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The number of possible k-lists (x₁, x₂, ..., xₙ) where each xₙ is a positive integer and 1 ≤ x₁ ≤ x₂ ≤ · · · ≤ xₙ ≤ n is given by the formula n choose k, or (n choose k) = n!/(k!(n-k)!)

First, let's consider the case when k = 1. In this case, there is only one integer in the list, and it must be a positive integer between 1 and n inclusive. Therefore, there are n possible k-lists when k = 1.

We can continue this process for larger values of k.

In general, the number of possible k-lists is the number of ways we can choose k positive integers between 1 and n inclusive such that the first integer is less than or equal to the second integer, the second integer is less than or equal to the third integer, and so on up to the kth integer being less than or equal to n.

Using the formula for combinations, this is equal to n choose k, or (n choose k) = n!/(k!(n-k)!), where n! is the factorial of n.

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Answer:

undetermined

you need more info, what does x equal?
This is only true if x=0

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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To fidn the surface area of the grain tank you need to find the area of:

Cylinder (without one of the bases as there are just one base exposed), use the next formula:

You have for the given cylinder:

h=12ft

r: as the diameter is 8.4ft the radius is 8.4tf/2=4.2ft

Cone (without the base as the base is not exposed), use the next formula:

You have for the given cone:

r= 4.2ft

s= 5.5ft

The entire exposed surface of the tank is:

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

Answer:

yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks

a) Let's calculate the probability that two out of the six residential fires reported on a single day are in apartments.

Let A be the event of a fire in an apartment. The probability of A is given as P(A) = 0.20.

We can use the binomial probability formula to calculate the probability of getting exactly two fires in apartments out of six fires:

\(\[ P(\text{{two fires in apartments}}) = \binom{6}{2} \times (0.20)^2 \times (1-0.20)^4 \]\)

Simplifying this expression, we get:

\(\[ P(\text{{two fires in apartments}}) = \binom{6}{2} \times (0.20)^2 \times (0.80)^4 \]\)

Using the binomial coefficient formula, we have:

\(\[ P(\text{{two fires in apartments}}) = \frac{6!}{2!(6-2)!} \times (0.20)^2 \times (0.80)^4 \]\)

Calculating this expression, we find:

\(\[ P(\text{{two fires in apartments}}) \approx 0.1382 \]\)

Therefore, the probability that two out of the six residential fires reported on a single day are in apartments is approximately 0.1382.

b) Let's calculate the probability that two fires are in family homes, one is in an apartment, and one is in another type of dwelling out of four residential fires reported on a single day.

Let F be the event of a fire in a family home, A be the event of a fire in an apartment, and O be the event of a fire in another type of dwelling. The probabilities of F, A, and O are given as P(F) = 0.73, P(A) = 0.20, and P(O) = 0.07, respectively.

Using the same binomial probability formula, we can calculate the probability of getting two fires in family homes, one in an apartment, and one in another type of dwelling:

\(\[ P(\text{{two fires in family homes, one in an apartment, one in another dwelling}}) = \binom{4}{2, 1, 1} \times (0.73)^2 \times (0.20)^1 \times (0.07)^1 \]\)

Simplifying this expression, we get:

\(\[ P(\text{{two fires in family homes, one in an apartment, one in another dwelling}}) = \binom{4}{2, 1, 1} \times (0.73)^2 \times (0.20)^1 \times (0.07)^1 \]\)

Using the multinomial coefficient formula, we have:

\(\[ P(\text{{two fires in family homes, one in an apartment, one in another dwelling}}) = \frac{4!}{2!1!1!} \times (0.73)^2 \times (0.20)^1 \times (0.07)^1 \]\)

Calculating this expression, we find:

\(\[ P(\text{{two fires in family homes, one in an apartment, one in another dwelling}}) \approx 0.3462 \]\)

Therefore, the probability that two out of the four residential fires reported on a single day are in family homes, one is in an apartment, and one is in another type of dwelling is approximately 0.3462.

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Answer:

x = 3

Step-by-step explanation:

\(2x^{2}\) = 36

\(\sqrt{2x^{2}}\) = \(\sqrt{36}\)

2x = 6

\(\frac{2x}{2}\) = \(\frac{6}{2}\)

x = 3

hope this helps!

Answer:

FDE

Step-by-step explanation:

Answer:

Step-by-step explanation:

ANSWER:

The attendance before the increase is 4714

STEP-BY-STEP EXPLANATION:

From the statement we can propose the following equation

solving for x:

Answer:

y=2x-14

Step-by-step explanation:

y=mx+c

-6=2(4)+c

-6=8+c

-6-8=c

c=-14

y=mx+c

y=2x-14

Answer:

192

Step-by-step explanation:

4(15)+11(12)

15+15+15+15=60

4(15)=60

12+12+12+12+12+12+12+12+12+12+12=132

11(12)=132

60+132=192

Hope this helps ;) ❤❤❤

Answer:

#7

Ratio of corresponding sides (determined by opposite angles)

The ratios are equal, the polygons are similar

# no number

Ratios:

Yes, similar

# 8

The triangles are isosceles.

The ratios of bases and sides:

B. ABC ~ MNO, SSS

Answer:

it's 2 meters

.........................

Answer:

GH ll BC

BC=GH➗2

GA=GH➗2

BC=GA= 7z-1

-------

2

Answer:

a) In a coordinate plane, the horizontal axis is the x-axis, and the vertical axis is the y-axis.

So, a point (x, y) is at:

A horizontal distance of x units from the origin.

A vertical distance of y units from the origin.

So the point (3, -7) is at:

3 units at the right from the origin

7 units downwards (because is a -7) from the origin.

The graph of the point can be seen below:

Now we want to find a reflection across the x-axis.

b) For a general point (x, y), a reflection across the x-axis gives:

(x, -y)

So, if our point P is:

P (5, 1)

The reflection across the x-axis just changes the sign of the y-value, which gives:

(5, -1)

Then the correct option is point C:

(5, -1)

Answer:

its C on exgenity

Step-by-step explanation:

The area of the enclosure is approximately 128.6 acres

To find the area of the trapezoid ABCD, we first need to find the lengths of its parallel sides. Let's use the fact that the angles of a quadrilateral add up to 360 degrees:

Angle ABC = 124 degrees

Angle BCD = 85 degrees

Angle CDA = 96 degrees

Angle DAB = 360 - 124 - 85 - 96 = 55 degrees

Now we can use the tangent function to find the lengths of the sides:

tan(2 degrees) = (height of AB) / (distance between Anna and Benito)

(height of AB) = (distance between Anna and Benito) × tan(2 degrees)

(distance between Anna and Benito) = (713 - 690) / tan(2 degrees) ≈ 18490.3 ft

(height of AB) ≈ 429.4 ft

Similarly, we can find the height of CD:

tan(3 degrees) = (height of AD) / (distance between Anna and Deon)

(height of AD) = (distance between Anna and Deon) × tan(3 degrees)

(distance between Anna and Deon) = (725 - 690) / tan(3 degrees) ≈ 8639.5 ft

(height of AD) ≈ 459.6 ft

Now we can use the trapezoid area formula:

Area = (height of AB + height of CD) × (sum of the parallel sides) / 2

Area = (429.4 + 459.6) × ((18490.3 + 8639.5) / 2) / 5280 ≈ 128.6 acres

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a) The solution of the power series is p = -1, 1.

b) Yes,  p is there a polynomial solution

Power series methods are a powerful tool for solving differential equations. In this case, we will be using power series methods to solve the differential equation (1-x)y - xy' + py = 0 and to find out for what values of p, there is a polynomial solution.

Substituting the power series expansions of y and y' into the differential equation (1-x)y - xy' + py = 0,

Now, we equate the coefficients of each power of x to zero:

For x⁰, we get: (1-x)a0 + pa0 = 0, which gives a0(1+p) = 0. Since we want a non-zero polynomial solution, we must have a0 ≠ 0. Therefore, we must have 1 + p = 0, i.e., p = -1, for a polynomial solution.

For x¹, we get: -a1 - xa1 + pa1 = 0, which gives a1(1-p) = 0. Again, since we want a non-zero polynomial solution, we must have a1 ≠ 0. Therefore, we must have 1 - p = 0, i.e., p = 1, for a polynomial solution.

Thus, the only values of p for which there is a polynomial solution are p = -1 and p = 1.

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Answer:

1 1/6

Step-by-step explanation:

1 2/3 - 1/2 =

1 2/3 = 1 4/6

1/2 = 3/6

1 4/6 - 3/6 =

1 1/6

Answer:

x=1

Step-by-step explanation:

f(x)=5x−4

f(x) = 1

1 = 5x - 4

Add 4

1+4 = 5x-4+4

5 = 5x

Divide by 5

5/5 = 5x/5

1 = x

a) Radicand is 1/4

b) x= 4.5 or -2.5

A quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 .

Given equation is:

16x²-8x+1=0

Now,

(4x)²-2*4x*1 + (1)²=0

Using

(a+b)²= a² + 2ab + b²

So,

(4x)²-2*4x*1 + (1)² = (4x+1)²

x=1/4

b) 4x² - 8x - 45 = 0

Using discriminant method

D = √[(-8)² - 4(4)(-45)]

   = √784

   = 28

Now, x = (1/8)[8 +/- 28]

  = (1/8)(36) = 4.5

or, x = (1/8)(-20)

 = -2.5

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No, it is not safe to assume that the sampling distribution of the sample means is about normal given the sample size.

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The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

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Note : This is a computer science question

Answer:

Mark me as brainliest please!

Step-by-step explanation:

Answer:

e.

Step-by-step explanation:

e.

For the standardized dataset , the value of median = mean , which is equal to 7

The mean of the close friends people have = 7

The variance = 100

Standard deviation can be found using the formula

                   v = σ²

where  v is the variance and

            σ is the standard deviation

Then ,                  σ² = 100

                            σ  = √100

                            σ  = 10

Therefore , the standard deviation for the close friends have is 10

The standard score for these vales can be found using the formula

                         Z = (X - μ) / σ

where Z is the standard score

           X is the raw score

           μ is the mean

           σ is the standard deviation

Using this formula, the standard score of any raw score can be calculated.

For, the standardized dataset , the value of median will be equal to value of median.

                           Median = mean

                           Median = 7

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The equation that is equivalent to 1/7x - 4/3 is (3x - 28)/21. The equation that is equivalent to 1/7x - 4/3.

Select the equation that is equivalent to 1/7x - 4/3.

The equation that is equivalent to 1/7x - 4/3 is (3x - 28)/21.

To find an equivalent equation, we need to simplify the expression 1/7x - 4/3.

First, let's find a common denominator for the two fractions, which is 21.

Next, we can rewrite 1/7x as (1/7)x, and multiply the numerator and denominator of 1/7 by 3 to get 3/21x.

Then, we can rewrite 4/3 as (4/3)(7/7) to get 28/21.

Combining these results, we have (3/21x) - (28/21).

Finally, we can simplify the expression by combining like terms, resulting in (3x - 28)/21.

Therefore, the equation that is equivalent to 1/7x - 4/3 is (3x - 28)/21.

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Answer:

A = 78.5 cm²

Step-by-step explanation:

Area = π · radius²

if diameter is 10 then radius is 5

A = 5²·π

A = 25 × 3.14

A = 78.5 cm²

Answer:10,260

Step-by-step explanation:I took the test

Answer:

60

Step-by-step explanation: