Who created 3x 1 problem?

Therefore, the average number of machines waiting for service is 0.083 (rounded to three decimal places).

To calculate the average number of machines waiting for service, we can use the concept of the M/M/1 queue, where arrivals follow a Poisson distribution and service times follow a negative exponential distribution.

In this case, the arrival rate (λ) is 1 breakdown every 4 working days, and the service rate (μ) is 1 repair job per day.

The utilization factor (ρ), which represents the system's utilization, can be calculated as ρ = λ/μ = (1/4)/(1) = 1/4.

The average number of machines waiting for service (Lq) can be calculated using the formula Lq = ρ² / (1 - ρ).

Plugging in the values, we have Lq = (1/4)²/ (1 - 1/4) = 1/12.

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Answer:

x = -1

Step-by-step explanation:

17x > -17, Divide both sides by 17

17x / 17 > -17 / 17

x > -1

The two towns are distance 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

60 miles

1 inch = 20 miles

3 inches = 20 miles x 3 = 60 miles

The scale of a map is a way of expressing the relationship between the distances on the map and the actual distances in the world. If the scale on a map is 1 inch to 20 miles then it means that 1 inch on the map represents 20 miles in the real world. If two towns are 3 inches apart on the map, then this means that the actual distance between them is 3 times the scale, or 3 x 20 miles = 60 miles.

The two towns are 60 miles apart in the real world if they are 3 inches apart on a map with a scale of 1 inch to 20 miles.

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The series can be rewritten using summation notation as: ∑(10n + 3) from n = 1 to 13

In the given series, each term is obtained by adding 10 to the previous term. So, we can write the nth term as 10n + 3, where n represents the position of the term in the series.

Using the summation notation, we can write the sum of the series as the sum of the nth terms from n = 1 to 13.
Therefore, the summation notation is:

∑(10n + 3) from n = 1 to 13

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Answer:

Seat number 140 gets all three treats

Step-by-step explanation:

Given

\(Twizzlers = Multiples\ of\ 4\)

\(Nachos = Multiples\ of\ 7\)

\(Popcorn = Multiples\ of\ 10\)

Required

Determine first person to get all kinds of treats

To do this, we simply need to determine the LCM of the given multiples:

\(4 = 1 * 2 * 2\)

\(7 = 1 * 7\)

\(10 = 1 * 2 * 5\)

\(L.C.M = 1 * 2 * 2 * 7 * 5\)

\(L.C.M = 140\)

Seat number 140 gets all three treats

The equation that represents the transformation of vertical reflection and shift down by 3 of a cubic function is (a) \(g(x) = -x^{3} -3\) .

The Cubic function is represented as ; \(y=x^{3}\) ;

we have to apply the given transformations :

(i) The first transformation states that , there is a vertical reflection of the cubic function ,

So , after vertical reflection that equation becomes ⇒ \(y=-x^{3}\) ;

(ii) The second transformation is : the graph shifts down by 3 units ,

So ,after shifting down by 3 units the equation becomes ⇒ \(y = -x^{3} -3\) ;

let the function y be denoted by g(x) .

Therefore , after applying the transformation the equation becomes \(g(x) = -x^{3} -3\) .

The given question is incomplete , the complete question is

Which equation represents these transformations of a cubic function?

(i) vertical reflection

(ii) shift down 3

(a) g(x) = -x³ -3

(b) g(x) = (-x)³ +3

(c) g(x) = (x+3)³

(d) g(x) = -(x-1)³ + 3

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Answer: 56/33

Step-by-step explanation: Tan= Opposite over Adjacent or O/A

If m>1 is a prime, then there exist i and j,i≠j satisfying m|(ai−bj).

1. Let ai and bj be any two elements in the permutation a1,...,am.

2. Since m is prime, ai and bj are relatively prime.

3. This means that there exist integers x and y such that xai + ybj = 1.

4. Substituting this into the expression m|(ai - bj), we get:

```

m|(xai + ybj) - bj = xai

```

5. Since x and y are integers, and ai is an integer, xai is also an integer.

6. Therefore, m|xai, which means that there exist i and j,i≠j satisfying m|(ai−bj).

* **(b)** If m is composite, then there exist i and j,i≠j satisfying m|(ai−bj).

This can be shown using the following steps:

1. Let ai and bj be any two elements in the permutation a1,...,am.

2. Since m is composite, there exists a k such that 1<k<m and k|m.

3. This means that k|ai and k|bj.

4. Substituting this into the expression m|(ai - bj), we get:

```

m|(kai - kbj) = kai - bj

```

5. Since k is an integer, and ai and bj are integers, kai - kbj is also an integer.

6. Therefore, m|kai - kbj, which means that there exist i and j,i≠j satisfying m|(ai−bj).

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The most appropriate missing data treatment technique to give the best estimates of model parameters is multiple imputations.

While listwise deletion and mean substitution are simpler methods, they can result in biased estimates if the missing data are not randomly distributed.

On the other hand, multiple imputations involve creating multiple plausible imputed datasets based on the observed data and statistical models and then analyzing each imputed dataset separately before combining the results to obtain the final estimates.

This method takes into account the uncertainty associated with the missing data and produces more accurate estimates compared to other techniques.

Therefore, although multiple imputations require more effort and computation, it is considered the preferred approach for handling missing data in statistical analysis.

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Answer:

Step-by-step explanation:

1. T

2. F

3. F

4. T

5. F

6. T

A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

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Answer:

Translation, then reflection. E

Step-by-step explanation:

E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.

Answer:

I need help with this too and I need points

Step-by-step explanation:

Answer:

1. Austin has to make more jumps

2. Dylan has to make 5 jumps

3. Austin has to make 10 jumps

4. Dylan would be further

5. Dylan

6. Dylan won the race

Step-by-step explanation:

Answer:

C polyatomic atoms

Step-by-step explanation:

a) The appropriate sample size to achieve a margin of error of $0.10 with a confidence level of 91.5% is 111

b) The appropriate sample size to achieve a margin of error of $0.07 with a confidence level of 95.845% is 301

c) The appropriate sample size to achieve a margin of error of $0.05 with a confidence level of 97.268% is 543 integer).

a) To achieve a margin of error of $0.10 with a confidence level of 91.5%, the appropriate sample size can be calculated as follows:

Margin of error (E) = z* (standard deviation/√(n))

where z* is the z-value associated with the desired confidence level, and n is the sample size.

We can rearrange the formula to solve for n:

n = [(z* * standard deviation) / E]²

Substituting the given values:

z* = 1.70 (from the z-table for 91.5% confidence level)

Standard deviation = $0.25

E = $0.10

n = [(1.70 * 0.25) / 0.10]² = 110.25 ≈ 111 (rounding up to the nearest integer).

b) To achieve a margin of error of $0.07 with a confidence level of 95.845%, the appropriate sample size can be calculated as follows:

z* = 1.99 (from the z-table for 95.845% confidence level)

Standard deviation = $0.25

E = $0.07

n = [(1.99 * 0.25) / 0.07]² = 300.06 ≈ 300 (rounding up to the nearest integer).

c) To achieve a margin of error of $0.05 with a confidence level of 97.268%, the appropriate sample size can be calculated as follows:

z* = 2.34 (from the z-table for 97.268% confidence level)

Standard deviation = $0.25

E = $0.05

n = [(2.34 * 0.25) / 0.05]² = 542.52 ≈ 543 (rounding up to the nearest integer).

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The extension cord is an illustration of unit rates, and the price per foot is $0.47 per foot

The given parameters are:

Length = 6 yards

Cost = $8.46

Convert the length from yard to feet.

So, we have:

Length = 6 feet * 3

This gives

Length= 18 feet

The price per foot is then calculated using:

Rate = Cost/Length

This gives

Rate = 8.46/18

Evaluate

Rate = 0.47

Hence, the price per foot is $0.47 per foot

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Answer:

FGHI is a Parallelogram

Answer:

\(12\sqrt{8} ^{x}\)

Step-by-step explanation:

Answer:

When you combine like terms, you look for the same variable or look for constants. In this case, the same variable if 'k'. Now you add the coefficients 7 and 3, which is 10. So the expression simplifies to 10k + 11.

Hope this helps!

Answer:

10k + 11

Step-by-step explanation:

Like terms are terms that have the same amount of the same variables.

In this case, note that two of the terms have the variable "k" attached:

7k & 3k, respectively.

In this case, the question asks you to combine like terms, or to simplify the given expression:

7k + 3k + 11

(7k + 3k) + 11

10k + 11

10k + 11 is your answer.

~

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a) The determinant of the coefficient matrix for system (a) is non-zero, indicating that a unique solution exists.b) The determinant of the coefficient matrix for system (b) is zero.

To test the systems for the existence of a solution using determinants:

a) For system (a), we can write it in matrix form as:

| 2 4 1 | | p1 | | 77 |

| 4 3 7 | * | p2 | = | 114 |

| 2 1 3 | | p3 | | 48 |

To check if a solution exists, we need to calculate the determinant of the coefficient matrix:

| 2 4 1 |

| 4 3 7 |

| 2 1 3 |

If the determinant is non-zero, a unique solution exists. If the determinant is zero, either no solution exists or infinitely many solutions exist.

b) For system (b), we can write it in matrix form as:

| 1 3 3 | | p1 | | 32 |

| 1 4 3 | * | p2 | = | 37 |

| 1 3 4 | | p3 | | 35 |

Again, we need to calculate the determinant of the coefficient matrix:

| 1 3 3 |

| 1 4 3 |

| 1 3 4 |

If the determinant is non-zero, a unique solution exists. If the determinant is zero, either no solution exists or infinitely many solutions exist.

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Answer:

21÷-3=-7

I dont know what all those extra boxes are for but I hope I helped a little

Answer:

ECHA

Step-by-step explanation:

To find the slope, use the slope formula.

1) The image is very blurry, so I can't tell what the points are, but it looks like the slope is 1/2.

2) m=y2-y1/x2-x1

=0-(-4)/5-3

=4/2

=2

3) m=y2-y1/x2-x1

=(-3-(-6))/(-4-2)

=3/-6

=(-1/2)

4) It looks like -2 to me. The image is too blurry to be exact though.

I hope this is correct and helps you on your homework! Good luck!

Slope intercept form

\(\\ \sf\longmapsto y=mx+b\)

\(\\ \sf\longmapsto 3=\dfrac{8}{4}+b\)

\(\\ \sf\longmapsto b+2=3\)

\(\\ \sf\longmapsto b=3-2=1\)

The slope of the tangent line to the curve f(x) = 3x² + 4x - 5 at the point (2, 15) is 16.

Given the equation of the curve:

f(x) = 3x² + 4x - 5

The slope of the tangent to the curve at the given point (Use the limit at (2,15) = ?

To find the slope of the tangent to the curve at the given point (2, 15), we need to find the derivative of the function f(x) = 3x² + 4x - 5 and evaluate it at x = 2.

Let's start by finding the derivative of f(x):

f(x) = 3x² + 4x - 5

f'(x) = d/dx (3x² + 4x - 5)

Using the power rule of differentiation, we differentiate each term:

f'(x) = 6x + 4

Now we can evaluate the derivative at x = 2 to find the slope of the tangent at that point:

f'(x) = 6x + 4

f'(2) = 6(2) + 4

f'(2) = 12 + 4

f'(2) = 16

Therefore, the slope of the line is 16.

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Answer:

OG, OC, TG, TC, VG, VC

Step-by-step explanation:

Soups: O, T, V

Salads: G, C

For each soup, he can choose 2 salads.

OG, OC, TG, TC, VG, VC

The sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

Sample space is the set of all the possible values or the outcomes of a event.

Let suppose the coin are tossed two times. Then the set of possible outcome or sample space of it can be given as,

\(S=\{HH,HT,TH,TT\}\)

Here, H denotes the head and T denotes the tail part of the coin.

A customer at a restaurant can choose a soup and a salad from the menu choices shown.

For this menu the customer choose one onion as soup and one garden as salad which can be represented as (OG). Similarly, the sample space of his choice can be,

\(\{OG, OC, TG, TC, VG, VC\}\)

Thus, the sample space represents all the possible ways to choose one soup and one salad is {OG, OC, TG, TC, VG, VC}.

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Answer:

B. 263¢

Step-by-step explanation:

$1 = 100¢ so,

$2.63 = 263¢ since,

$2.63 × 100 = 263¢

Hope this helps!!

right:wrong is 10:2 which can be reduced by 2 on both sides so you get 5:1

hope it helps comment if you have any questions and have an amazing day

Hello !

\(a - (a - b) - b - (b - a)\\\\= a - a + b - b - b+a\\\\\boxed{= a - b}\)

Answer:

Step-by-step explanation:

a - ( a - b ) - b - ( b - a )

= a - a + b - b - b + a

= a - b