To simplify -36 ÷ (2)(3)^ 2 + 5, we first _____.
A.evaluate the exponent
B.divide -36 by 6
C.multiply the parenthesis
D.divide -36 by 2

The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).

The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.

To calculate the correlation coefficient, we can use the formula:

r = sqrt(SSR/SST)

From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:

r = sqrt(12,323.64/13,538.4) = 0.9541

Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable

Complete Question:

Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541

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Answer:

d

Step-by-step explanation:answer is d on edg

Answer:

32

Step-by-step explanation:

If there are 6 eggs in a row and there are 4 rows, the total number of eggs = 6 x 4 = 24 eggs

The sum of eggs and bagels = 24 + 8 = 32

Answer:

402.124

Step-by-step explanation:

2pirL = 2 x π x 8 x 8

Answer: 804.08

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

split the shape to triangle and a rectangle

the rectangle at the original trapezoid has 2 squares in width and 3 squares for height multiply those numbers by 1/2 you will get 1 square for width and 1.5 squares for the height which is showen in option 1

Answer:

b < \(\frac{7}{4}\)

Step-by-step explanation:

5b - 3 > 9b + 4

-4b - 3 > 4

-4b > 7

b < \(\frac{7}{4}\)

So, the answer is b < \(\frac{7}{4}\)

The options for scatter diagram that accurately represents the data are yes, yes and yes

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, often referred to as vertices, in a network are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, while the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

The estimate aa of the intercept \alphaα is the average of yy decreased by the product of the estimate of the slope and the average of xx.

Because the point close to the residual plot's right edge is substantially farther to the right than the other points, the plot exhibits an outlier.

Furthermore, this outlier has a significant impact because the pattern in the points to the left clearly slopes upwards, suggesting that the regression model does not adequately account for the vast majority of the data.

Hence the correct options are

yes, yes, and yes.

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SOLUTION

y = x^2 - 2x + 1 is a Quadratic equation. And a quadratic equation has two roots.

Answer: The answer is 2

Step-by-step explanation:

The top of the ladder touches a height of 8 feet on the wall. To determine how high on the wall the top of the ladder touches, we can use the Pythagorean theorem.

In this case, the ladder forms the hypotenuse of a right triangle, and the base of the wall and the height on the wall form the other two sides.

Let's denote the height on the wall as 'h'. According to the problem, one end of the ladder is 6 feet from the base of the wall, so the base of the triangle is 6 feet.

We can set up the equation using the Pythagorean theorem:

\((6)^2 + (h)^2 = (10)^2\)

Simplifying the equation:

36 + \(h^2\) = 100

\(h^2\) = 100 - 36

\(h^2\)= 64

Taking the square root of both sides:

h = √64

h = 8

Therefore, the top of the ladder touches a height of 8 feet on the wall.

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Answer:

less thaan

Step-by-step explanation:

becuase you subtract 11 from the x values to get the answer.

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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vector of magnitude 2 in the direction of ū - ū'.

(a) To find the value of a that makes ū = (2, 0, 1) and ū' = (a, 2, a) form a 60° angle , we can use the dot product formula:

ū · ū' = |ū| |ū'| cos(θ)

where θ is the angle between the two vectors.

case, we want the angle to be 60°, so cos(θ) = cos(60°) = 1/2.

Plugging in the values, we have:

(2, 0, 1) · (a, 2, a) = √(2² + 0² + 1²) √(a² + 2² + a²) (1/2)

2a + 2a = √5 √(a² + 4 + a²) (1/2)

4a = √5 √(2a² + 4)

Square both sides to eliminate the square roots:

16a² = 5(2a² + 4)

16a² = 10a² + 20

6a² = 20

a² = 20/6 = 10/3

Taking the square root of both sides, we get:

a = ± √(10/3)

So, the value of a that makes ū and ū' form a 60° angle is a = ± √(10/3).

(b) To find a vector of magnitude 2 in the direction of ū - ū', we first need to calculate the vector ū - ū':

ū - ū' = (2, 0, 1) - (a, 2, a) = (2 - a, -2, 1 - a)

Next, we need to normalize this vector by dividing it by its magnitude:

|ū - ū'| = √((2 - a)² + (-2)² + (1 - a)²)

Now, we can find the unit vector in the direction of ū - ū':

ū - ū' / |ū - ū'| = (2 - a, -2, 1 - a) / √((2 - a)² + (-2)² + (1 - a)²)

Finally, we can scale this unit vector to have a magnitude of 2 by multiplying it by 2:

2 * (ū - ū' / |ū - ū'|) = 2 * (2 - a, -2, 1 - a) / √((2 - a)² + (-2)² + (1 - a)²)

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Answer:

i beleive that B is the best option

Answer:

5/12

Step-by-step explanation:

5/6/2

skip flip multiply

5/6*1/2

5/12

hopes this helps

Answer:

\(\frac{5}{12}\)

Step-by-step explanation:

\(\frac{5/6}{2}=\frac{5}{6 \cdot 2}=\frac{5}{12}\)

Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Step-by-step explanation:

As I do not have the work shown to calculate the number of ways to choose the passengers, I cannot identify the specific error made. However, I can provide some insight on how to approach this type of problem correctly.

When choosing 2 people from a group of 10, we can use combinations, which are denoted as "n choose k" and represented by the formula:

n choose k = n! / (k! * (n-k)!)

where n is the total number of items in the group and k is the number of items to be chosen.

In this case, we want to choose one passenger for first class and one passenger for coach. Therefore, we can separate the group of 10 into two subgroups: one subgroup with 1 person (for first class) and another subgroup with 9 people (for coach).

Using combinations, we can calculate the number of ways to choose 1 person from the subgroup of 1 and 1 person from the subgroup of 9:

(1 choose 1) * (9 choose 1) = 1 * 9 = 9

Therefore, there are 9 ways to choose the passengers to fill the seats.

Given f '(t) = 8 cos(t) + sec²(t), −π/2 < t < π/2, f(π/3) = 4.To find f, we need to integrate the given function f'(t) = 8cos(t) + sec²(t) with respect to t. Integrate 8 cos(t) with respect to t to get 8 sin(t).Integrate sec²(t) with respect to t to get tan(t).

Therefore, f(t) = 8 sin(t) + tan(t) + Cwhere C is an arbitrary constant of integration. We need to find C using the given initial condition f(π/3) = 4.Substitute t = π/3 and f(π/3) = 4 into the above equation to get,4 = 8 sin(π/3) + tan(π/3) + C,4 = 8 (√3/2) + (√3/3) + C,4 = 5.31 + C,C = 4 - 5.31,C = -1.31Substitute C = -1.31 into the above equation to get the final solution ,f(t) = 8 sin(t) + tan(t) - 1.31.

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In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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Answer: x = 5/52

Step-by-step explanation:

By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.

Let be a quadratic function of the form a · x² + b · x + c = 0, whose roots can be found by means of the following formula:

\(x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)     (1)

Where a, b, c are the coefficients of the quadratic function.

In we know that 2 · x² - 2 · x + 5 = 0, then the roots of the polynomial are, respectively:

\(x_{1} = \frac{2 + \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)

\(x_{1} = \frac{2 + \sqrt{4-40}}{4}\)

x₁ = 0.5 + i 1.5

\(x_{2} = \frac{2 - \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)

\(x_{2} = \frac{2 - \sqrt{4-40}}{4}\)

x₂ = 0.5 - i 1.5

By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.

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Answer:

Option B is the correct option.

Step-by-step explanation:

We know that the vertex form of a quadratic's equation is generally expressed as

y = a(x - h)² + k

where (h, k) is called the vertex of the quadratic function

In our case, given the function

\(f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+\frac{25}{2}\)

now comparing the equation with y = a(x - h)² + k

Here:

h = -3

k = 25/2

Therefore, the vertex of the function \(f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+\frac{25}{2}\) is:

(h, k) = (-3, 25/2)

Thus,

The  \(f\left(x\right)=-\frac{1}{2}\left(x+3\right)^2+\frac{25}{2}\)  form most quickly reveals the vertex.

Hence, option B is the correct option.

Answer:

Step-by-step explanation:

Ice sheets have one particularly special property. They allow us to go back in time and to sample accumulation, air temperature and air chemistry from another time[1]. Ice core records allow us to generate continuous reconstructions of past climate, going back at least 800,000 years[2].

Ice coring has been around since the 1950s. Ice cores have been drilled in ice sheets worldwide, but notably in Greenland[3] and Antarctica[4, 5]. High rates of snow accumulation provide excellent time resolution, and bubbles in the ice core preserve actual samples of the world’s ancient atmosphere[6].

Answer:

the answer is actually PS (7x - 7)

Hoped that I helped

Since 1/4 is greater than 1/6 we can infer that Tiffany painted more of the room's wall.

Since most walls are square or rectangular, their surface area may be calculated by multiplying the width and height values, then taking out any spaces for doors or windows. However, unusual architecture and design might lead to the combination of the rectangle with triangular, round, or trapezoidal shapes. Using the fundamental formulas for estimating the area of two-dimensional forms is the key to accurately determining the surface area of a wall.

We must determine the precise dimensions of the parts Tiffany and Roberto painted in order to compare the quantity of each.

Assume for the moment that the wall is one unit in size. Tiffany then painted 1/4.

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Answer:

Step-by-step explanation:

The words "two iles a month" tells us that the expression represened by those words is the "2x" part of the equation. x represents the number of months. The .5 part tells us that he began this process with a half mile.

Answer:

Step-by-step explanation:

∠ADB = ∠CDB = 90°  (equal angles on a straight line are complimentary)

BD=BD                          (common side)

AD = CD                         (D is midpoint of AC)

∴\(\triangle\)ABD ≡ \(\triangle\)CBD          (SAS)  

I hope this is useful.

Answer:

Minimum

Explanation:

This is what the graph looks like. As you can see, there is no point lower than y=-4. That means the graph has a minimum rather than a maximum.

Here's a shortcut! If the coefficient of x² is positive, the graph has a minimum point. If the coefficient is negative, the graph has a maximum point.

Answer:

Value of a= 6

Value of b= 7.81

Step-by-step explanation:

We are given \(tan \theta=\frac{5}{6}\)

and \(cos \theta=\frac{a}{b}\)

We need to find values of a and b

We know that: \(tan \theta=\frac{Perpendicular}{Base}\)

While \(cos \theta = \frac{Base}{Hypotenuse}\)

So, a = Base and b= Hypotenuse

We know the value of base i,e \(tan \theta=\frac{Perpendicular}{Base}=\frac{5}{6}\)

We get Base=6, Perpendicular = 5

To find Hypotenuse we can use Pythagoras theorem

\((H)^2=(P)^2+(B)^2\\H^2=(5)^2+(6)^2\\H^2=25+36\\H^2=61\\H=\sqrt{61}\\H=7.81\)

The value of hypotenuse is 7.81

The value of Base is 6

So, \(cos \theta = \frac{Base}{Hypotenuse} =\frac{a}{b}= \frac{6}{7.81}\)

Value of a= 6

Value of b= 7.81