Find the value of x.

Find The Value Of X.

Answers

Answer 1

Answer: x = 20

Step-by-step explanation:

The angle is 90 degrees so we can make an equation

with it.

3x + 10 + x = 90

Combine like terms

4x + 10 = 90

subtract 10 from both sides to cancel it out

4x = 80

Now divide by 4 to leave x by itself

x = 20

Now you can check if it's correct by plugging in x to the equation given

3(20) + 10

60 + 10

70

20 + 70 = 90 degrees

Answer 2

Answer:

D: 20 degrees

Step-by-step explanation:

First, we add 3x+10 and x together because they are within a right angle, which is 90 degrees. This gives the equation 4x+10=90. We solve from here.

We subtract 10 from both sides to isolate the x-variable. 90 minus 10 equals 80. This gives us the equation 4x=80. To further isolate the x-variable, we divide both sides by 4. 80 divided by 4 equals 20.

This leaves us with x=20.

Hope this helped!


Related Questions

is 1 1/2 equal to 1 to 2? why or why not

Answers

Answer:

No

Step-by-step explanation:

1 to 2 is 1/2

Answer:

No. See below.

Step-by-step explanation:

I've never heard anyone say this out loud. However, on Brainly, it is always interpreted as 1 1/2 = 1.5. So it is 1 plus 1/2.

1 to 2 is a ratio. For every set of car keys I have 2 house keys.

1 to 2 can be written either as 1/2 or 1:2 depending on how touchy your instructor is.

So no. 1 1/2 is not the same as 1:2

Help out with this question please!​

Help out with this question please!

Answers

Answer:

my answer is A

Step-by-step explanation:

if you work out the equation where you know that at the x intercept y=0 you will find A to be true

Can anyone help me plz????

Can anyone help me plz????

Answers

Step-by-step explanation: 2 x 4 ² - 2x + 10

                                                2 x 4 = 8

                                                8 x 8 = 64

                                               64 - 2x + 10

                                               64 - 2 x 4 + 10

                                                64 - 8 + 10

                                                56 + 10 = 66

                                             

Emma spent $17.98 on 2 dozen bagels. which equation models the situation with d, the price in dollars, of one dozen bagels? a. 17.98d = 2 b. 17.98 + d = 2 c. 2d = 17.98 d. 2 + d = 17.98

Answers

The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.

Emma spent $17.98 on 2 dozen bagels. The equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.What are dozen bagels?A dozen bagels are 12 bagels. If Emma bought 2 dozen bagels, it means she bought 24 bagels. If you want to know the cost of one bagel, you can divide the total cost by the number of bagels she bought. So the cost of one bagel can be given by the equation;`Total cost of bagels / number of bagels bought = cost per bagel`Let us now use the given options to see which one of them represents the above equation.A. 17.98d = 2Here, we have the total cost multiplied by the cost per bagel which doesn't make sense.B. 17.98 + d = 2We can see that this equation does not have any terms to represent the number of bagels bought, it only has the total cost and the cost per dozen bagels.D. 2 + d = 17.98We can see that this equation does not have any terms to represent the total cost or the number of bagels bought. Hence it cannot represent the given situation.C. 2d = 17.98Here, we have the number of bagels multiplied by the cost per bagel to give us the total cost, which is what we need. Therefore the equation that models the situation with d, the price in dollars, of one dozen bagels is given by option C. `2d = 17.98`.

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Maureen, Frank, Tashia, Zane, Eric, and Wesley are addressing envelopes for volunteer work at a local charity. They were given ¾ of an entire mailing to address to be evenly divided among six of them. What fraction of the entire mailing does each person address?

Answers

Answer:

The fraction of the entire mail each person address = 1/8

Step-by-step explanation:

Given that:

number of people addressing envelopes = 6

If they gave out 3/4 of an entire mailing address.

Then, the amount of mailing not addressed is:

= 1 - 3/4

= \(\dfrac{4-3}{4}\)

= 1/4

If 6 people shared 3/4 of an entire mailing to address evenly.

Then: each person gets:

\(=\dfrac{3}{4} \div 6\)

\(=\dfrac{3}{4} \times \dfrac{1}{ 6}\)

= 1/8

The fraction of the entire mail each person address = 1/8

No time for fidding on the roof this weekend. Time to make some matches. So make them! Match the orbital name to the set of quantum numbers that could describe an orbital in that set. All quantum number sets are given in the usual order, n
,

l,m
l

A. 3, 2, -1 B. Does not exist C. 5,1,−1 D. 5,1,−2 E. 5,3,2 F. 4,0,0 G. 4,0,−1 H. 3,2,3 QUESTION 2 Solect all the anwwers that could corespond to one of the orbitals in the set n=5.1=2. A. 5. 2, -1 B. 6δ
xy

C. 5 py D. 5 f F. 4d
xy

F. 6dy
z

6. 5d
xyz

Match the orbital type to the number of planar nodes it has. 5 A. 0 p. B. 1 C. 3 D. 2 QUESTION 4 Which of the following is false? Concerning orbitals, we can say that. A. There is only 1 orblal named 28 . B. The 3d
22

orbital has two conical nodes C. The 2p
x

orbital is oriented along the y and z axes D. The 25 orbital has 1 spherical node E. Nobody has ever seen an orbital. Everything we know about them comes from mathematics and physics. We accept their existence because this model of the atom explains so many experimental observations.

Answers

The matching sets for the given orbitals are as follows:

A. 3, 2, -1

C. 5, 1, -1

G. 4, 0, -1

H. 3, 2, 3

In quantum mechanics, each electron in an atom is described by a set of quantum numbers that provide information about its energy level, orbital shape, and orientation. The quantum numbers include the principal quantum number (n), the azimuthal quantum number (l), and the magnetic quantum number (ml).

For the given orbitals, we need to match the orbital names with the sets of quantum numbers. Let's go through each option:

A. The quantum numbers 3, 2, -1 correspond to the orbital name 3dxy. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is -1. This describes a d orbital in the xy plane.

C. The quantum numbers 5, 1, -1 correspond to the orbital name 5py. The principal quantum number (n) is 5, the azimuthal quantum number (l) is 1, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the y-axis.

G. The quantum numbers 4, 0, -1 correspond to the orbital name 4pz. The principal quantum number (n) is 4, the azimuthal quantum number (l) is 0, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the z-axis.

H. The quantum numbers 3, 2, 3 correspond to the orbital name 3dxyz. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is 3. This describes a d orbital with complex orientation in space.

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there also a not here answer so say not here if the answer isnt there

there also a not here answer so say not here if the answer isnt there

Answers

Answer:

0.20 x 0.70

Step-by-step explanation:

Answer:

I dont know bro but i need points

Step-by-step explanation:

1. I need points

I hope this helps!

I don’t know the answer help

I dont know the answer help

Answers

Answer:

c = -4

Step-by-step explanation:

Let's solve your equation step-by-step.

13

4

+c=−

3

4

Step 1: Simplify both sides of the equation.

13

4

+c=−

3

4

13

4

+c=

−3

4

c+

13

4

=

−3

4

Step 2: Subtract 13/4 from both sides.

c+

13

4

13

4

=

−3

4

13

4

c=−4

Answer:

Move all terms not containing  c  to the right side of the equation.

c = - 4

Step-by-step explanation:

please help me with this

please help me with this

Answers

The function y=(x-2)²-1 has vertex (2, -1), focus (2, -3/4) and axis of symmetry is x=2.

1) y=-x²+4x+3

From the given graph,

Direction: Opens Down

Vertex: (2,7)

Focus: (2,27/4)

Axis of Symmetry: x=2

Directrix: y=29/4

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (2+√7,0),(2−√7,0)

y-intercept(s): (0,3)

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,7],{y|y≤7}

3) y=(x-2)²-1

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (2,−1)

Focus: (2,−3/4)

Axis of Symmetry: x=2

Directrix: y=−5/4

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (3,0),(1,0)

y-intercept(s): (0,3)

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),{x|x∈R}

Range: [−1,∞),{y|y≥−1}

Therefore, the function y=(x-2)²-1 has vertex (2, -1), focus (2, -3/4) and axis of symmetry is x=2.

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After observing both the graphs the required fields are described below.

In the given graph of the equation,

y = -x² + 4x + 3

From the graph of the this curve

We can see that,

X - intercept of this graph is at (-0.646 , 0) and (4.646, 0)

Y - intercept of this graph is at (0, 3)

Vertex of this graph is at (2, 7)

Domain is whole real line,

Range is (-∞, 7]

Axis of symmetry is x axis.

Increasing in the interval : (-∞, 2]

Decreasing in the interval : [7, ∞)

In the given graph of the equation,

y = (x-2)² - 1

From the graph of the this curve

We can see that,

X - intercept of this graph is at (1 , 0) and (3, 0)

Y - intercept of this graph is at (0, 3)

Vertex of this graph is at (2, -1)

Domain is real number,

Range is [-1, ∞)

Axis of symmetry is x axis.

Increasing in the interval : (-∞, 1]U[3,∞)

Decreasing in the interval : (1, 3)

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please help me with this
please help me with this

what is the answer to this equation?

what is the answer to this equation?

Answers

For given graph of function, the x-intercepts are:

x = 0 and x = 4

In this question, we have been given a graph of a function.

We need to find the x-intercept for given graph.

We know that, the points at which the graph of function intersects the X-axis are known as x-intercepts.

We can observe that the graph intersects X-axis at points (0, 0) and (4, 0)

Therefore, for given graph of function, the x-intercepts are:

x = 0 and x = 4

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Please help me, been struggling for a hot minute. Questions are in the image down below, 50 points.

Please help me, been struggling for a hot minute. Questions are in the image down below, 50 points.

Answers

According to the figure the missing parts are

angle OMP = angle PML = 70 degreesangle N = angle L = 70 degrees

How to prove that MP || NL

To show that MP is parallel to NL we have to show that angle N is equal to angle OMP. hence by corresponding angles which is used when line are parallel would support the proof

Given that angle NML = 40 degrees and angle N = angle L we have that

angle NML + angle N +  angle L = 180 (sum of angles of a triangle)

40 + angle N + angle N = 180

2 angle N  = 180 - 40

angle N = 140/2 = 70

angle N = angle L = 70 degrees

angle OML = 180 - 40 (angle on a straight line)

angle OML = 140 degrees

MP bisects angle OML therefore angle OMP = angle PML = 70 degrees

This shows that angle N and angle OMP are equal by corresponding angles

The relationship will hold true if angle N is not equal to angle L since correponding angles requires angle N and angle OMP

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Laura just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages.How many pages did Laura read each day?

Answers

So you have 85 pages and 10 days.
You would do 85/10 to get 8.5 pages each day. Hope that’s right !

The number of pages read by Laura each day if The book had 85 pages, the same amount every day, and completed the book in just 10 days, is 8.5.

What is division?

When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.

Given:

The book had 85 pages, the same amount every day, and completed the book in just 10 days,

Calculate the number of pages read each day as shown below,

The number of pages read each day = total number of pages / total number of days

The number of pages read each day =85 / 10

The number of pages read each day = 8.5

Thus, The number of pages read each day is 8.5 pages per day.

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In a density curve, proportion of data is represented by O area above the curve. O area under the curve. O the shape of the curve. o intervals of values on the vertical axis. o intervals of values on the horizontal axis. O the length of the curve

Answers

In a density curve, the proportion of data is represented by the area under the curve.

Therefore the answer is "area under the curve".

The area under the curve represents the probability or proportion of data within a certain interval. The curve itself represents the distribution of the data and the shape of the curve provides information about the type of distribution (e.g. normal, skew, etc.).

The intervals on both the horizontal and vertical axis are used to measure the density of the data, but they do not represent the proportion of data themselves. The length of the curve has no significance in representing the proportion of data.

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Please help.

For math class

Please help.For math class

Answers

Answer:

x = 30, z = 45, y = 105

Step-by-step explanation:

The lines are straight, so:

x = 30

z = 45

y = 180 - (45 + 30)

So there

Knowing that ΔQPT ≅ ΔARZ, a congruent side pair is:

A. QT ≅ AZ
B. QP ≅ AZ
C. PT ≅ AR
D. QT ≅ RZ

Answers

I would say the answer is A.

Answer:

a.

Step-by-step explanation:

At the Hawaii Pineapple Company, managers are interested in the size of the pineapples grown in the company's fields. Last year, the weight of the pineapples harvested from one large field was roughly normally distributed with a mean of 31 ounces and a standard deviation of 4 ounces. A different irrigation system was installed in this field after the growing season. Managers wonder if the the mean weight of pineapples grown in the field this year will be different from last.


Required:

a. Write out the null, and alternative hypotheses Hain terms of the population mean μ.

b. Explain Type 1 and Type 2 errors of the test in context e) What sample size should the managers use to ensure their test has power of at least 0.9 to detect a-33 (assuming Æ¡-4)?

Answers

a) The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year. b) The power to detect an increase of 2 ounces in the mean weight of pineapples (μa = 33 ounces) is approximately 0.932, and the probability of making a Type 2 error with a true mean of 33 ounces is approximately 0.068.

(a) The null hypothesis (H0) and alternative hypothesis (Ha) can be written as follows:

Null Hypothesis (H0): The mean weight of pineapples grown in the field this year is equal to the mean weight of pineapples grown last year (μ = 31 ounces).

Alternative Hypothesis (Ha): The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year (μ ≠ 31 ounces).

(b) To calculate the power and the probability of making a Type 2 error, we need to assume the population mean weight of pineapples this year (μa) is 33 ounces. We also need to determine the critical value for the given significance level (α) of 0.05.

Given that the sample size (n) is 30, the population standard deviation (σ) is 4 ounces, and the mean weight under the alternative hypothesis (μa) is 33 ounces, we can calculate the test statistic (z) using the formula:

z = (\(\bar x\) - μa) / (σ / √n)

where \(\bar x\) is the sample mean.

With \(\bar x\) = 31 ounces, σ = 4 ounces, μa = 33 ounces, and n = 30, we can calculate the test statistic:

z = (31 - 33) / (4 / √30)

z = -2 / (4 / √30)

z = -2 / (4 / 5.477)

z = -2 / 1.0954

z ≈ -1.825

Using a standard normal distribution table or calculator, we can find the corresponding p-value for this z-value. Let's assume it is approximately 0.034 (one-tailed test).

The power of the test can be calculated as 1 minus the probability of a Type 2 error. Since the alternative hypothesis is two-sided, we divide the significance level (α) by 2 and find the corresponding critical z-value. Let's assume it is approximately 1.96 (two-tailed test).

Now we can calculate the power using the formula:

Power = 1 - P(Type 2 Error) = 1 - P(z < -1.96 or z > 1.96)

P(Type 2 Error) = P(z < -1.96 or z > 1.96) ≈ 2 * P(z < -1.96) (assuming symmetry)

P(Type 2 Error) ≈ 2 * 0.034 ≈ 0.068

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Need help with number 5 and 7 they are short questions.

Need help with number 5 and 7 they are short questions.

Answers

5) Notice that angles 4 and 2 are corresponding angles, since FG is parallel to HJ then:

\(m\angle4=m\angle2.\)

If m<2=45º, then by the transitive property we get:

\(m\angle4=45º.\)

7) Notice that angles 3 and 6 are aternating exterior angles, since FG is parallel to HJ then:

\(m\angle3=m\angle6.\)

If m<6=135º then by the transitive property we get:

\(m\angle3=135º.\)

Answer:

(5)

\(m\angle4=45º.\)

(7)

\(m\angle3=135º.\)

estimate the solution to the following system of equations by graphing. 3x 5y=14, 6x-4y=9
Answer choices:
a. (5/2, 4/3)
b. ( 4/3, 5/2)
c. ( 7/3 , -7/2)
d. (-5/2 , -7/2)

Answers

The solution to the following system of equations by graphing is (4/3, 5/2), the correct option is B.

We are given that;

The equations 3x 5y=14, 6x-4y=9

Now,

To estimate the solution to the system of equations by graphing, we can plot the lines of the two equations on a graph and find the point where they intersect. The point of intersection is the solution to the system of equations.

The first equation is 3x + 5y = 14 and the second equation is 6x - 4y = 9. We can solve for y in each equation and then plot them on a graph.

For the first equation, we have:

3x + 5y = 14 5y = -3x + 14 y = (-3/5)x + (14/5)

For the second equation, we have:

6x - 4y = 9 4y = 6x - 9 y = (3/2)x - (9/4)

Now we can plot these two lines on a graph and find their point of intersection.

The point of intersection is approximately (1.2, 2.6).

Therefore, by equations the answer will be (4/3, 5/2).

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what is the probability of rolling a 1 and then rolling an even number with one 6 sided die

Answers

Answer:

5/6(83.33%) I think this should be the probability of it.

Line t has an equation of y = x + 2. Line u is parallel to line t and passes through
(10, 4). What is the equation of line u?

Answers

Answer:

y=x-6

Step-by-step explanation:

The temperature is 23 degrees F, at sunrise. By noon, the temperature changes by 10 degrees F. What could be the temperature at noon? The number line shows temperatures in degrees F. What are all the possible noon temperatures?

Answers

The possible noon temperatures are given as follows:

13 ºF.33 ºF.

How to obtain the possible temperatures?

When a value of x is a units from a number n in the number line, the possible values are given as follows:

x = n - a. -> a units before n.x = n + a -> a units after n.

The reference temperature is of 23 ºF, and the temperature changed by 10 ºF, hence the possible temperatures are obtained as follows:

23 - 10 = 13 ºF.23 + 10 = 33 ºF.

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Help fast, 4/9 x 2 = 4 x 2/9

Help fast, 4/9 x 2 = 4 x 2/9

Answers

Answer:

The answer is 8 over 9. 8/9

Answer: 8/9 = 8/9

Step-by-step explanation:

4/9 x 2 = 4 x 2/ 9

= 8/9 = 4x2/9

Multiply:

8/9 = 4x2/9

8/9 = 8/9

Solve analytically Laplace's equation Au=0 in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Answers

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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Help me please

Increase 55 by 137%

Answers

Answer:

75.35

Step-by-step explanation:

55 (1.37) = 75.35

75.35, the number 55 increases by 137 percent of its value and the absolute change would be 75.35 percent

PLEASE HURRY ⏰ select the 2 missing "X Values" and "Y Values" from the table to complete it Select ALL that apply h(x)= -(1/4)^x

Answers

The values for "Y" correspond to the chosen "X" values are \(-0.0625,-0.25,-1,-0.25,-0.0625\)

What are functions?

A function, also known as the domain and the range, is a fundamental idea in mathematics that represents the relationship between two sets of elements. Each element in the domain is paired with a different element in the range.

A function is, more precisely, a rule or a correspondence that links every input value from the domain to precisely one output value from the range. The variable x normally represents the input values, and the variable y or f(x) typically represents the corresponding output values.

A function can be envisioned as a device that accepts an input and outputs a particular result in accordance with the rule or operation specified by the function. Only the input value influences the output, and each

Calculating the corresponding values of "X" and "Y" for each row is necessary to finish the table for the function \(h(x) = -(1/4)x\). I am not able to choose the missing values because the table is not provided. But I can explain to you how to figure out the function's values.

A function that depicts an exponential function is \(h(x) = -(1/4)x\). You can use the provided function to find the values by selecting a range of "X" values and determining the corresponding "Y" values.

Let's pick a range of "X" values from \(-2 to 2\), for illustration:

when \(x = -2:\)

\(h(-2) = -(1/4)^(-2) = -(1/4)^2 = -(1/16) = -0.0625\)

when \(x = -1:\)

\(h(-1) = -(1/4)^{-1} = -(1/4)^1 = -1/4 = -0.25\)

when \(x = 0:\)

\(h(0) = -(1/4)^0 = -1^0 = -1\)

when \(x = 1:\)

\(h(1) = -(1/4)^1 = -1/4 = -0.25\)

when \(x=2:\)

\(h(2) = -(1/4)^2 = -1/16 = -0.0625\)

These are the values for "Y" corresponding to the chosen "X" values. Depending on the table, you can select the appropriate values to complete it.

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Which situation can be represented by the equation -4x5= -20

Answers

Answer:

it just 20

Step-by-step explanation:

what a statistical process control technique that permits only 3.4 defects per million opportunities.?

Answers

Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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Please help thank you :)

Please help thank you :)

Answers

Answers:

smaller number = 16larger number = 27

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

Explanation:

x = smaller number

2x-5 = larger number, since it's five less than twice the smaller number

The sum of both values is 43, so,

(smaller)+(larger) = 43

(x) + (2x-5) = 43

3x-5 = 43

3x = 43+5

3x = 48

x = 48/3

x = 16 is the smaller number

2x-5 = 2*16-5 = 32-5 = 27 is the larger number

Check: 16+27 = 43

The answer is confirmed.

What is the solution to the division problem below? (You can use long division or synthetic division.) (4x2 + 5x - 6) (x + 2)

Answers

Answer:

The other factor is 4x-3

Step-by-step explanation:

We want to divide 4x^2 + 5x -6 by x + 2

Unfortunately, we cannot say if x + 2 is a factor or not.

To know if it’s,

we set x + 2 = 0 and this means x = -2

We substitute this into the larger polynomial.

This gives;

4(-2)^2 + 5(-2) -6 = 16 -10-6 = 0

What this actually means is that it is a factor of it since it leaves no remainder.

The issue now is finding this other factor.

So let’s use the long division

(x + 2). _| 4x ^2 + 5x -6

Kindly note that 4x^2/x = 4x, we now multiply this by (x+2) so we get 4x(x+2) = 4x^2 + 8x which we will subtract from 4x^2 + 5x -6

_ 4x_

(x+2). ___|4x^2 + 5x -6

-(4x^2 + 8x)

-3x -6

next is -3x/x = -3

_-4x-3_

(x+2). _| 4x^2 + 5x-6

-(4x^2 +8x)

__________

-3x-6

-(-3x-6)

_________

0

So the other factor is 4x-3

Write an equation that can be used to describe the relationship between x and y shown in the graph in the image

Write an equation that can be used to describe the relationship between x and y shown in the graph in

Answers

Answer:

\(y=-2x+3\)

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

\(y=mx+b\)

Here

Slope of line m=-2 (for every one step on x-axis line going down 2 step on y-axis)

y-intercept b=3

\(y=-2x+3\)

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