Find the missing value required to create a probability
distribution, then find the mean for the given probability
distribution. Round to the nearest hundredth.
x / P(x)
0 / 0.03
1 / 0.18
2 / 0.15
3

1. The official lines of authority. 2. The formal lines of communication. 3. The base level of the organization.

Organizational structure box-and-lines diagrams show at least three things:

1. The official lines of authority: These diagrams illustrate the formal hierarchy within an organization, indicating the chain of command and reporting relationships. The lines represent the flow of authority and communication, highlighting who reports to whom. For example, a manager may have multiple employees reporting to them, and those employees may further have their own subordinates.

2. The formal lines of communication: These diagrams also depict the formal channels through which information flows within the organization. They show how information is passed between different levels and departments. For instance, a diagram may show that information flows vertically from top management to lower-level employees or horizontally between departments.

3. The base level of the organization: These diagrams display the entry-level positions within the organizational structure. This helps to understand the foundational roles that exist and how they fit into the larger structure. For instance, the diagram may indicate positions such as interns, junior associates, or entry-level staff.

In summary, organizational structure box-and-lines diagrams provide a visual representation of the official lines of authority, the formal lines of communication, and the base level of the organization. These diagrams help individuals understand the hierarchy, communication flow, and entry-level positions within an organization.

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Answer:

c = 26 cm

Step-by-step explanation:

using the Pythagorean theorem:

10² + 24² = c²

c² = 100 + 576  = 676

c = 26 cm

Answer:

b

Step-by-step explanation: I have the answer key

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution

Answer:

x≤6

y≤5

x+y≤10

Step-by-step explanation:

Answer:

its a good photo I would miss him so much if it was true

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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The amount of money that terry receives is $600 .

Given :  larry is assigned to clean two-thirds of the classrooms in the school for $1,200

Also ,  terry joins him to complete the job

Since , each working at the same pace. They both will receive equal amount of money

Total amount of money to clean two-thirds of the classrooms in the school is $1,200

Amount of the $1,200 should terry receive

= Amount of the $1,200 should larry receive

= Total amount / 2 [Since , each working at the same pace. ]

= 1200 / 2 = $600

Hence , the amount of money that terry receives is $600 .

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Answer:

x=9

Step-by-step explanation:

You want to start by taking the problem step by step.

First subtract 6 from 51. Which will get you to 45. Then think what times what equals 45, or just divide 45 by 5. This works for any problem like this! Hope this helped!

Answer:

\( \bf \huge9\)

Step-by-step explanation:

⟼ 6 + 5x = 51

step 1 : Simplify both sides of the equation.

⟼ 5x + 6 = 51

step 2 : Subtract 6 from both sides.

⟼ 5x + 6 - 6 = 51 - 6

⟼ 5x = 45

step 3 : Divide both sides by 5

⟼ 5x / 5 = 45 / 5

⟼ x = 45 / 5

⟼ x = 9.

∴ x = 9.

lets take x = 9.

⟼ 6 + 5 (9) = 51

⟼ 6 + 5 × 9 = 51

⟼ 6 + 45 = 51

⟼ 51 = 51.

Answer:

yes you plug the numbers in

Answer:

9/35

Step-by-step explanation:

There are a total of 15 bulbs to choose from randomly. First a new bulb is chosen. Chance is 9/15 because 9 out of 15 are new.

Then there are only 14 bulbs left. Then a used bulb is chosen. Chance is 6/14 since 6 out of remaining 14 are used.

Total chance for this to happen is 9/15 * 6/14 = 54/210 = 9/35.

Answer:

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.

x = 29 is the value of x.

To find the value of x:

So,

Now, rounding to the nearest tenths gives x = 29.

Therefore, x = 29 is the value of x.

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The options A, C, E are correct. On the basis of the theory of the rotation and transformation on the parallelogram.

According to the statement

we have given that the

Parallelogram 1 is in quadrant 1 and sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0)

And we have to find that the which terms are corrected from the given options when Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2.

So, For this purpose we know that the

A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.

And According to the given statement

when parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2.

Then the conditions A, C, E are applicable because on rotation these things are applicable.

So, The options A, C, E are correct. On the basis of the theory of the rotation and transformation on the parallelogram.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Figure 2 was constructed using figure 1.

On a coordinate plane, 2 parallelograms are shown.

Parallelogram 1 is in quadrant 1 and sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0).

Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2.

For the transformation to be defined as a rotation, which statements must be true? Select three options.

A. The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

B. The transformation is rigid.

C. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

D.Segment CP is parallel to segment CP'.

E. If figure 1 is rotated 180° about point C, it will be mapped onto itself.

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Answer:

\(x\) = 8

Step-by-step explanation:

Area of triangle = 1/2 x base x height  (where the height is perpendicular - at a right angle - to the base)

For this triangle, base = 8, height = \(x\)

Therefore,  32 = 1/2 x 8 x \(x\)

                   32 = 4\(x\)

                     \(x\) = 8

The volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be  

V = 8π/3

When the integration is done in the three dimensions in the three coordinates x,y and z then we will call it as a volume integration.

I set y=2x = y=2 to find where the intersect each others so I can have my boundaries for integration.

You goal is to find the area so you can integrate around that area. We're revolving around the x-axis so the area will be a circle.

V = ∫A(x)dx =  ∫(πr²)dr

Since we have two different radius, we subtract them from each others.

∫(πr₂² - πr₁²)dr

∫(π(2)² - π(2x)²)dr

∫(4π - 4πx²)dr

4π∫(1 - x²)dr

integrate from 0 to 1 since that's where our boundary is.

V = 4π∫(1 - x²)dr = 8π/3

Hence the volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be V = 8π/3

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Answer:

D

Step-by-step explanation:

That is how you multiply properly

Answer:

I believe it would be D

Step-by-step explanation:

It would be the best way to split up the numbers to better answer the question

Step-by-step explanation:

that is really totally easy :

to get the value of the nth term, you just need to put the actual number instead of n in the calculation rule and calculate !

the 1st term :

3×1 + 2 = 3 + 2 = 5

the 2nd term :

3×2 + 2 = 6 + 2 = 8

the 3rd term :

3×3 + 2 = 9 + 2 = 11

the 10th term :

3×10 + 2 = 30 + 2 = 32

Answer:

\(Fraction = \frac{2}{15}\)

Step-by-step explanation:

Given

Wall = 30 inches

Concrete = 16 inches

Brick = 10 inches

Limestone = 4 inches

Required

Fraction of the wall that is limestone

The fraction of limestone is calculated as follows;

\(Fraction = \frac{Size\ of\ limestone}{Size\ of\ wall}\)

Substitute 4 for size of limestone and 30 for size of size of wall

The formula becomes

\(Fraction = \frac{4}{30}\)

Divide numerator and denominator by 2

\(Fraction = \frac{4/2}{30/2}\)

\(Fraction = \frac{2}{15}\)

The fraction can not be further simplified; hence, the fraction of limestone is \(\frac{2}{15}\)

Answer:

2/15

Step-by-step explanation:

Fractions can be found by dividing the part by the whole.

part/whole

In this problem, the part is the limestone portion of the wall and the whole is the total width of the wall.

limestone/total

16 inches are concrete, 10 inches are brick and 4 inches are limestone. The total width is 30 inches.

limestone = 4

total = 30

4/30

This fraction can be simplified. Both the numerator and denominator can be evenly divided by 2.

(4/2) / (30/2)

2/ (30/2)

2/15

This fraction cannot be simplified further, therefore it is our answer.

2/15 of the wall is limestone.

Answer:

x = 21/355

Step-by-step explanation:

. −56 = −14−710x

-56+14 = -14+14-710x

-42/-710 = -710x/-710

x = 21/355

Therefore x is 21/355

The distance from the center of the circle to the outer edge is called radius of the circle.

Circle is a segment of line connected to it itself. It is a 2 dimensional structure measuring 360°. The outer edge of the circle is called circumference. Now, an interesting fact about the circle is that circumference is equi distant from the radius.

Therefore, be it any point on the circumference, it will be at the same distance from radius. If the radius is further extended to meet the opposite side of circumference, it will become a diameter. The total length of diameter however decreases as we move from center to top of the circle.

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The expected payout of the game is calculated as E(X) = 164.68

This is the term that is used to refer to the likelihood of an event occurring.

We have to solve for the probability first

The probability of 0

= 1 - the sum of all of the values

= 1 - 0.151 + 0.029 + 0.0007

= 1 - 0.1807

= 0.8193

Next we have to solve for the expected payout

The formula is given as

∑pi * xi

= 0.151 * $180 + 0.029 * $1000 + 0.0007 * 155000 + 0 * 0.8193

= 27.18 + 29 + 108.5 +0

= $164.68

E(X) = 164.68

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In order to find the intercections of the line with x and y axis, you proceed as follow:

x - intercect:

equal the line equation to zero and solve for x:

y = -2x + 5

0 = -2x + 5

2x = 5

x = 5/2 = 2.5

y - intersect:

replace in the equation x=0 and calculate y:

y = -2(0) + 5

y = 0 + 5

y = 5

Hence, the intersections are x=5/2 and y=5 -> (5/2 , 5)

Next, you evaluate in the infinity, as follow:

x -> ∞ : y = 2(∞) + 5 = ∞, y-> ∞

That is, if x -> ∞, then also y->∞

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

One student, Kyle, hasn't taken his final exam yet, but his marks in the first five categories are 90, 79, 82, 70, and 85. This problem requires determining the weighted mean for Kyle before the final exam and comparing it to the unweighted mean.

To calculate the weighted mean for Kyle before the final exam, we need to multiply each category's mark by its corresponding weight, sum them up, and divide by the total weight. For Kyle, the weighted mean would be calculated as follows:

Weighted Mean = (Knowledge × 25% + Application × 20% + Thinking × 10% + Culminating Project × 15% + Final Exam × 15% + Communication × 15%) / (Total Weight)

However, since Kyle hasn't written his final exam yet, we can exclude the Final Exam mark and its weight from the calculation. The weighted mean would then be:

Weighted Mean = (90 × 25% + 79 × 20% + 82 × 10% + 70 × 15% + 85 × 15%) / (25% + 20% + 10% + 15% + 15%)

To find the difference between the weighted mean and the unweighted mean, we need to calculate the unweighted mean by simply taking the average of the marks in the first five categories:

Unweighted Mean = (90 + 79 + 82 + 70 + 85) / 5

By comparing the weighted mean and the unweighted mean, we can evaluate how much the inclusion of weights for different categories affects Kyle's overall mark.

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Answer:

1. is no its a dialation and 2. is yes

Step-by-step explanation:

The boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x^3 is given by the line segment from (0, 0) to (1, 1) and the curve y = x^3 in the interval [0, 1].

To find the boundary of the triangular region, we need to identify the points where the x-axis, the line x = 1, and the curve y = x^3 intersect in the first quadrant.

The x-axis: The x-axis is the line y = 0. Therefore, the point of intersection with the x-axis is (x, y) = (x, 0).

The line x = 1: This is a vertical line passing through x = 1. Therefore, the point of intersection with the line x = 1 is (x, y) = (1, y).

The curve y = x^3: This is a curve in the first quadrant defined by y = x^3. To find the intersection points with this curve, we equate y = x^3 and solve for x. This gives us x = y^(1/3).

Now, let's analyze the boundary of the triangular region in the first quadrant:

a) Starting point: (0, 0) - The boundary begins at the origin (0, 0).

b) Line segment: From (0, 0) to (1, 0) - This segment lies along the x-axis.

c) Curve segment: From (1, 0) to (1, 1) - This segment lies on the curve y = x^3 and corresponds to x = 1.

d) Final point: (1, 1) - The boundary ends at the point (1, 1).

In conclusion, the boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x^3 consists of the line segment from (0, 0) to (1, 0) along the x-axis, and the curve segment from (1, 0) to (1, 1) on the curve y = x^3.

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