Find the values of​ x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees

False. According to Deming, most processes are not naturally in control and often require statistical control. Deming emphasized the importance of understanding and managing variation in processes to achieve better quality and efficiency.

    Contrary to the statement, Deming believed that most processes are not naturally in control. He emphasized the need for statistical control methods to manage processes effectively. Deming's approach was rooted in the understanding of variation and its impact on quality and productivity.

Deming advocated for the use of control charts to monitor processes and identify when they are out of control. Control charts provide a visual representation of process variation and help distinguish between common cause and special cause variation. Common cause variation is inherent in the process and can be reduced through process improvement efforts. Special cause variation, on the other hand, indicates that the process is influenced by external factors or unusual circumstances and requires immediate attention.

By using statistical control methods, organizations can proactively identify and address variations in their processes, leading to improved quality and increased efficiency. Deming's philosophy emphasizes the importance of managing variation to achieve stable and predictable processes, ultimately driving continuous improvement.

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Answer:

It's 2, 1, and y = 2x + 1.

Step-by-step explanation:

You can see the rise is 2 and the run is 1, making the slope = 2, and the y-intercept is 1 because that is where it crosses the y axis. Once you have the slope and y intercept, you can put it in a function, with the form being y=2x+1, the slope being the number before the x and the y-int value being after the x.

Answer:

1.  2

2. 1

3. y = 2x+1

Step-by-step explanation:

1. \(\frac{rise}{run}\)

2. Where does the line cross the y-axis?

3. y = mx+b

m= slope

b = y-intercept

Answer:

The correct answer is 44.687

Step-by-step explanation:

Got it right on Edge assignment

Answer:

it was 44.6878 on my EDGE

Step-by-step explanation:

a) The delivery time when number of cases of product stocked =10 and the distance walked by the route driver =250 is: 54.501

b) we reject the null hypothesis and conclude that the overall model is significant.

a. The multiple linear regression model is:

Y^ = 2.341 + 1.616 × X1 + 0.144 × X2

To predict the delivery time when the number of cases of product stocked (X1) is 10 and the distance walked by the route driver (X2) is 250, we substitute these values into the model:

Y^ = 2.341 + 1.616 × 10 + 0.144 × 250

  = 2.341 + 16.16 + 36

  = 54.501

Therefore, the predicted delivery time is approximately 54.501 units.

b. Adjusted R-squared (R^2):

The adjusted R-squared (R^2) adjusts the R-squared value for the number of predictors and sample size. It provides a measure of how well the model fits the data while penalizing for overfitting. The formula for adjusted R-squared is:

Adjusted R^2 = 1 - [(1 - R^2) * (n - 1) / (n - p - 1)]

Where:

R^2 = 0.96 (given in the question)

n = number of observations (25)

p = number of predictors (2 in this case)

Substituting the values into the formula:

Adjusted R^2 = 1 - [(1 - 0.96) * (25 - 1) / (25 - 2 - 1)]

            = 1 - (0.04 * 24 / 22)

            = 1 - (0.04 * 1.090909)

            ≈ 0.965 (rounded to three decimal places)

The adjusted R-squared is approximately 0.965.

Test for overall model significance:

To test the overall model significance, we can perform an F-test. The null hypothesis (H0) assumes that all regression coefficients are zero, indicating that the predictors have no significant effect on the outcome variable.

The F-statistic follows an F-distribution with degrees of freedom for the numerator (p) and denominator (n - p - 1). We can compare the computed F-value with the critical F-value at the desired significance level.

At a 2.5% level of significance, we compare the computed F-value to the critical F-value with p degrees of freedom for the numerator and (n - p - 1) degrees of freedom for the denominator.

The computed F-value and critical F-value can be obtained using statistical software or tables. Unfortunately, without these values, it is not possible to determine the conclusion regarding the overall model significance at the 2.5% level.

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The graph of the equation y=4x−1 is given below as per the linear equation property.

To graph the equation y = 4x - 1, we can plot points by substituting different x-values and finding the corresponding y-values.

Let's evaluate the equation for the given x-values: x = -3, -2, -1, 0, 1, 2, and 3.

For x = -3:

y = 4(-3) - 1 = -12 - 1 = -13

So, the point is (-3, -13).

For x = -2:

y = 4(-2) - 1 = -8 - 1 = -9

The point is (-2, -9).

For x = -1:

y = 4(-1) - 1 = -4 - 1 = -5

The point is (-1, -5).

For x = 0:

y = 4(0) - 1 = 0 - 1 = -1

The point is (0, -1).

For x = 1:

y = 4(1) - 1 = 4 - 1 = 3

The point is (1, 3).

For x = 2:

y = 4(2) - 1 = 8 - 1 = 7

The point is (2, 7).

For x = 3:

y = 4(3) - 1 = 12 - 1 = 11

The point is (3, 11).

Now, we can plot these points on a graph and connect them to form a straight line. The line will represent the equation y = 4x - 1.

The graph is given below.

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The exact values of csc θ, cot θ, and cos θ are √2, -1, and -√2/2, respectively.

To find the exact values of csc θ, cot θ, and cos θ:

Step 1: Identify the coordinates of the point where the terminal side of angle θ intersects the unit circle, which are (-√2/2, √2/2).

Step 2: csc θ is the reciprocal of sin θ, which is equal to the y-coordinate of the point. Therefore, csc θ = 1/sin θ = 1/(√2/2) = √2.

Step 3: cot θ is found by dividing sin θ by cos θ. Since sin θ is the y-coordinate and cos θ is the x-coordinate,

cot θ = sin θ / cos θ = (√2/2) / (-√2/2) = -1.

Step 4: cos θ is simply the x-coordinate of the point, which is -√2/2.

Therefore, The exact values of csc θ, cot θ, and cos θ are √2, -1, and -√2/2, respectively.

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The general solution is y = y_h + y_p = c1 \(e^{ (-x) }\) + c2 x e^(-x) - (1÷2) cos(x) - (1÷12) sin(2x) - (5÷24) cos(2x).

What is Differential Equation ?

A differential equation is a mathematical equation that relates a function or a set of functions with their derivatives or differentials. In other words, it is an equation that describes the behavior of a system in terms of the rates of change of one or more variables.

First, we find the homogeneous solution of the differential equation:

The characteristic equation is r*r + 2r + 1 = 0, which can be factored as (r+1)(r+1) = 0. Hence, the homogeneous solution is y_h = c1  \(e^{ (-x) }\)  + c2 x\(e^{ (-x) }\)

Now, we look for a particular solution of the form y_p = A sin(x) + B cos(x) + C sin(2x) + D cos(2x), where A, B, C, and D are constants to be determined.

Taking derivatives, we get y_p' = A cos(x) - B sin(x) + 2C cos(2x) - 2D sin(2x) and y_p'' = -A sin(x) - B cos(x) - 4C sin(2x) - 4D cos(2x).

Substituting y_p, y_p', and y_p'' into the differential equation, we get:

(-A sin(x) - B cos(x) - 4C sin(2x) - 4D cos(2x)) + 2(A cos(x) - B sin(x) + 2C cos(2x) - 2D sin(2x)) + (A sin(x) + B cos(x) + C sin(2x) + D cos(2x)) = sin(x) + 7cos(2x)

Simplifying and collecting like terms, we get:

(-3A - 3C + 4D) sin(2x) + (3B + 4C - 3D) cos(2x) + 2A cos(x) - 2B sin(x) = sin(x) + 7cos(2x)

Equating coefficients of sin(2x), cos(2x), sin(x), and cos(x), we get the following system of equations:

-3A - 3C + 4D = 0

3B + 4C - 3D = 7

2A = 0

-2B = 1

Solving for A, B, C, and D, we get:

A = 0

B = -1÷2

C = -1÷12

D = -5÷24

Therefore, the particular solution is y_p = (-1÷2) cos(x) - (1÷12) sin(2x) - (5÷24) cos(2x).

The general solution is y = y_h + y_p = c1   \(e^{ (-x) }\) + c2 x  \(e^{ (-x) }\) - (1÷2) cos(x) - (1÷12) sin(2x) - (5÷24) cos(2x).

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We substitute the vector components into the formula for the dot product:

Given:

Therefore, the dot product is 14.

5.75a + 6.5c = 53.25

a + c = 9

c = 9 - a

5.75a + 58.5 - 6.5a = 53.25

5.25 = 0.75a

a = 7

7 + c = 9

c = 2

she bought 7 apple pies

please give brainliest

Answer:

y=-5x-9

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-5(x-(-3))

y-6=-5(x+3)

y=-5x-15+6

y=-5x-9

Answer:

234/12=19.5  123/13=9.46

Step-by-step explanation:

Answer: 975

Step-by-step explanation: hope this helped!

Answer:

975

Step-by-step explanation:

Create a proportion. Set 75 over 100 equal to x over 1300. Cross multiply to get 75x1300 = 100x. This will get you 97500 equal to 100x. Divide each side by 100 to get x = 975

Answer:

30 tiles

Step-by-step explanation:

We know

First store

$0.59 per tile

Rent a tile saw for $18

Second store

1 tile = $1.19

We have the equation

0.59x + 18 = 1.19x

18 = 0.6x

x = 30 tiles

So, she must buy 30 tiles for the same cost at both stores.

Answer:

Margo must purchase 30 tiles for the cost to be the same at both stores.

Step-by-step explanation:

By analyzing the "real-world" problem, we can convert the words into two algebraic equations.

Store 1:

"$0.59 per tile and rent a tile saw for $18."

y = 0.59x + 18

y = the price of the tiles bought

0.59 = price of one tile

x = number of tiles

18 = the fixed cost of a saw

Store 2:

"At another store, she can borrow the tile saw for free if she buys tiles there for $1.19 per tile."

In this case, the saw is free. Thus, we don't need to add a price to the equation.

y = 1.19x

y = the price of the tiles bought

1.19 = price of one tile

x = number of tiles

Now that we have both equations, we can write down the equations that equate other. This formula will indicate that the equations would intersect at a certain point on the x and y values. Hence, this step will answer how many tiles are required for both stores to equal the same price.

\(0.59x+18=1.19x\)

Now solve for x:

\(0.59x-0.59x+18=1.19x-0.59x\\\\18=0.6x\\\\\frac{18}{0.6} =\frac{0.6x}{0.6}\\\\30=x\)

Margo can buy 30 tiles from both stores for the cost to be equal.

You might ask, "But what about the price?" This is where we solve for y; this variable will answer how much the tiles would cost at 30 tiles. So, we can take the answer for "x" and plug it into any of the two equations.

\(y=1.19x\\y=1.19(30)\)

For this equation, all you have to do is multiply both numbers to get your answer.

\(y=35.7\)

Therefore, Margo can buy 30 tiles for the cost to be same at both stores at $35.70.

\(\huge\begin{array}{ccc}\dfrac{1}{\tan^2\theta}=\dfrac{1-\sin^2\theta}{\sin^2\theta}=\dfrac{1}{\sin^2\theta}-1\end{array}\)

We know:

\(\sin^2x+\cos^2x=1\\\\\text{tan}x=\dfrac{\sin x}{\cos x}\)

We have:

\(\dfrac{1}{\tan^2\theta}\)

write it in therms of \(\sin\theta\).

\(\tan\theta=\dfrac{\sin\theta}{\cos\theta}\Rightarrow\text{tan}^2\theta=\left(\dfrac{\sin\theta}{\cos\theta}\right)^2=\dfrac{\sin^2\theta}{\cos^2\theta}\)

\(\sin^2\theta+\cos^2\theta=1\to\cos^2\theta=1-\sin^2\theta\)

therefore:

\(\tan^2\theta=\dfrac{\sin^2\theta}{\cos^2\theta}=\dfrac{\sin^2\theta}{1-\sin^2\theta}\)

\(\dfrac{1}{\tan^2\theta}=\dfrac{1}{\frac{\sin^2\theta}{1-\sin^2\theta}}=\dfrac{1-\sin^2\theta}{\sin^2\theta}=\dfrac{1}{\sin^2\theta}-\dfrac{\sin^2\theta}{\sin^2\theta}=\dfrac{1}{\sin^2\theta}-1\)

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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Answer:

20% of 250 = 50 so 250 - 50(the discount) is 200

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

Discount = 20% of 250 = 0.20 * 250 = $ 50

Sale price = $250 - $ 50  =  $ 200

By choosing three points on these graphs and applying mathematical reasoning, we can demonstrate that this situation is inconsistent with standard preference assumptions.

When two indifference curves intersect, it violates the assumption of transitivity in preference theory. Transitivity implies that if a consumer prefers bundle A to bundle B and bundle B to bundle C, then the consumer should prefer bundle A to bundle C.

Let's consider three points on the indifference curves: A, B, and C. Assume that point A is on a higher indifference curve than point B, and point B is on a higher indifference curve than point C. According to transitivity, the consumer should prefer A over B and B over C, leading to the conclusion that the consumer should also prefer A over C.

However, the fact that the indifference curves intersect means that point C is also on the higher indifference curve that intersects with the lower curve at point B. This violates the transitivity assumption because the consumer cannot simultaneously prefer both A over C and C over A.

By demonstrating this inconsistency using three points on the indifference curves, we can conclude that the scenario of intersecting indifference curves contradicts the preference assumptions of transitivity and is therefore inconsistent with standard preference theory.

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Step-by-step explanation:

A person with five children earns 4613 200 per month.

a Calculate the tax allowances.

b Calculate the taxable income.

C Calculate the amount of tax paid.

d Calculate the income after tax is paid.

The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

(-3, 1)

Step-by-step explanation:

The line goes down 3 (-3) and to the right 1

(-3, 1)

(Sorry if I am wrong. Please don't get mad)

Hope I helped :)

Answer:

X=3

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

The equation of the parabola in vertex form is y = (1/20)(x + 7)^2 + 1.

To write the equation of a parabola in vertex form, we use the equation:

y = a(x - h)^2 + k

where (h, k) represents the vertex of the parabola.

Given that the vertex is (-7, 1), we have h = -7 and k = 1. Substituting these values into the equation, we get:

y = a(x + 7)^2 + 1

Now, we need to find the value of 'a' to complete the equation. Since the parabola passes through the point (10, 309/20), we can substitute these coordinates into the equation:

309/20 = a(10 + 7)^2 + 1

309/20 = a(17)^2 + 1

309/20 = a(289) + 1

309/20 = 289a + 1

To simplify the fraction, we multiply both sides by 20:

309 = 20(289a + 1)

309 = 5780a + 20

Now, we solve for 'a':

5780a = 309 - 20

5780a = 289

a = 289/5780

a = 1/20

Substituting this value of 'a' back into the equation, we have:

y = (1/20)(x + 7)^2 + 1

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Step-by-step explanation:

I hope you understand what I did

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

Step-by-step explanation:

Answer:

47/100

Step-by-step explanation:

First you have to make the denominators equal.

4/10 * 10/10 = 40/100

40/100 + 7/100 = 47/100