GIVING BRAINLIST SO HURRY!!!!
What is the median of the data set represented by the dot plot?

The values of the variables in the angles and measures of the side lengths of the quadrilaterals can be found using the properties of the quadrilaterals

8. z = 20

9. x = 18°

10. y = 12°

11. AB = 11

12. a = 10

13. b = 8

14. c = 18

15. d = 4

16. w = 6

17. x = 2

18. y = 31

19. z = 20

A quadrilateral is a four sided polygon.

8. The quadrilateral ABCD is a parallelogram, therefore;

The opposite sides have the same lengths;

z - 3 - 17

z = 17 + 3 = 20

z = 20

9. 4·x° and 108° are same side interior angles, therefore;

4·x° + 108° = 180°

4·x° = 180° - 108° = 72°

x = 72°/4 = 18°

x = 18°

10. 6·y° and 9·y° are same side interior angles, therefore;

6·y° + 9·y° = 15·y° = 180°

y = 180°/15 = 12°

y = 12°

11. The segment AB is congruent to segment CD, by the properties of a parallelogram

CD = 11

Therefore;

AB = CD (definition of congruency)

AB = CD = 11

AB = 11

12. The quadrilateral WPBH is a rectangle, therefore;

WH ≅ PB (properties of a rectangle)

WH = PB (definition of congruency)

WH = 12

PB = 2·a - 8

Therefore;

2·a - 8 = 12 (substitution property of equality)

2·a = 8 + 12 = 20

a = 20 ÷ 2 = 10

a = 10

13. The diagonals of a quadrilateral bisect each other;

The diagonals of a rectangle have the same length

Therefore;

WA = AH

WA = 16

AH = 2·b

Therefore b = 16/2 = 8

b = 8

14. 3·c° + 2·c° = 90°

5·c° = 90°

c = 90°/5 = 18

c = 18

15. WA = AP

Therefore;

4·d = 16

d = 16/4 = 4

d = 4

16. The quadrilateral is a square;

The length of the sides of a square are congruent, therefore;

20 = 3·w + 2

3·w = 20 - 2 = 18

w = 18/3 = 6

w = 6

17. The diagonals of a square bisect the interior angles, therefore;

22·x + 1°  = 90°/2 = 45°

x = (45 - 1)°/22 = 2

x = 2

18. y - 11 = 20

Therefore;

y = 20 + 11 = 31

y = 31

19. The diagonals of a square are perpendicular to each other, therefore;

5·z - 10° = 90°

5·z = 90° + 10° = 100°

z = 100°/5 = 20°

z = 20°

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Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer:

only y= 8x-6

Step-by-step explanation:

in order know of an equation is linear is if the equation when graphed makes a straight line the equation should be in the format y=mx+b or y=mx if it is a proportional relationship.

"If ""first"" is a pointer to a linked list, then it stores the memory address of the first node in the linked list

In a linked list, each node stores data and a reference (or pointer) to the next node in the list. The first node in the list is called the head or the first element, and the last node is called the tail or the last element. The ""first"" pointer points to the memory address of the head node in the linked list, which is the first element that we can access in the list.

Using the ""first"" pointer, we can traverse the linked list by following the references to the next nodes, until we reach the end of the list (which is indicated by a null reference).

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Answer:

2.9 (2.85)

Step-by-step explanation:

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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The total number of acres planted for the optimal solution is not provided in the given information.

The amount of fertilizer (in tons) required to produce only corn is not provided in the given information.

The peak number of acres of wheat planted as fertilizer availability varies from 200 tons to 2200 tons in 100-ton increments cannot be determined without additional information.

I can help explain the general approach to answering the questions you mentioned.

To determine the total number of acres planted for the optimal solution, you would need to refer to the problem's constraints and objective function. The optimal solution would be obtained by solving the problem using linear programming techniques such as the simplex method or graphical method. By solving the problem, you can identify the values of the decision variables (such as acres planted) that maximize or minimize the objective function while satisfying the given constraints. The total number of acres planted for the optimal solution would depend on the specific problem setup and the solution obtained.

Similarly, to find out how much fertilizer would be needed to produce only corn, you would need to refer to the constraints and objective function of the problem. The specific requirements and coefficients associated with the corn production and fertilizer usage would determine the amount of fertilizer needed. By solving the problem, you can obtain the value of the decision variable representing fertilizer usage, which would indicate the required amount of fertilizer in tons.

SolverTable is a tool in Excel that allows you to perform sensitivity analysis by varying certain input values and observing the impact on the output. By using SolverTable, you can analyze the relationship between fertilizer availability (input) and acres planted (output) in the given problem. By varying the fertilizer availability from 200 tons to 2200 tons in 100-ton increments, you can observe how the acres of wheat planted change accordingly. The peak number of acres of wheat planted would be the maximum value observed during this range of fertilizer availability.

Since I don't have access to the specific problem you mentioned, I cannot provide precise answers or calculations. Please refer to the problem in your textbook or reference material to obtain the exact values and final answers.

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Answer:

275.04

Step-by-step explanation:

76.4 x 3.6 = 275.04

Answer:

266\(\frac{2}{3}\)

Step-by-step explanation:

if a 45 minute workout is 1000 calories, at the same rate, a 12 minute workout would be 266 calories and 2 thirds. \(\frac{12}{45}\) x 1000 = 266\(\frac{2}{3}\)

Answer:

f⁻¹(x) = (x+1)/2

Step-by-step explanation:

Given the function f(x) = 2x - 1, we are to find its inverse;

Let y = f(x)

y = 2x - 1

Replace y with x

x = 2y - 1

Make y the subject of the formula

2y = x + 1

Divide both sides by 2

2y/2 = (x+1)/2

y = (x+1)/2

Replace y with f⁻¹(x)

f⁻¹(x) = (x+1)/2

Hence the required inverse is (x+1)/2

Since we are interested in determining the most preferred floor plan among apartments with the same square footage, the mode will provide us with this. By identifying the floor plan that appears most frequently, we can conclude that it is the preferred choice among the residents.

In the given scenario, where we are examining the preferred floor plan of apartments with the same square footage, the most suitable measure of center would be the mode. The mode represents the value or category that occurs with the highest frequency in a dataset.

The mean and median are measures of central tendency primarily used for numerical data, where we can perform mathematical operations. In this case, the floor plan preference is a categorical variable, lacking any inherent numerical value.

Consequently, it wouldn't be appropriate to calculate the mean or median in this context.

By focusing on the mode, we are able to ascertain the floor plan that is most commonly preferred, allowing us to make informed decisions regarding apartment layouts and accommodate residents' preferences effectively.

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Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

Step-by-step explanation:

nilgshgkmhgmjhsbhjh

Answer: G=62, I = 62, H =54

Step-by-step explanation:

3x+26=4x+14

x=12

G=36+26 = 62

180-62-62=54

Answer:

porky-pine

Step-by-step explanation:

f68viyv7tx57d7rz47ze6z6exurxtuxruxr6xr7xrxe5z6exticrxr6xr6x

First, do the prime factorization.

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The GCF is the product of their shared factors.

They share 2, 2, 2, and 3.

2 x 2 x 2 x 3 = 24.

Their GCF is 24.

The greatest common factor of the given numbers 96 and 72 will be equal to 24.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given number for GCF in the question,

Firstly, factorize the given numbers,

96 = 2 x 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

The result of their shared factors is the GCF.

2 x 2 x 2 x 3 = 24.

Therefore, the GCF is 24.

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Answer:

i think the answer is 7.20

Step-by-step explanation:

Answer:

It's 7.20

Step-by-step explanation:

4.5/how many batteries sold at that amount

4.50/5

=0.9

8 batteries =6.30+0.90

=7.20

Answer:

x = w + 2

General Formulas and Concepts:

Order of Operations: BPEMDAS

Distributive Property

Step-by-step explanation:

Step 1: Write equation

6(2x - 4) = 12w

Step 2: Solve for x

The surface area of the hemispherical vessel is 715.92 square centimeter and the cost to paint is Rs. 3579.62.

An object's surface area is the total area that all of its surfaces occupy. Different 3D shapes in geometry have various surface areas. There are two groups for the surface area:

Surface area of the lateral Surface that is curved Surface area overall.

Given that the external diameter of the hemispherical vessel is 16cm, hence the radius is 8cm.

The internal diameter of the hemispherical vessel is 12cm, hence the radius is 6cm.

The total surface area of the vessel is given by the following formula:

\(SA= 2\pi R^2 + 2\pi r^2 + \pi (R^2 - r^2)\\\\SA= 2(3.14)(8)^2 + 2(3.14)(6)^2 + (3.14)(8^2 - 6^2)\\\\SA= 401.92 + 226.08 + 87.92\\\\SA= 715.92\)

The total surface area of the vessel is 715.92 square centimeters.

The cost to paint 1 square centimeter is Rs. 5, hence the cost to paint 715.92 square centimeters is:

C = (715.92)(5)

C = 3579.6

Hence, the cost to paint 715.92 square centimeters is Rs. 3579.62.

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a) The probability that a single student randomly chosen from all those taking the test scores 23 or higher is 0.3557

b) The probability that the mean score x of these students is 23 or higher is 0.0043

What is Probability?

Probability is synonymous with possibility. It is a mathematical branch that deals with the occurrence of a random event.

Given that ,

mean = \mu = 21.1

standard deviation = \sigma = 5.1

a) P(x ≥ 23 ) = 1 - P(x ≤ 23)

= 1 - P[(x - \mu) / \sigma ≤ (23-21.1) /5.1 ]

= 1 - P(z ≤ 0.37)

= 1 - 0.6443 = 0.3557

Probability= 0.3557

b) n = 50

mu\bar x = \mu = 21.1

σbar x = σ / \\(\sqrt{n}\) = 5.1/ \\(\sqrt{50}\) = 0.7212

P(\bar x ≥ 23) = 1 - P(\bar x ≤ 23 )

= 1 - P[(\bar x - \mu\bar x ) / \sigma\bar x ≤ (23 - 21.1) / 0.7212 ]

= 1 - P(z ≤ 2.63)

= 1 - 0.9957 = 0.0043

Probability = 0.0043

a) The chance of a single student picked at random from all those taking the test scoring 23 or higher is 0.3557.

b) The chance that the mean x of these students is 23 or greater is 0.0043.

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The characteristic of "Mailing Address" would be considered a qualitative variable.

A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".

Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.

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the value of P(A∩B) in terms of x and y is xy.

The correct option is D. xy.

To determine the value of P(A∩B) in terms of x and y, we can use the definition of conditional probability and the fact that P(A∩B) = P(A|B) * P(B).

Given that P(A|B) = x and P(B) = y, we can substitute these values into the equation:

P(A∩B) = P(A|B) * P(B)

        = x * y

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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Answer:

C

Step-by-step explanation:

using

x × y = \(\sqrt{x^2+y^2}\) , then

2 × 4\(\sqrt{2}\)

= \(\sqrt{2^2+(4\sqrt{2})^2 }\)

= \(\sqrt{4+32}\)

= \(\sqrt{36}\)

= 6

\(\textsf {Applying this formula :}\)

\(\mathsf {(x) \times (y) =\sqrt{x^{2} + y^{2}}}\)

\(\textsf {Now take :}\)

\(\mathsf {x = 2}\\\mathsf {y = 4\sqrt{2}}\)

\(\mathsf {Solving :}\)

\(\implies \mathsf {\sqrt{(2)^{2} + (4\sqrt{2})^{2}}}\)

\(\implies \mathsf {\sqrt{4 + 32}}\)

\(\implies \mathsf {6}\)

Answer:

1,425 miles

Step-by-step explanation:

To find out how much farther it is from Atlanta to Boise than from Atlanta to Houston, we need to subtract the distance from Atlanta to Houston from the distance from Atlanta to Boise:

\(\sf:\implies 2,214\: miles - 789\: miles = \boxed{\bold{\:\:1,425\: miles\:\:}}\:\:\:\green{\checkmark}\)

Therefore, it is 1,425 miles farther from Atlanta to Boise than from Atlanta to Houston.

Answer:

$31.99

Step-by-step explanation:

20 : 100 = x : 39.99

x = 39.99 * 20 / 100

x = 39.99 * 0.2 = 7.998

final price

39.99 - 7.998 = $31.992