS^2}\)

⇒ ST = \(\sqrt{26^2 - 11^2}\)

⇒ ST = 23.56

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Using the arrangements formula, it is found that there are 720 words that can be formed.

The number of possible arrangements of n elements is the factorial of n, that is:

\(A_n = n!\)

In this problem:

\(T = 6 \times 5! = 6! = 720\)

There are 720 words that can be formed.

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We can see here that the equation of the blue line is: y = -x -1.

Finding the value(s) of the variable(s) that make the equation true is the aim of an equation. These numbers are referred to be the equation's roots or solutions.

Finding an equation's answers may require algebraic manipulation, substitution, factoring, or other techniques, depending on how difficult the problem is.

The two points can be seen as thus:

(-1, 0) (0, -1)

Slope = -1.

Suppose, y = -x + a       (1, 0)

0 = - (-1) + a

a = -1

Thus, the equation is y = -x -1.

The complete question is attached in given image below.

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Polygon A has been transformed to polygon B as C. it translate 5 units right and 4 units down

Polygon A has been transformed to polygon B by translating 5 units right and 4 units down. This means that each vertex of polygon A has been moved 5 units to the right and 4 units down. For example, if the vertex of polygon A is at (1, 2), then the corresponding vertex of polygon B will be at (6, -2).

As you can see, each vertex of polygon A has been moved 5 units to the right and 4 units down to get the corresponding vertex of polygon B. This is a translation transformation.

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Answer:

reorder 7e^6x and -5x^3

y=-5x^3 +7e^6x +3e

Step-by-step explanation:

Now thats if its 7e to the power of 6x

We need to find the equation of a straight line that best fits the data points. Using a graphing calculator or a regression analysis, we can find that the linear equation is:

Number sold = 54.876(year) - 90990.3

b) To develop a second-degree estimating equation, we need to find the equation of a curve that best fits the data points. Using a graphing calculator or a regression analysis, we can find that the second-degree equation is:

Number sold = -3.855(year)^2 + 148.69(year) - 133126.2

c) To estimate the number of mice that will be sold in 1998, we need to substitute the year 1998 into both equations:

Linear estimating equation: Number sold = 54.876(1998) - 90990.3 = 909.2 thousand mice

Second-degree estimating equation: Number sold = -3.855(1998)^2 + 148.69(1998) - 133126.2 = 824.4 thousand mice

d) If we assume the rate of increase in mouse sales will decrease soon based on supply and demand, the linear estimating equation would be a better predictor as it assumes a constant rate of increase. The second-degree equation assumes a non-constant rate of increase, which may not hold true in the future.

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Answer:

Line A has a slope of -4

Line A and line B have the same slope

Step-by-step explanation:

Line A is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.  As we can see, -4 is m in line A so -4 is the slope of line A.

If we have two points on a line, we can find the slope using the slope formula

\(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }\), where x1 and y1 are one of the points and x2 and y2 come from the other point.

Thus, if we allow (-2, 1) to be x1 and y1 and (1, -11) to be x2 and y2,

\(m=\frac{-11-1}{1-(-2)}\\ m=-4\)

Since the slope of Line B is -4, it has the same slope as line A

We want to solve the following equation

x² + 16x + 5 = 0

↓

x² + 16x = 5

We want to rewrite the equation so its left side is

(x + a)²

We know that

(x + a)² = x² + 2ax + a²

where a is a number, then, we want that the left side look something like

x² + 2ax + a²

Then we first want to find which must be the number a in this case.

Since 2 · 8 = 16, then the left side is

x² + 16x = x² + 2 · 8x

then, in this case a would be 8

a = 8

We want that the left side of our equation looks like:

x² + 2ax + a²

Since it has the first two terms

x² + 16x = 5

we have to add a² = 8² = 64

We add it both sides of the equation:

x² + 16x + 8² = 5 + 64

x² + 2 · 8x + 8² = 69

Now, we can write it as (x + a)²

x² + 2 · 8x + 8² = 69

↓ since (x + a)² = x² + 2ax + a²

(x + 8)² = 69

In order to solve the equation, we want to "leave x alone" on the left side:

(x + 8)² = 69

↓ squaring root both sides

(x + 8) = ±√69

x + 8 = ±√69

↓ taking 8 to the right side

x = - 8 ±√69

We have two solutions:

x₁ = - 8 -√69

x₂ = - 8 + √69

Since

There are 12 players of right handed, according to the question.

What do you mean by percentage?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

According to data in the given question,

We have given data:

A local little league has a total of 60 players of whom 20% are right-handed.

Let x be the total number of players that are right-handed.

The value of x can be found as follow:

x = 20% of 60

x = (20/100)60

x = 0.2(60)

x = 12

Therefore, the total number of players that are right-handed is 12, if the local little league has a total of 60 players of whom 20% are right-handed.

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The value of x is 15.9

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.

Using trigonometry,

tan 53 = P / B

1.327 = x/ 12

x 12* 1.327

x= 15.9

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