What is the next term of the arithmetic sequence?
-3,0,3, 6, 9,

Pls lmk

Answer:

x<3 or x> 3/14

Step-by-step explanation:

Six Sigma provides a continuous improvement framework and it has two methodologies.

DMAIC - Define, Measure, Analyze, Improve and Control.

DMADV - Define, Measure, Analyze, Design and verify

What is Six Sigma ?

According to the Six Sigma philosophies, every work can be broken down into discrete processes that may be measured, evaluated, improved, and managed.

                     Processes result in outputs after requiring inputs (x) (y). You can manage the outputs if you manage the inputs. This is typically written as y = f. (x).

What is a fundamental principle of Six Sigma?

The management practice known as "six sigma" aims to reduce errors. It is based on the idea that reducing defects is essential for improving margins, that costs can be cut, and that increasing customer loyalty can help because it is expensive to harbor defects.

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A new company wants to offer a line queuing service where customers book someone to wait in line on their behalf through a smart phone app.

The possibility that no one wants to pay someone else to wait in line can be represented by the concept of probability.

The probability of an event occurring is defined by probability.

The outcome of an event may be known to us or unknown to us. When this happens we say that there is a chance that the event will happen or not.

We can identify probability by simply dividing the favorable number of possibilities by the entire number of possible outcomes.

Hence, probability is a numerical representation of the chance that a specific event will take place.

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The bank routing number on a check is a 9-digit code used to identify a financial institution in a transaction. It is also known as an ABA routing number, an RTN, and a routing transit number.

In order to determine the routing number on a check:

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Answer:

100.8 is the correct answer

Answer:

100.8

Step-by-step explanation:

100.8 > 1.0079

Answer:

0.5

Step-by-step explanation:

5/10 of a circle is half of the circle.

Half is 0.5.

I personally like the square method but I am lazy to draw this out (take too long)

5x²-13x-6 = (5x+2)(x-3)

x = -2/5 or 3

Double-check:

5x²-15x+2x-6  = 5x²-13x-6 √

Answer:

  ... centroid, or center of gravity.

Step-by-step explanation:

The point of concurrency of the medians of a triangle is always inside the triangle and is called the ______.

A median joins a vertex of a triangle with the midpoint of the opposite segment. It is a line segment that lies entirely within the triangle. Hence any two medians will meet at a point that is within the triangle.

The point of concurrency of medians is called the "centroid." If the triangle has uniform areal density, the centroid will be the center of gravity, the point at which the triangle could be balanced.

The centroid divides each median into parts in the ratio 1:2, where the longer part is the segment to the vertex, and the shorter is the segment to the midpoint of the side.

The value of the third angle when discussing the angles on the straight line when other angles are given is 60°.

Your information is incomplete. Therefore, an overview will be given. It should be noted that the angle on a straight line is 180°.

In this case, let's assume that A is 45° and B is 75°, the value of the third angle will be calculated thus:

= 180° - (45° + 75°)

= 180° - 120°

= 60°

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We are to use the power reducing formula to rewrite cos⁴x in terms of the first power of cosine.

Here,

we have

cos⁴x

We can rewrite

cos⁴x as cos²x * cos²x

This is so because of the formula

(cos (A + B))(cos (A - B)) = cos²A - sin²BCos² x = (1 + cos 2x)/2 and cos 2x = 2cos²x - 1

Hence,

(cos⁴x) = (cos²x * cos²x) = (cos²x)(1 + cos 2x)/2

Again,

cos 2x = 2cos²x - 1

Therefore

(cos⁴x) = (cos²x * cos²x) = (cos²x)(1 + cos 2x)/2= (cos²x)(1 + 2cos²x - 1)/2= (cos²x)(2cos²x)/2= cos²x(cos²x)

This is in terms of the first power of cosine and is the required answer.

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The equation to represent the given table is y=27x.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

From the table:

a) Proportional

2/54 = 3/81

1/27 =1/27

Yes, the number of tickets and total cost are Proportional

b) Using coordinates (2, 54) and (3, 81)

m=(81-54)/(3-2)

m=27

Substitute m=27 and (x, y)=(2, 54) in y=mx+c, we get

54=27(2)+c

c=0

Substitute m=27 and c=0 in y=mx+c, we get

y=27x

So, the equation is y=27x

c) Number of tickets are 14

d) Total cost = $378

Therefore, the equation to represent the given table is y=27x.

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Answer: f=3

Step-by-step explanation:

The intervals means that angle f is between the quadrant 1.

where x+y=90

13

Explanation:

Given: 52 divided by 4​

There should be an equal to sign in order to perform an inverse operation.

Let the answer we get after dividing 52 by 4 = x

52/4 = x

52 divided by 4​ becomes:

52 = 4x

x is multiplied by 4. The inverse operation of multiplication is division.

So, we will divide 4 on both sides of the equation:

52/4 = 4x/4

13 = x

x = 13

The answer is 13

To differentiate the function f(x) = qx + r/sx + t, where q, r, s, and t are constants, the derivative is given by f'(x) = q - (r/s) * (1/x^2).

To differentiate the given function, we need to apply the rules of differentiation. Let's break down the steps:

1. Differentiate qx with respect to x: Since q is a constant, the derivative of qx is simply q.

2. Differentiate r/sx with respect to x: We can rewrite r/sx as r * (s * x)^(-1). Applying the power rule of differentiation, the derivative of (s * x)^(-1) is (-1) * (s * x)^(-1 - 1) * s = -s/x^2.

3. Differentiate t with respect to x: Since t is a constant, the derivative of t with respect to x is 0.

4. Combining the derivatives obtained from the previous steps, we have f'(x) = q - (r/s) * (1/x^2).

Therefore, the derivative of the given function f(x) = qx + r/sx + t, where q, r, s, and t are constants, is f'(x) = q - (r/s) * (1/x^2).

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Answer:

the fourth option is correct

t = 29

we know this bc you have to distibute the parthentesis and then solve the rest of the equation  

Answer:

4th solution

Step-by-step explanation:

2 (t-5) = 48

Divide each side by 2

2/2 (t-5) = 48/2

t-5 = 24

Add 5 to each side

(t-5+5) = 24+5

t = 29

Solution:

Given;

Step-by-step explanation:

\( f(x) = - 3 {x}^{2} + 9x - 2\)

A) f(-2) + f(1) = -32 + 4 = -28

B) f(-2) - f(1) = -32 - 4 = -36

Any value that is raised to the power of zero is 1. The value of the expression given in its simplified form is 1

Any value that is raised to the power of zero is 1. Given the expression

(30^2)^0

Simplify

30^2 = 900

Substitute into the original function to have:

(30^2)^0 = 900^0
(30^2)^0 = 1

Hence the value of the expression given in its simplified form is 1

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Answer:

star or asterisk if you are talking about (*)

Answer:

(*) is similar to (×)

and it means multiply

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.

(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.

(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.

(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.

Use the above illustration to answer your question.

Answer:

C: Both distributions are skewed right.

Step-by-step explanation:

Answer:

The missing term is 3x

Step-by-step explanation:

Given

-(x - 1) + 5 = 2(x + 3) - _

Required

Find _

For proper identification of the parameters, represent _ with Z

So, the equation becomes

-(x - 1) + 5 = 2(x + 3) - Z

Open bracket (start from the left hand side)

-x + 1 + 5 = 2(x + 3) - Z

-x + 1 + 5 = 2x + 6 - Z

Solve like terms

-x + 6 = 2x + 6 - Z

Subtract 6 from both sides

-x + 6 - 6 = 2x + 6 - 6 - Z

-x = 2x - Z

Subtract 2x from both sides

-x - 2x = 2x - 2x - Z

-3x = -Z

Multiply both sides by -1

-3x * -1 = -Z * -1

3x = Z

Reorder

Z = 3x

Hence, the missing term is 3x

Answer:

answer is 3x

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter.  34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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log 30+ log 6 is not equivalent to log 36

Equivalent expressions are expressions that perform the same function not with standing their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).

The original phrase is as follows

Log 36

Following that, we write the alternatives (a) log 2+ log 18

Apply the logarithmic rule log 2+ log 18 log (218)

Log 2 plus log 18 log (36)

Remove the bracket

Log 2 plus log 18 log36

(a) Log 2+ Log 18 is the same as log 36.

(b) Log 30 plus log 6

Use the logarithms’ law. 30 logs or more 6 logs (30 x 6)

Log 30 plus log 6 Equals log (180)

Remove the bracket

Log 30-plus log 6-log180

Hence,

(c) Log 30+log 6 does not equal log 36.

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The number of possible groups or combination of three men can be formed from 10 is 120.

According to the given question.

Total number of men in a company, n = 10.

Number of men to be selected, r = 3

As we know that, What is a combination in math?

Image result for what is combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Therefore, the number of possible groups or combination of three men can be formed from 10

= \(^{10} C_{3}\)

= 10!/ 3!7!

= 10(9)(8)/3(2)

= 5 × 3 × 8

= 120

The number of possible groups or combination of three men can be formed from 10 is 120.

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All the roots of the polynomial 2x⁴+ x³-8x²- 4x = 0 are x = -2, x = -0.5, x = 0, x = 2 ( Option A ).

Given polynomial :

2x⁴+ x³-8x²- 4x = 0

The highest power of the polynomial is 4. This implies that this polynomial will have 4 roots or 4 zeroes.

There are numerous ways of finding roots or zeroes of a polynomial of any degree.

A root or zero of a polynomial is a solution or value of the variable which gives the value of the polynomial equal to 0.

Since this is a multiple choice based question, the easiest approach to this question is by eliminating options and finding the correct answer.

Option B and C get eliminated instantly because they have only three roots, however this is a polynomial of degree 4 and should have 4 roots.

For option A and C, we put x= -2, x = -0.5, x = 0, x = 2, and x = 0.5 in the given polynomial to check if the answer is equal to zero.

For x = -2, we get 2x⁴+ x³-8x²- 4x = 0

For x = 2, we get 2x⁴+ x³-8x²- 4x = 0

For x = 0, we get 2x⁴+ x³-8x²- 4x = 0

For x = -0.5, we get 2x⁴+ x³-8x²- 4x = 0

For x = 0.5, we get 2x⁴+ x³-8x²- 4x = -3.75

From this result, option C gets ruled out and all the values in option A check out as a root of the given polynomial.

Therefore, we get all the roots of the polynomial 2x⁴+ x³-8x²- 4x = 0 as x = -2, x = -0.5, x = 0, x = 2

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Answer:

Jen needs approximately 8 tiles to cover the kitchen floor

Step-by-step explanation:

What we want to calculate here is the number of tiles needed to cover the kitchen floor.

The first thing we need to do here is to calculate the area of the kitchen floor.

Mathematically, that would be the product of the length of the kitchen floor and the length of the width.

That is; 4 5/6 * 5 = 29/6 * 5 = 145/6 m^2

Now, to calculate the number of tiles needed, we only need to divide the area of the kitchen floor by the area of the individual tiles

Mathematically, that would be;

145/6 ÷ 3 = 145/6 * 1/3 = 145/18 = 8.05556

This is approximately 8 tiles

The p - value is, 0.3317.

What is test statistic?

In statistical hypothesis testing, a test statistic is a statistic that is employed. A hypothesis test is often defined in terms of a test statistic, which is a numerical summary of a data set that can be used to execute the test and reduces the data to one value.

Given: A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s.

In 1990s, the average amount of time spent playing computer games was 10. 2 hours per week.

Is the amount of time greater than that for this year? twenty students were surveyed and asked how many hours they spent playing video games.

The test statistics is equal to 0.45.

H0: μ = 10.2

H1: μ > 10.2

Test statistic:

t = 0.45          (since n is small)

P value = 0.3317

Hence, the p - value is, 0.3317

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The probability that both the people own a dog is 0.3364  .

Probability of an event E is defined as the number of favorable cases divided by total number of cases .

denoted by ,

P(E) = \(\frac{number.of.favorable.cases}{total.number.of.cases}\)

In the question , it is given that the

percentage of people  owning a dog = 58%

Probability of selecting a dog at random = 58/100 = 0.58

If we select two people at random then

the probability that both people will own a dog will be ,

P(both own a dog) = P(first person own a dog)*P(second person own a dog)..........as owning a dog is an independent event

= 0.58*0.58

= 0.3364

Therefore , the probability that both the people own a dog is 0.3364 .

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The correct null and alternative hypotheses in this case are:H0: p >= 0.18 (the proportion of graduates with loan debt 20 years after graduating is greater than or equal to 18%)
Ha: p < 0.18 (the proportion of graduates with loan debt 20 years after graduating is less than 18%)

Here, the null hypothesis assumes that the proportion of graduates with loan debt 20 years after graduating is greater than or equal to 18%. The alternative hypothesis assumes that the proportion of graduates with loan debt 20 years after graduating is less than 18%, which is what the college graduate wishes to test. Therefore, if the sample data provides sufficient evidence to reject the null hypothesis, then it can be concluded that the proportion of graduates with loan debt 20 years after graduating is less than 18%.

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