This graph shows the number of Camaros sold by season in 2016. NUMBER OF CAMAROS SOLD SEASONALLY IN 2016 60,000 50,000 40,000 30,000 20,000 10,000 0 Winter Summer Fall Spring Season What type of data

Answer:

x = 11

Step-by-step explanation:

Convert decimals to integers: \(\frac{3x-21}{30} =0.4\)

Multiply both sides of the equation by the common denominator: \(\frac{(3x-21)*30}{30} =0.4*30\)

Reduce the fraction: \(3x-21=0.4*30\)

Calculate the product or quotient:  3x - 21 = 12

Rearrange unknown terms to the left side of the equation: 3x = 12 + 21

Calculate the sum or difference:  3x = 33

Divide both sides of the equation by the coefficient of variable: x = 33 ÷ 3

Calculate the product or quotient: x = 11

Answer:

x = 11

The transformation T preserves the answer: if G has a k-clique, then G' has a k-independent set, and vice versa.

a) **Problem Definition: K-Independent Set**

A k-independent set is a subset of vertices in a graph such that no two vertices in the set are adjacent (i.e., there is no edge connecting them). Formally, given an undirected graph G = (V, E), a k-independent set S is a subset of V where for every pair of vertices u and v in S, there is no edge (u, v) in E. The goal is to find the largest k-independent set in the given graph.

b) **Brute Force Method for Solving K-Clique**

The brute force method for solving the k-clique problem involves examining every possible subset of k vertices in the graph and checking if each subset forms a complete subgraph (clique) of size k. If the size of the graph is n and k is constant, then the number of possible subsets to examine is a polynomial function of n. Thus, the brute force method runs in polynomial time when k is constant.

However, when k=n/2, the brute force method becomes inefficient. The number of subsets of k vertices to examine becomes 2^n/2, which grows exponentially with the size of the input graph. This exponential growth makes the brute force method impractical for larger values of n.

c) **Transformation from K-Clique to K-Independent Set**

To transform an instance of the k-clique problem to the k-independent set problem, we define the following polynomial-time transformation T:

Given an instance of k-clique G = (V, E), construct a new graph G' = (V, E'), where E' consists of all the edges in G that are not in E. In other words, the edges in G' are complementary to the edges in G.

The transformation T is polynomial-time because constructing G' from G can be done in polynomial time since the size of E' is at most the size of E.

**Proving T is Polynomial-Time:**

The transformation T runs in polynomial time because constructing G' from G requires checking each edge in E, which can be done in polynomial time.

**Proving T is Answer-Preserving:**

Let C be a clique of size k in G. If we apply the transformation T to G and obtain G', then the vertices in C will not be adjacent in G', as they form a clique in G. Hence, C becomes a k-independent set in G'.

Conversely, if S is a k-independent set in G', then the vertices in S are not adjacent in G'. This means that there is no edge connecting any pair of vertices in S in G'. Thus, S forms a clique of size k in G.

Therefore, the transformation T preserves the answer: if G has a k-clique, then G' has a k-independent set, and vice versa.

In conclusion, the transformation T from k-clique to k-independent set is polynomial-time and answer-preserving.

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To find the equation of the tangent plane to the surface at the point (3, 8, 25), we need to find the partial derivatives of the function f(x, y) with respect to x and y at that point. Then, we can use these partial derivatives to find the equation of the tangent plane.

First, we find the partial derivatives of f(x, y) with respect to x and y:

fx(x, y) = 2x - 2y^2

fy(x, y) = -4xy

Next, we evaluate these partial derivatives at the point (3, 8):

fx(3, 8) = 2(3) - 2(8)^2 = -125

fy(3, 8) = -4(3)(8) = -96

So, the equation of the tangent plane to the surface at the point (3, 8, 25) is:

-125(x - 3) - 96(y - 8) + z - 25 = 0

Simplifying, we get:

-125x + 375 - 96y + 768 + z - 25 = 0

-125x - 96y + z + 1118 = 0

Therefore, the equation of the tangent plane to the surface at the point (3, 8, 25) is -125x - 96y + z + 1118 = 0.

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When testing the differences between means, the research hypothesis suggests that population means are not equal.  (Option B)

Hypothesis refers to a concept or explanation for a trend that is based on known facts but has not yet been proved. A research hypothesis, also known as scientific hypothesis, is a statement about the expected result of a study. It is the proposed answer to the research question and generally includes an explanation (e.g., x affect y because …). It introduces a research question and proposes an expected result. It illustrates the relationship between two variables - an independent and dependent variable. Hence, when testing the difference between means, the hypothesis that suggests that population means are not equal is a research hypothesis.

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Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

Mai has less variability as compared to that of Priya

Step-by-step explanation:

IQR is the Inter quartile range and is the difference between upper and lower quartiles. It measures the variability as in terms it depicts the middle 50% of values when the values are arranged in ascending order

In case of Priya's median score was 118, and her IQR was 15. IQR = 15 means that there is a difference of 15 between the upper and lower quartiles

While in case of Mai, the IQR is 5 only.

Hence, Mai has less variability as compared to that of Priya

Answer:

Opposite angles are equal, all add to 360:

10x-7=83

10x=90

X=9

Z = (360-(83*2))

Z = 97

Answer:

number 1 is x=5. 2 is 0.8.

Answer:

isiiqywyysyu the first one the first time in a even if it well y eh I just saw your message garako thiya na na hey I k h I just got home from a ko xa ki xaina the morning to get well soon dd ko we

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

Answer triangle

Step-by-step explanation:

if the 20% of a number is 386, what will be 30% of the same number

Answer will be 157

If 20% of a number is 386,  30% of the same number is 579

Let the number be x.

So,we have:

20% * x = 386

Express 20% as 0.20

0.20 * x = 386

Divide both sides by 0.20

x = 1930

30% of the number is represented as:

30% * 1930

Evaluate the product

30% * 1930 = 579

Hence, 30% of the same number is 579

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Answer:

yes because it is odd

Step-by-step explanation:

Answer:

7 is a rational number. Rational numbers are numbers that result when two integers are divided. For example, two integers whose quotient is equal to 7 are 14 and 2. When you divide 14 by 2, the result is 7, and this validates 7 as a rational number.

Answer:

E) 99%

Step-by-step explanation:

So assuming there is no other grades and these tests average out to 100% of Maya's grade

With a current grade of 87% and a final weight of 25% (1/4 tests) she will need to score a 99% on her final to get a 90% for her average.

Answer:

Question 1: A - 5,400sqft

Question 2: 11 bags of fertilizer

Step-by-step explanation:

Question 1: You need the areas of the white squares added together and then subtracted from the total area of the park.

Question 2: To find the number of bags needed to fertilize the grass we simply divide the area one bag can fertilize by the shaded area. We could use a basic equation such as:

In this equation x represents the number of bags needed to fertilize the shaded area. The answer is 10.8, but logically speaking you cannot buy .8 of a bag so you just round up to 11.

The diagram where angles 1 and 2 form a linear pair is option D which is that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

Given that angle 1 and 2 form a linear pair.

We know that a linear pair is an angle that are formed when two lines intersect each other at a single point.

In our case when a horizontal line has 1 line extending from it and when angles 1 and 2 are formed shows a linear pair.

In first part when two lines intersect they donot form 4 angles.

In second part when 3 lines extend from a point they don't form right angle between the lines.

Hence the linear pair angles are shown by the statement that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

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Answer:

4,785.3

Step-by-step explanation:

531.7 x 9

= 4,785.3

Answer:

A. (x – 2)(x + 5)(x – 3) on edg

Step-by-step explanation:

Took the test

When a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial. The factors of x³-5x+6 are (x+5)(x-2)(x-3).

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.

Since f(–5) = 0, therefore, (x+5) is a factor of the polynomial f(x).

\(\dfrac{x^3-19x+30}{x+5} = x^2-5x+6\)

Now, x² -5x + 6 can be factorised as,

x² - 5x + 6

x² - 2x - 3x + 6

x(x-2) -3 (x-2)

(x-2)(x-3)

Hence, the factors of x³-5x+6 are (x+5)(x-2)(x-3).

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The correct example of choosing a random sample from the target population of 100 students, where 40 are boys and 60 are girls, is option C.

Option C states that the group is separated into groups of boys and girls, and then 5 boys and 5 girls are randomly chosen from each group. This method ensures that both boys and girls are represented in the sample, and the random selection process helps to reduce bias.

Option A, choosing every other person on an alphabetical list of names, may introduce bias if the names are not randomly ordered or if there is any pattern to the list.

Option B, separating the group into groups of boys and girls and randomly choosing 5 boys and 5 girls from each group, is the correct method described in option C.

Option D, tossing a number cube for each name on the list and choosing those names that correspond to a 2, 4, or 6, does not guarantee a representative sample, as it introduces randomness based on the outcome of the number cube toss.

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Here we can use given cost function C(x) = 30,000 + 10x + 50,000/x. By calculating the difference in total cost when x increases by h units and dividing it by h, we can determine average rate of change of total cost.

The given cost function is C(x) = 30,000 + 10x + 50,000/x, where x represents the production level. To find the average cost we can calculate the difference in total cost when x increases by h units and divide it by h.

For h = 10, the average rate of change of the total cost would be (C(x+h) - C(x))/h. Plugging in the values, we get (C(x+10) - C(x))/10 = [30,000 + 10(x+10) + 50,000/(x+10) - (30,000 + 10x + 50,000/x)]/10.

For h = 1, we can similarly calculate (C(x+1) - C(x))/1 = [30,000 + 10(x+1) + 50,000/(x+1) - (30,000 + 10x + 50,000/x)]/1.

To estimate the instantaneous rate of change of the total cost at a specific production level, such as x = 100, we can take the derivative of the cost function C(x) with respect to x. . For example, to find C'(100), we would differentiate C(x) = 30,000 + 10x + 50,000/x with respect to x and evaluate it at x = 100.

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Answer:

15.6 ft²

Step-by-step explanation:

Given:

Radius (r) of circle = 5.7 ft

m<CBD = 55°

Required: Area of the shaded sector

SOLUTION:

Area of shaded sector = θ/360*πr²

Where,

θ = 55°

π = 3.14

r = 5.7 ft

Plug in your values

\( Area = \frac{55}{360}*3.14*5.7^2 \)

\( Area = \frac{55}{360}*3.14*32.49 \)

\( Area = 15.59 \)

Area of shaded sector to nearest tenth = 15.6 ft²

Answer:

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Step-by-step explanation:

u suck balls

Answer:

55m²

Step-by-step explanation:

So for the two small triangles, I did 10x3 =30  and divided by 2 to get 15

For the two big triangles, did 10x8 and got 80/2 =40

To find area of a triangle, it's: base x height, then divided by 2.

(Yes that's not a kite, but I cut it in half)

5 x n = -95

Divide both sides by 5:

N = -95/5

N = -19

The answer is -19

The sets can either be presented in set builder form or roaster form. The

given sets presented in the required form are;

a. The set B is the set of days in the week that starts with letter S

Therefore;

The elements of B are; Saturday, Sunday

In roster method, we have; B = {Saturday, Sunday}

In set builder notation, we have; B = {x | x is a days in the week that starts with letter S}

b. C is the set of letters in PHILIPPINES

In roster form, we have; C = {P, H, I, L, I, P, P, I, N, E, S}

In set builder notation, we have; C = {Letters in the word PHILLIPINES}

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Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

There are three zeros indicated by the values in the table that represent the graph of a continuous function.

By observing the table, we can see that the y-values change sign three times from positive to negative or vice versa. Each sign change corresponds to a zero of the function. In this case, the function has three zeros based on the given table.

In the table provided, the x-values are paired with their corresponding y-values, representing points on the graph of a continuous function. To determine the number of zeros, we need to identify the points where the y-values change sign.

From the table, we can see that the y-values change sign three times: at x = -3, x = -1.2, and x = 1.2. Each of these points corresponds to a zero of the function. Therefore, the function represented by the table has three zeros.

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The triangle DEF's section EF measures 24 units in length.

As per the data given in the above question are as bellow,

The provided details are as follow,

Procedure: Calculating the length that results from distorting a triangle by a scale factor

The triangle mentioned in the previous sentence is summarised in the diagram below. Using a trigonometric relationship, we discover that the following formula best describes the length of the section EF:

\($\sin a^{\circ}=\frac{E F}{D E}$\)

If we know that DE=30 and \($\sin a^{\circ}=\frac{4}{5}$\), then the length of the segment EF is:

\(E F=D E \cdot \sin a^{\circ} \\& E F=30 \cdot\left(\frac{4}{5}\right) \\\)

EF=24

Sine (sin), cosine (cos), and tangent (tan), which are defined in terms of the ratios of the sides of a right triangle, are the fundamental trigonometric functions.

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Note: The correct question would be as bellow,

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units