Does someone mind helping me with this problem? Thank you!

There are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

The concept of combinations is used to find the number of ways to choose a certain number of items from a larger set of items, without regard to their order. In this case, the larger set of items is the 15 pieces of candy (8 strawberry and 7 rhubarb), and we want to find the number of ways to choose 5 pieces of candy to give to 5 children.

The formula for combinations is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, k is the number of items to choose, and ! means factorial. Factorial of a number n is the product of all positive integers up to n, so for example, 5! = 5 * 4 * 3 * 2 * 1 = 120.

So, using this formula, we can calculate the number of combinations of 15 items taken 5 at a time:

C(15,5) = 15! / (5! * (15-5)!) = 15! / (5! * 10!) = 15 * 14 * 13 * 12 * 11 / (5 * 4 * 3 * 2 * 1) = 3003.

So there are 3003 ways to distribute the 15 pieces of candy to 5 children, regardless of the order in which the children receive the candy.

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Answer: m=6

Step-by-step explanation:

\(9+12m=6+15\left(m-1\right)\)

\(6+15\left(m-1\right)=15m-9\)

\(9+12m=15m-9\)

subtract 9 on both sides

\(9+12m-9=15m-9-9\)

\(12m=15m-18\)

subtract 15m on both sides

\(12m-15m=15m-18-15m\)

\(-3m=-18\)

divide by -3 on both sides

\(\frac{-3m}{-3}=\frac{-18}{-3}\)

since \(\frac{-a}{-b}=\frac{a}{b}\)

\(\frac{-18}{-3}=6\)

\(m=6\)

The probability that 2 of 5 customers are vegetarian is 0.0981 or 9.81%.

The given case represents a binomial distribution. Binomial distribution refers to a discrete probability distribution that is characterized by two possible results (success or failure) and each trial has the same probability of attaining one particular value. It determines the probability of attaining a specified number of successful outcomes (x) in a specified number of trials (n).

P(x)\ =\frac{n!}{x!(n-x)!}\ast p^x\ast{(1-p)}^{n-x}

Where n is the total number of outcomes, x is the desired outcome, and p is the probability of success. In the given case, n = 5; x = 2; and p = 0.12.

P(x)\ =\frac{n!}{x!(n-x)!}\ast p^x\ast{(1-p)}^{n-x}

P(x)\ =\frac{5!}{2!(3)!}\ast0.12^2\ast{(1-0.12)}^{3}

P(x)\ =\frac{5*4*3!}{2*1(3)!}\ast{0.0144}\ast{0.6814}

P(x) = 0.0981 or 9.81%

Note: The question is incomplete. The complete question probably is: A manager at a Boston restaurant surveyed all her customers and found that 12% are vegetarian. If 5 of her customers in the restaurant one day, what is the probability that 2 of them are vegetarian?

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Answer:

A. : True hope this helps someone

Step-by-step explanation:

A tessellation could be created using parallelograms like the one shown below is true.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Tessellations can be created using a variety of shapes, including parallelograms.

A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps.

In a parallelogram tessellation, the parallelograms would fit together like puzzle pieces to fill the plane.

Thus,

A tessellation could be created using parallelograms like the one shown below is true.

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Answer:

1 : 0.75

Step-by-step explanation:

Given the ratio

20 : 15 ← divide both parts by 20

\(\frac{20}{20}\) : \(\frac{15}{20}\)

= 1 : 0.75

Answer:

n=0.75

Step-by-step explanation:

Answer: Can you tell me how do you want it answered?

Step-by-step explanation:

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

The function f, in the slope-intercept form is f= -3x+6.

The slope or gradient of the line is a numerical value used to describe a line's steepness and direction in mathematics. It was first used to describe slope in O'Brien's (1844) and Todhunter's (1888) versions of the equation for a straight line, which are both written as "y = mx + b" and "y = mx + c," respectively. The choice of the letter m for slope has no apparent justification.

Calculating slope involves comparing the "vertical change" to the "horizontal change" between any two points on a line, or any two points. The ratio, which provides the same number for each, is occasionally given as a quotient ("rise over run").

Here given,

For a linear function f,

f(2)=0 and f(4)=-6

So, from the given hint the points are (2, 0) and (4, -6)

Here slope m=(-6-0)/(4-2)

m=-6/2

m= -3

We know that the equation of the function in slope-intercept form is:

f=mx +c

By substituting the point (2, 0) and m= -3 in the function we get,

0= -3(2)+c

c=6

Now, by substituting m= -3 and c=6 in the function, we get

f= -3x+6

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y=2x-3 is the answer.

Note that y=2(x+3) is the same as y=2x+6, which has a slope of 2. Any parallel line must also have a slope of 2, so the answer must be either C or D. Since option D is the same line and will have points in common with the original line, the answer is C.

Answer:

Above 97.

Step-by-step explanation:

The average of something is the total values divided by the number of values added together so:

Step 1 - Add the four values together:

Let x be the unknown final exam grade

91 + 83 + 90 + 89 + x

353 + x

Step 2 - Find the average value:

\(\frac{353 + x}{5} = 90\)

Step 3 - Simplify by multiplying both sides by 5:

\(\frac{353 + x}{5} * 5 = 90 * 5\)

\(353 + x = 450\)

Step 4 - Isolate x:

\(353 + x = 450\)

x = 450 - 353

x = 97

So his grade must be above 97.

Hope this helps!

Answer:

23

Step-by-step explanation:

6×3+5(3-2)

6×3+5×1

18+5

23

Answer:

7 scarves

Step-by-step explanation:

you divide 28 by 4

The equation to find the number of overtime hours worked on the second day is 19.5x = 87.75.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Earning of Lynette for one hour when she works overtime = $19.50

She worked overtime twice this week.

One day she worked 3 hours of overtime.

Earning on first day = 3 × $19.50 = $58.50

Total earnings for overtime = $146.25

Earnings on second day = $146.25 - $58.50 = $87.75

Let x be the number of hours worked overtime.

19.5x = 87.75

x = 4.5

Hence the required equation is 19.5x = 87.75.

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Answer:

-3/2

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(-13-(-1)) / (10-2)

=-12/8

simplify

= -3/2

Answer:

the answer is 3/4 because 7/12 + 2/12 is 9/12 which simplified is 3/4

Step-by-step explanation:

Answer c

w = 81°, because 180 – (42 + 39) = 99 and 180 – 99 = 81

Step-by-step explanation:

The statement which true about the triangle is a) w = 99°, because 42 + 39 = 81 and 180 – 81 = 99.

A triangle is a shape consisting of 3 sides and 3 vertices (180º total) of a straight line. As early as 300 BC, Euclid had come up with the concept that the sum of three angles is 180°. This makes great contributions to the concept of shapes, such as finding the lengths of their sides and angles.

A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry with vertices A, B and C represented as triangle ABC.

In Euclidean geometry, every three points define a unique triangle and a unique plane (that is, two-dimensional Euclidean space) when they do not collide. In other words, only one plane contains its sides, and every triangle contains many faces. If the whole geometry is just Euclidean planes, there is only one plane and everything is contained within it; however, in high-dimensional Euclidean space, this is no longer true.

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(a) Therefore, according to these assumptions, the maximum number of users that could be served correctly is approximately 32. (b) Extra channels ≈ -53.58

(a) First, let's calculate the number of channels used by customers:

Channels used = Average number of customer calls per day * Average duration of a call

= (7 ch/day) * (3 min/ch)

= 21 min/day

Now, let's calculate the maximum number of channels available at the central:

Maximum available channels = 75 channels

Blocking probability = (Channels used - Maximum available channels) / Channels used * 100%

= (21 - 75) / 21 * 100%

= (-54) / 21 * 100%

≈ -257.14%

The calculated blocking probability is negative, which is not physically meaningful. This indicates that the number of channels provided (75) is insufficient to serve all possible users (2750). Therefore, not all users are being properly served by the central.

Maximum number of users = Maximum available channels * (Average duration of a call / Average number of customer calls per day)

= 75 * (3 min/ch / 7 ch/day)

≈ 32.14 users

Therefore, according to these assumptions, the maximum number of users that could be served correctly is approximately 32.

(b) To calculate the number of extra channels needed to serve all possible users with a 2% blocking probability, we need to find the number of channels that satisfy this probability. We can set up the following equation:

(Channels used - (Maximum available channels + Extra channels)) / Channels used * 100% = 2%

We can solve this equation for Extra channels:

(21 - (75 + Extra channels)) / 21 * 100% = 2%

Simplifying and solving for Extra channels:

(21 - 75 - Extra channels) / 21 = 0.02

-54 - Extra channels = 0.02 * 21

Extra channels ≈ -53.58

The calculated value of Extra channels is negative, which is not physically meaningful. It indicates that the number of available channels (75) is already more than sufficient to achieve a 2% blocking probability. Therefore, no extra channels are needed in this case.

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To show that angles are equal to each other using properties of equality, you can apply the following properties: Reflexive Property, Symmetric Property, Transitive Property, Substitution Property.

1. Reflexive Property: An angle is equal to itself. For example, ∠ABC = ∠ABC.

2. Symmetric Property: If ∠ABC = ∠DEF, then ∠DEF = ∠ABC. The order of the angles can be switched without changing their equality.

3. Transitive Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. If two angles are equal to a common angle, then they are equal to each other.

4. Substitution Property: If ∠ABC = ∠DEF and ∠DEF = ∠XYZ, then ∠ABC = ∠XYZ. You can substitute equal angles into other equations or properties.

By using these properties, you can establish the equality of angles by showing the necessary relationships between them.

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The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning."

This approach allows us to examine the various parts of a complex issue individually, facilitating a deeper understanding and easier solution finding.

Analytical reasoning involves dissecting a problem or argument into its constituent elements, identifying relationships between them, and evaluating their individual roles and contributions. By breaking down the problem, we can focus on each component separately, which can lead to clearer insights and more effective problem-solving strategies.

This method of analysis is commonly used across various disciplines, including mathematics, science, philosophy, and critical thinking. It helps us understand complex phenomena, solve intricate equations, and make informed decisions based on careful examination.

The benefits of breaking down a big argument or problem into smaller components are manifold. It helps to identify patterns, uncover hidden relationships, and clarify any ambiguities or misconceptions. By addressing each component individually, we can apply specific strategies or methods that are relevant to that particular element, making the problem more approachable and manageable.

Overall, The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning." It enables us to grasp intricate concepts, develop logical reasoning, and arrive at well-structured and comprehensive solutions.

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Some tools that Tim O'Brien uses as a writer to make the reader feel the immediacy and reality of war include vivid sensory details, first-person narration, fragmented structure,

blurring the lines between fiction and reality. He creates tension through suspenseful storytelling and exploring moral dilemmas.Tim O'Brien employs various literary techniques to immerse the reader in the immediate and realistic experiences of war. He often incorporates vivid sensory details, such as describing the sights, sounds, smells, and physical sensations of the battlefield. By engaging the reader's senses, O'Brien aims to evoke a visceral response, making the war feel vivid and tangible.Furthermore, O'Brien frequently utilizes first-person narration, allowing the reader to experience events through the eyes of the characters. This personal perspective enhances the immediacy and authenticity of the war narrative, enabling readers to emotionally connect with the characters' struggles and emotions.Another tool O'Brien employs is a fragmented narrative structure. He jumps between different moments in time, blurring the linearity of events. This technique reflects the fragmented and disorienting nature of war itself, immersing the reader in the chaos and confusion experienced by soldiers

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Answer: if you mean one quarter of $80, it’s equal to 20.

The original polynomial is x^3 - x^2 + 8x + 26.

The division of a polynomial by a linear factor (x + 4) can be reversed by multiplication:

f(x) = (x^2 - x + 8) * (x + 4) + (-6)

Expanding the product on the right-hand side, we get:

f(x) = x^3 - x^2 + 8x + 32 - 6

f(x) = x^3 - x^2 + 8x + 26

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The method of reduction of order is a technique used to find a second solution to a homogeneous linear differential equation when one solution is already known.

However, it cannot be directly used for nonhomogeneous linear differential equations. In nonhomogeneous equations, the method of undetermined coefficients or variation of parameters is typically used to find a particular solution.

Therefore, the statement "the method of reduction of order can also be used for the nonhomogeneous equation" is false. It is important to understand the different techniques for solving differential equations, and to choose the appropriate method based on the type of equation and boundary conditions given.

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Answer:

x = 4.3

Step-by-step explanation:

Lets solve!

1.2(x) = 5.16

Divide both sides by 1.2 to get

x = 4.3

Answer:x=4.3

Step-by-step explanation:

Step 1: Divide both sides by 1.2

1.2x/1.2=5.16/1.2

X=4.3

In the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

An experimental design known as a randomized block design divides the experimental units into units known as blocks.

The experimental units inside each block are assigned the treatments at random.

We have a fully randomized block design when each block has at least one instance of each treatment.

By ensuring that a crucial predictor of the outcome is fairly distributed amongst research groups to require them to be balanced, something that a completely randomized design cannot guarantee, a randomized block design differs from a completely randomized design.

Therefore, in the given situation (D) randomized block design was used to experiment with incorporating randomization into this study.

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Complete question:

R.A. Fisher, a famous statistician, describes a well-known design in his book, Design of Experiments. Five varieties of wheat were compared to determine which gave the highest yield in bushels per acre. Eight farms were available for planting. Each farm was divided into five plots. For each farm, the five varieties were randomly assigned to the five plots with one variety per plot. The varieties were planted on their assigned plots and their yields were measured and compared.

How was randomization incorporated into this study?

A. All five varieties were randomly assigned to the five plots at each farm.

B. The five varieties were randomly assigned to the eight farms - three varieties were planted twice and two varieties only once.

C. It was not incorporated. The wheat seeds were not randomly selected from the population of wheat seeds.

D. Experiment - randomized block design

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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