If you are trying to determine if an input variable may affect your key characteristic (output variable) by examining the correlation between variables, which tool should you use?
A. X-bar and R chart
B. p-chart
C. Pareto chart
D. Scatter plot diagram
E. Affinity diagram

Which variable is represented by range in a linear function?

A. x-variable

Answer:

16v+4

Step-by-step explanation:

2(8v+2) = 16v+4

Answer:

24y

Step-by-step explanation:

Multiple 6x4 to get 24

and then put the y in to

get your answer

solution÷

6×4y

6×4y=0

multiply 6×4y

24y=0

now send 24 to the right side and divide

y=0÷24

therefore,y=0

Answer:

The unit price of a board game is $6.70

Step-by-step explanation:

1 board/2boards = x/13.4

Cross multiply:

13.4*1/2x

13.4/2x

x=6.7

Hope this helps plz hit the crown :D

Step-by-step explanation:

X=7 or x=5

It might be two answer to this question

\(\huge\textsf{Hey there!}\)

\(\large\textsf{(x - 7) (x - 5)}\)

\(\large\text{DISTRIBUTE each of the numbers}\)

\(\large\textsf{x(x) + (-5)x + (-7(x) + (-7)(-5)}\)

\(\large\textsf{x(x) = \bf x}\bf ^2\)

\(\large\textsf{x(-5) = \bf -5x}\)

\(\large\textsf{-7(x) = \bf -7x}\)

\(\large\textsf{(-7)(-5) = \bf 35}\)

\(\mathsf{x^2 - 5x -7x + 35}\)

\(\large\text{COMBINE the LIKE TERMS}\)

\(\mathsf{x^2 -(5x - 7x) + 35}\)

\(\mathsf{-5x -7x = \bf -12x}\)

\(\mathsf{x^2 - 12x + 35}\)

\(\boxed{\huge\text{Answer: \bf x}^2 \huge\text{\bf - 12x + 35}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitirite1040:)}\)

The corresponding intervals for diameters of the washers as given in the task content is; 3.44 ≤ d ≤ 3.76.

It follows from the task content that the corresponding interval for ths diameter of the washers is to be determined given the circumference interval.

On this note, since the formula given is;

C = 3.14d.

By making d the subject of the formula;

d = C / 3.14.

Therefore, since the lower limit of the circumference is; 10.8 and the upper limit is; 11.1

The lower and upper limit of the diameter, d can be evaluated as follows;

lower limit of d is; d = 10.8 / 3.14 = 3.44

Upper limit of d is; d = 11.1 / 3.14 = 3.76

Therefore, the required interval for diameters of the washers is; 3.44 ≤ d ≤ 3.76.

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If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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The inequality that represents the number of songs and albums that Jorge could download is:

$2*s + $12*a ≤ $50

Here we have the variables:

s = number of songs.

a = number of albums.

Then the total cost can be written as:

$2*s + $12*a

And we know that Jorge has a maximum of $50 to spend, so the total cost can be equal to or smaller than $50, so the inequality is:

$2*s + $12*a ≤ $50

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The height of the flag pole which is described as in the task content is; 8.2m.

The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;

tan 22° = 6/x

x = 6/tan 22 = 14.9m.

Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;

tan 9° = y/14.9

y = 14.9 tan 9° = 2.2m

Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.

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SORRY PLEASE DELETE THIS ANSWER IT ISN'T GOOD AND IS INCOMPLETE I ACCIDENTALLY WROTE IT

The Derivative rate at which the area of the triangle is changing when the base of the ladder is 15 feet from the wall is -3/2 square feet per second.

Let's call the height of the triangle "h" and the base of the triangle "b".

We know that the ladder is 25 feet long, so it is the hypotenuse of the triangle. Using the Pythagorean theorem, we can write:

h^2 + b^2 = 25^2

Differentiating both sides of this equation with respect to time (t), we get:

2h dh/dt + 2b db/dt = 0

We want to find dh/dt (the rate at which the height of the triangle is changing) when b = 15 feet and db/dt = 2 feet per second.

At this point, we can use the Pythagorean theorem again to find h:

h^2 + 15^2 = 25^2

h^2 = 25^2 - 15^2

h = 20 feet

Now, plug in the values and solve for dh/dt:

2(20) dh/dt + 2(15)(2) = 0

40 dh/dt = -60

dh/dt = -3/2 feet per second

(the negative sign indicates that the height is decreasing as the base is pulled away from the wall.)

So the derivate rate at which the area of the triangle is changing when the base of the ladder is 15 feet from the wall is -3/2 square feet per second.

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Answer:

C = 3.14 ft

Step-by-step explanation:

C = 2πr

Step 1: Define

r = 0.5 ft

Step 2: Substitute and Evaluate

C = 2π(0.5 ft)

C = 1π ft

C = π ft

C = 3.14 ft

Answer:

3.14

Step-by-step explanation:

i think its 7

Hope this helps

-scav

Answer: 14%

Step-by-step explanation:

Let's assume that Gabriella traveled $x$ hours at 30 mph and $y$ hours at 10 mph. We know that the total trip took 8 hours, so we can write an equation based on the time:

$$x+y=8$$

We also know that the distance traveled going to the restaurant is the same as the distance traveled coming back home. Let's call this distance $d$. We can use the formula $d=rt$ to express this relationship:

$$30x=10y$$

Now we have two equations with two unknowns:

$$\begin{aligned} x+y&=8 \ 30x&=10y \end{aligned}$$

We can solve for $x$ and $y$ by using substitution. Solving the second equation for $y$, we get:

$$y=3x$$

Substituting this expression for $y$ in the first equation, we get:

$$\begin{aligned} x+3x&=8 \ 4x&=8 \ x&=2 \end{aligned}$$

Therefore, Gabriella traveled 2 hours at 30 mph and 6 hours at 10 mph.

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In this case, 5 percent - 3 percent = 2 percent. However, since we are interested in per capita output,the growth relative to the population size. Dividing the 2 percent growth by the population growth rate of 3 percent and multiplying by 100 gives us approximately 1.94 percent.

To provide a more detailed explanation, per capita output refers to the average output per person in a population. It is calculated by dividing the total output by the population size. When output increases, it can be due to factors such as technological advancements, increased productivity, or expanded production capacity. Population growth, on the other hand, refers to the increase in the number of individuals in a population over time.

When output increases by 5 percent, it indicates that the total output has grown. However, to determine the per capita output, we need to account for the population growth as well. If the population is growing at a rate of 3 percent, it means that the number of individuals in the population is increasing. This increase in population should be considered when calculating the per capita output.

By subtracting the population growth rate of 3 percent from the output growth rate of 5 percent, we obtain the net growth in per capita output, which is approximately 2 percent. This means that on average, each person in the population experiences a growth in output of approximately 1.94 percent after accounting for population growth.

It's important to note that these calculations assume that the output growth and population growth rates are constant and apply uniformly across the entire population. In reality, variations in growth rates and population dynamics can lead to different outcomes.

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The least possible value of N for which the error in approximating the function 3e using the given error bound of  is 307.

To find the least possible value of N for which the error in approximating the function using the result that Er≤\((180/N)^(r-1)\)Tₙ, we need to use the given error bound of 1 x \(10^-9\), the fourth derivative of the function, and the interval [a, b).

Let K₄ be the least upper bound for all absolute values of the fourth derivatives of the function 3e on the interval [a, b). We know that:

Error(Sₙ) ≤ \((180/N)^(r-1)\)Tₙ

We need to find N, so we can rearrange this equation to isolate N:

N ≥ \((180/Err(Sₙ)Tₙ)^(1/(r-1))\)

Substituting the given values, we get:

N ≥ \((180/(1 x 10^-9)Tₙ)^(1/3)\)

N ≥ \((180/(1 x 10^-9)(b-a)^4K₄/4!)^(1/3)\) (since r=4 for the fourth derivative)

N ≥ \((180/(1 x 10^-9)(1)^4K₄/4!)^(1/3)\) (assuming the interval [a, b) is [0, 1])

N ≥\((180/(1 x 10^-9)(1)K₄/24)^(1/3)\)

N ≥ (\(4320/K₄)^(1/3)\)

N ≥ 306.97 (since K₄ is a positive constant)

N = 307.

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The given equation is:

375 = x - 28

To solve the equation:

Collect like terms

The -28 crosses the equality sign to the left and becomes 28

The equation then becomes:

375 + 28 = x

x = 403 (correct answer)

The students error is that when he collected like terms, he did not change the "-" sign in -28 to +

He did 375 - 28 = x

x = 347 (wrong)

Answer:

1and1/2yrs ago

Step-by-step explanation:

price dis year= 56545

reduction per year= 11309

...number of years ago = 73810-56545=17265

and is about 20% of annual deductions

so if 56545 +20% + 1/2 20% = 1nd1/2 yrs

Answer:

-1

Step-by-step explanation:

Given the equation :

-11 = - 12 + 2x + 3

Collect like terms

-11 + 12 - 3 = 2x

-2 = 2x

-2 /2 = 2x/2

x = - 1

Answer:

\(x = -1\)

Step-by-step explanation:

Given the equation \(-11 = -12 + 2x + 3\) find \(x\)

For resolve this you have to do basic algebraic operations in both sides of the equation, as follow:

First substract -3 in both sides of the equation

\(-14 = -12 + 2x\)

Later sum 12 in both sides of the equation

\(-2 = 2x\)

The final  step is multiply by \(\frac{1}{2}\) each side of the equation

\(-1 = x\)

So the final answer is \(x = -1\)

Answer:

Positive...

2+43

equals 45

Step-by-step explanation:

hope this helps

2 + 43 = 45

Positive is the answer.

Hence, 1) 6 cm (smallest value), 2) 6 cm, and 3)15.167 cm are the approximate dimensions which will result in a material with the biggest volume (largest value).

A 3D object's surface area is indeed the entire area that all of its faces cover. For instance, the surface area of a cube has been its surface area if we need to determine how much paint is needed to paint it. It's always calculated in square units.

Let the height be y as well as the side length of a square base be x. The rectangular solid's surface area is then determined by:

When we simplify this equation, we obtain:

The rectangular solid's volume is determined by:

V = x² × y = x² × (433.5 - 4x²) / (2x)

When we simplify this equation, we obtain:

V = 216.75x - 2x³

We must determine the value of x that maximizes V in order to determine the dimensions that lead to a solid with the maximum volume. Using V's derivative with x as the base, we can calculate:

dV/dx = 216.75 - 6x²

By setting this to 0 and figuring out x, we obtain:

216.75 - 6x² = 0

x² = 36.125

x ≈ 6.005

When we rewrite the equation for y using this value of x, we obtain:

y ≈ 15.167

Thus, the following dimensions will produce a solid with the largest volume:

1. 6 cm (smallest value)

2. 6 cm

3.15.167 cm (largest value)

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The height of the tree to the nearest foot is 27 feet.

The height of the tree can be found as follows:

The height of the tree can be found using trigonometric ratios. Therefore,

let

tan ∅ = opposite / adjacent

Therefore,

opposite side = adjacent tan ∅

Hence,

height of the tree = 20 + x tan 45° = x tan 75°

20 + x tan 45° = x tan 75°

20 tan 45 + x tan 45° = x tan 75°

20 tan 45 =  x tan 75° -  x tan 45°

20 tan 45 =  x(tan 75 - tan 45)

20 tan 45 = x(3.73205080757 - 1)

2.73205x = 20

x = 20 / 2.73

x  = 7.32600732601

x = 7.34

Therefore,

height of the tree = x tan 75°

height of the tree = 7.34 × tan 75°

height of the tree = 27.3186119114

height of the tree = 27 ft

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Answer:

Multiply  34  by 3  

102x

Answer: B 5+5=10+4+4+4=12+3 10+12+3 25 lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Perimeter is addition of all the sides

so add them

5+4+4+3+4 =20

The x coordinate for the patch (and any other patch) on the left face of an object is the smallest x value within the object's domain, as it corresponds to the position of the left face in relation to the coordinate system. All patches on the left face share this same x coordinate value, regardless of their location on the face.

To answer this question about the x coordinate for the patch on the left face, let's break it down:
1. Identify the left face: First, we need to recognize which face of the object is the left face. This is typically the side that faces left when looking at the object in its standard orientation.

2. Find the x coordinate: Since the left face of an object is perpendicular to the x-axis, the x coordinate for any point (or patch) on that face will be the same. This means that all patches on the left face share the same x coordinate value.
3. Determine the specific x coordinate value: To find the actual value of the x coordinate, examine the object's dimensions and/or coordinate system. The x coordinate for the left face will be the smallest x value within the object's domain.

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Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

A two-sample t-test should be used to determine whether knowing the calorie content influences the mean number of calories of food purchased by children and adolescents.

The appropriate test to determine whether knowing the calorie content influences the mean number of calories of food purchased by children and adolescents is a two-sample t-test. This test compares the means of two independent groups (with and without calorie content labels) to determine if there is a significant difference between them. The null hypothesis would be that there is no significant difference in the mean number of calories purchased between the two groups, while the alternative hypothesis would be that there is a significant difference in the mean number of calories purchased between the two groups. The t-test would allow the researcher to determine whether the calorie labels had a statistically significant effect on the food choices of the children and adolescents in the study.

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Hello !

See attachment.

The polar curve r = 1.5sinθ in rectangular form is x² + y² - 1.5y = 0

Since we have the polar curve r = 1.5sinθ and we want to convert it to rectangular form, we proceed as follows

We know that in rectangular form the polar curve is

So, multiplying r = 1.5sinθ by r, have that

r = 1.5sinθ

r × r = r × 1.5sinθ

r² = 1.5rsinθ

Substituting this into equation (3), we have that

x² + y² = r² (3)

x² + y² = 1.5rsinθ (4)

From equation (2), y = rsinθ

So, substituting this into equation (4), we have that

x² + y² = 1.5rsinθ

x² + y² = 1.5y

x² + y² - 1.5y = 0

So, the rectangular form is x² + y² - 1.5y = 0  

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