Which table represents a linear function?

False. The Six Sigma DMAIC approach is one of many problem-solving methods that can be used, and is most appropriate when the problem is complex and the potential solutions are not immediately evident.

Six Sigma DMAIC (define, measure, analyze, improve, control) is a strategy used to improve processes and products. It is designed to help companies identify and eliminate defects and reduce variability in their processes. It is not the best way to attack all problems, as there are many other problem-solving methods, such as Design Thinking and Lean, that may be more suitable solution depending on the complexity of the problem.

learn more about solution here

https://brainly.com/question/30109489

#SPJ4

Answer:

-x^3 + x^2 - 2x - 4

Step-by-step explanation:

You have to subtract

Let o = the polynomial

So you know 2x^3 - x^2 + 4x + 5 - o = x^3 + 2x - 9

Now you do 2x^3 - x^3 = x^3

then you -x^2 + answer = 0

you need to cancel it out

to cancel, you found out that it is x^2

Now you need to make from 4x to 2x.

To do that, you do 4x - 2x and you get 2x

Lastly you need to change -5 to 9. To do that you add -4.

Now since it is subtraction you have to distribute

2x^3 - x^2 + 4x - 5 -(x^3 - x^2 + 2x + 4)

= 2x^3 - x^2 + 4x + 5 - x^3 + x^2 -2x -4

= x^3 -2x + 9

The answers to each part is -

Given is to find -

We can write the expression as -

{x} = \(5\frac{1}{3} - 3\frac{2}{3}\)

{x} = 16/3 - 11/3

{x} = 5/3

We can write the expression as -

{x} = \(8\frac{4}{7} - 7\frac{5}{7}\)

{x} = 60/7 - 54/7

{x} = 6/7

Therefore, the answers to each part is -

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

The expression (3x - 2)/(x + 4) = 0 has a value of x is 3/2. Amd the expression 2/(x + 4) = 0 has a value of x is ∞.

Simplification is to make something easier to do or understand and to make something less complicated.

The expression is given below.

(3x - 2)/(x + 4) = 0

Then on simplifying, we have

3x - 2 = 0

    3x = 2

      x = 3/2

And

2/(x - 3) = 0

         2 ≠ 0

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ1

Algebra tiles???

3x+6=15

move 6 to other side

3x=15-6

subtraction

3x=9

division

x=3

Answer:

B = 1/243

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

because 5x4 is 25.....

Answer: 15.36, simplified = 15.4

Step-by-step explanation:

You can solve this using the Pythagorean theorem. A^2 + b^2 = c^2

31.5 squared = 992.25

27.5 squared = 756.25

992.25 - 756.25 = 236

the square root of 236 = 15.36

Answer:

1)Yes

2)No

Step-by-step explanation:

1) 3x^2 = -27

3 (-3)^2 = -27

Once you substitute your value in for x, you can follow the rule PEMDAS to solve the equation.

3 (-9) = -27

-27 =-27

2) 10 - 5x = y

In an ordered pair, the first number is x and the second number is y.

10 - 5 (-4) = 10

10 - 20 = 10

-10 = 10

-10 ≠ 10

PEMDAS: A rule that states solving an equation by the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

the first and last one apply

Step-by-step explanation:

just did it on edu

The equations that can be used to solve for the unknown lengths of △ABC is as follows

sin 45 = BC / 9

cos 45 = BC / 9

The ratio are represented as follows:

The trigonometric ratios that can be used to find unknown sides is as follows:

learn more on right angle triangle here: https://brainly.com/question/14771025?referrer=searchResults

Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer: 1 and -25

Step-by-step explanation:

1 x -25 = -25

1 + -25 = -24

Answer:

c

Step-by-step explanation:

yeshhhhhhhhhjjhhuhj

Answer:

I think It's A what do you think??

Step-by-step explanation:

The altitude of Polaris, also known as the North Star, refers to its angle above the horizon when observed from a specific location on Earth.

The altitude of Polaris varies depending on the observer's latitude.

For an observer at the North Pole (latitude 90 degrees), Polaris appears directly overhead, at an altitude of 90 degrees. This means Polaris is at the zenith, the highest point in the sky.

For observers at other latitudes in the Northern Hemisphere, Polaris will appear lower in the sky. The altitude of Polaris is equal to the observer's latitude. For example, if you are at a latitude of 40 degrees north, Polaris will have an altitude of approximately 40 degrees above the horizon.

It's important to note that the altitude of Polaris remains relatively constant throughout the night and throughout the year due to its proximity to the celestial north pole. This makes it a useful navigational reference point for determining direction and latitude in the Northern Hemisphere.

To know more about North Star refer here:

https://brainly.com/question/32168908

#SPJ11

Answer:

a rational number

Step-by-step explanation:

Answer:

Tommy would have to pull at least 40.0000000..... something to beat Artie but the closest whole number is 41 becouse it has to be over 200

Step-by-step explanation:

200 /= 60 + 20 +25 + 55 + x

200/= 160 + x - 160 both sides

40 = x

Answer : The integral value is: ∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Given:  we have 3 ≤ r ≤ 7.

The integral becomes: ∫∫sin(r^2) dr dθ

with r ranging from 3 to 7 and θ ranging from 0 to 2π.

Now we can evaluate the integral:

∫(0 to 2π) dθ ∫(3 to 7) r sin(r^2) dr

To solve the inner integral, we use substitution. Let u = r^2, so du = 2r dr.

Then: (1/2)∫(9 to 49) sin(u) du = [-(1/2)cos(u)](9 to 49) = -(1/2)[cos(49) - cos(9)]

Now, evaluate the outer integral:

∫(0 to 2π) [-(1/2)(cos(49) - cos(9))] dθ = -[(1/2)(cos(49) - cos(9))][θ](0 to 2π)

= -(1/2)(cos(49) - cos(9))(2π - 0) = -π(cos(49) - cos(9))

So the integral value is:

∫∫sin(r^2) dr dθ = -π(cos(49) - cos(9))

Answer:

Step-by-step explanation:

1) find 8% of 420 = 33.6 ( assume you round this up as you have to have a whole number ! )

2) minus 34 ( rounded ) from 420 = 386

3) find 8% of 386 = 30.88 ( 31 )

4) 386 - 31 = 355

5) find 8% of 355 = 28.4 ( 28 )

6) 355 - 28 = 327

7) you get where im going - find 8% of the number of animals and minus it from the total number - keep doing this until you have done it 9 times

8) you should get the answer of 183

The given unity feedback system is the type-1 system, which can be observed from the given open-loop transfer function G(s).

Steady state error is the difference between the input and the output as time approaches infinity. It is also the difference between the desired value and the actual output at steady-state.

The steady-state error is calculated using the error coefficient, which depends on the type of the system.Find the steady-state error if the input is 80u(t):The transfer function of the given system can be written as follows;G(s) = 80(8²)/(s+4)(8+6)(8+17)The type of the given system is the type-1 system.

As the input to the system is u(t), the error coefficient is given as,Kp = lims→0sG(s) = 80/4(6)(17) = 5/153The steady-state error can be found out by the following formula;

ess = 1/Kp = 153/5.

Therefore, the steady-state error of the given system if the input is 80u(t) is 153/5.Find the steady-state error if the input is 80tu(t):As the input to the system is tu(t), the error coefficient is given as,Kv = lims→0s²G(s) = 0The steady-state error can be found out by the following formula;ess = 1/Kv = ∞.

Therefore, the steady-state error of the given system if the input is 80tu(t) is infinity.Find the steady-state error if the input is 80t²u(t):As the input to the system is t²u(t), the error coefficient is given as,Ka = lims→0s³G(s) = ∞The steady-state error can be found out by the following formula;

ess = 1/Ka = ∞.

Therefore, the steady-state error of the given system if the input is 80t²u(t) is infinity.

By using the error coefficient formula, we have found that the steady-state error of the given system if the input is 80u(t) is 153/5, steady-state error of the given system if the input is 80tu(t) is infinity and steady-state error of the given system if the input is 80t²u(t) is infinity.

To know more about error coefficient  :

brainly.com/question/28342852

#SPJ11

Answer:

425 ml.

Step-by-step explanation:

into ratio units of (5+3), you can find out how many times 8 goes into 680. Multiply by 5.

Answer:

step 2 is where she made her mistake

Step-by-step explanation:

- 4x + 1 > 9 ( subtract 1 from both sides )

- 4x > 8

divide both sides by - 4 , reversing the symbol as a result of dividing by a negative quantity.

x < - 2

Answer:

4 miles: 3 hours has a unit rate of 4/3 = 1.33 miles/hour which is greater than 17

7 miles: 1 hour has a unit rate of 7 miles/hour which is greater than 17.

1. The alternative hypothesis (\(H_a\)) is that the percentage is actually more than the reported percentage \(H_a\): p > 0.41. 2. The test statistic is 2.89. 3. Since the alternative hypothesis states that the percentage is "more than" the reported percentage, the test is one-tailed. 4. The critical value for a one-tailed z-test with a significance level of 0.01. 5. The test statistic (2.89) is greater than the critical value (2.33). 6. A laptop is more than the reported percentage of 41%.

Step 1 of 6: State the null and alternative hypotheses.

The null hypothesis (H₀) is that the percentage of readers who own a laptop is 41% (reported percentage):

H₀: p = 0.41

The alternative hypothesis (Ha) is that the percentage is actually more than the reported percentage:

\(H_a\): p > 0.41

Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.

To find the test statistic, we can use the formula for the z-test for proportions:

z = (\(\hat p\) - p) / √(p * (1 - p) / n)

Where:

\(\hat p\) is the sample proportion (50% = 0.50)

p is the hypothesized proportion (41% = 0.41)

n is the sample size (260)

Calculating the test statistic:

z = (0.50 - 0.41) / √(0.41 * (1 - 0.41) / 260)

z ≈ 2.89

Step 3 of 6: Specify if the test is one-tailed or two-tailed.

Since the alternative hypothesis states that the percentage is "more than" the reported percentage, the test is one-tailed.

Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H0.

To determine the decision rule, we compare the test statistic to the critical value at a given significance level (α). In this case, the significance level is 0.01.

Looking up the critical value for a one-tailed z-test with a significance level of 0.01, we find it to be approximately 2.33.

Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis.

Since the test statistic (2.89) is greater than the critical value (2.33), we can reject the null hypothesis.

Step 6 of 6: State the conclusion of the hypothesis test.

Based on the sample data, there is sufficient evidence at the 0.01 level to support the marketing executive's claim that the percentage of readers who own a laptop is more than the reported percentage of 41%.

The complete question is:

A publisher reports that 41% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually more than the reported percentage. A random sample of 260 found that 50% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim?

Step 1 of 6: State the null and alternative hypotheses.

Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places.

Step 3 of 6: Specify if the test is one-tailed or two-tailed.

Step 4 of 6: Determine the decision rule for rejecting the null hypothesis, H₀.

Step 5 of 6: Make the decision to reject or fail to reject the null hypothesis.

Step 6 of 6: State the conclusion of the hypothesis test.

To know more about hypothesis:

https://brainly.com/question/29576929

#SPJ4

The metric system is defined as the decimal system of units based on the meters, kilograms, and second as the units of length, mass, and time respectively. The imperial system is defined as the measurement system used in countries like the UK, Liberia, Myanmar, etc. that uses units like an inch, pound, ton etc.

The Metric and Imperial systems are both systems of measurement. That is, they are not just one unit of measure, but are correlated systems of many units of measure – measuring length and area, weight and mass, volume, force, temperature etc.

The imperial system of measurement is defined as a system that originated in Britain and came to formal use in the early 19th century with the Weights and Measures Act of 1824 and 1878. It uses some of the commonly used units there like an inch, ton, pound, gallon, pint, etc.

Most countries use the metric system which uses the measuring units such as meters and grams, and adds prefixes like kilo, milli, and centi to count orders of magnitude.

To read more about Measurement Units:

https://brainly.com/question/777464

The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.

First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.

Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.

Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.

Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.

The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.

To know more about calculated , visit ;

https://brainly.in/question/2221194

#SPJ11

Answer:

8 & 4

Step-by-step explanation:

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5. Also, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7. Therefore, it is clear that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

A Pythagorean triple is a set of three integers that satisfy the Pythagorean theorem, which states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the longest side, or hypotenuse. For example, the triple (3, 4, 5) is a Pythagorean triple because 3^2 + 4^2 = 5^2.

Now let's talk about triangular numbers. A triangular number is the sum of the first n positive integers, and it can be represented by the formula Tn = 1 + 2 + 3 + ... + n = (n(n+1))/2. The first few triangular numbers are 1, 3, 6, and 10.

Interestingly, in the list of the first few Pythagorean triples, we can observe a pattern where the value of b is four times a triangular number. For example, in the Pythagorean triple (3, 4, 5), we have b = 4T1. In (5, 12, 13), b = 4T2. In (7, 24, 25), b = 4T3. And in (9, 40, 41), b = 4T4.

So the question is: is this pattern true for all triangular numbers? Let's investigate further.

a) To find a primitive Pythagorean triple (a, b, c) with b = 4T5, we need to find a value of a and c such that a^2 + b^2 = c^2 and b = 4T5. Using the formula for T5, we get T5 = (5(5+1))/2 = 15. Therefore, b = 4T5 = 60. We can use the Euclid's formula for generating Pythagorean triples, which states that for any two positive integers m and n with m > n, a Pythagorean triple (a, b, c) can be generated by a = m^2 - n^2, b = 2mn, and c = m^2 + n^2.

If we set m = 4 and n = 1, we get a = 15 and c = 17, which means (15, 60, 17) is a primitive Pythagorean triple with b = 4T5.

Similarly, we can find primitive Pythagorean triples with b = 4T6 and b = 4T7 by using the same method. We get (21, 84, 87) for b = 4T6 and (28, 112, 113) for b = 4T7.

b) Now, the question is whether there is a primitive Pythagorean triple (a, b, c) with b = 4Tn for any triangular number Tn. Let's assume this is true and try to prove it.

Using the same Euclid's formula, we can generate a primitive Pythagorean triple (a, b, c) with b = 4Tn by setting m = 2Tn+1 and n = Tn. This gives us a = 4Tn^2 + 1 and c = 4Tn^2 + 2Tn + 1, and we can verify that b = 4Tn using the formula for Tn.

Therefore, we have proven that for every triangular number Tn, there is a primitive Pythagorean triple (a, b, c) with b = 4Tn

For more such questions on Pythagorean triple.

https://brainly.com/question/15190643#

#SPJ11

The given statement "descriptive statistics uses the data to make inferences and predictions about a population based on a sample of data taken from the population in question" is FALSE.

How is this false?

Descriptive statistics is a branch of statistics that studies and summarizes a set of data's main features. It aids in the interpretation of data and drawing conclusions about the population based on sample data. Descriptive statistics are used to provide a quick summary of the data set's key characteristics.

An inference is a statistical method of estimating the characteristics of a population based on a sample's data. It is a method of predicting data in a population based on the observations made in a sample. The primary goal of inferential statistics is to make predictions about a population based on data from a sample of that population.

Predictions are projections or guesses about what might occur in the future. When used in statistics, prediction refers to the use of current data to estimate what might occur later. A statistical model is usually used to make a prediction.

A population is the entire collection of items or individuals about which you want to learn in statistics. A population is made up of all of the objects or people who possess the qualities that the researcher is interested in researching.

A sample is a subset of a population that is used to collect data and conduct statistical analyses. The sample size is typically less than the population size, and data collected from a sample is used to make inferences about the population as a whole.

Learn more about Inferential Statistics.

brainly.com/question/30761414

#SPJ11

Step-by-step explanation:

let's do the operations :

6(2x - 7) - 3 = 12x - 21

12x - 42 - 3 = 12x - 21

-45 = -21

that is never true, no matter what values for x we come up with.

and therefore, there is no solution.