guys what is this.......

The linear equation that has a slope-angle of 150° and goes through (4,0) is given by:

y = -0.577x + 2.308.

A linear function is modeled by:

y = mx + b

In which:

The line has a slope-angle of 150°, hence the slope is:

m = tan(150º) = -0.577.

Hence:

y = -0.577x + b.

It goes through (4,0), hence:

0 = -0.577 x 4 + b

b = 2.308.

Hence the equation is:

y = -0.577x + 2.308.

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For the significance test given, the error will be a type one error.

The results of tests for statistical significance show whether apparent variations in assessment results are the product of random variation or sampling mistake. The given parts can be answered as -

a) The analysis of the given question was conducted with a likelihood of .05 for a type one error. This is because the level of significance for it is .05 as well. Therefore, such a situation implies that regardless of whether the null hypothesis is correct and accurate there is still a five percent chance that it will be incorrect or will be rejected.

b) The probability that a representative sample will be equally extreme or more intense than the one that was correctly predicted is known as the p-value when the null hypothesis is true. In this case, the p-value is only .03 and drops below the .05 criterion of significance. This reveals that the generic parameter-supported null thesis is categorically rejected. This study would thus, further result in the rejection of the null hypothesis.

c) A decision error from the test could be either a Type I error or a Type II error. While a Type II error happens when the null hypothesis is true but not rejected, a Type I error happens when the opposite is true. Since the null hypothesis was true but was rejected by chance in this situation, any judgement error that the test produced would be of the Type I variety.

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Answer:

3 Batteries will be left

Step-by-step explanation:

1,311/6=218.5

218 rooms get batteries

218*6=1,308

1,311-1,308=3

The correct option is B) N is the midpoint of line segment JL. and M is the midpoint of line segment KJ. and MN = KL/2.

Triangle JKL is given below By definition, a midpoint of a line segment is a point that divides the line segment into two equal parts.

This means that the line segment between the midpoint and each endpoint of the line segment are of the same length.

So, the following statements are true:

N is the midpoint of line segment JL.M is the midpoint of line segment KJ.

Both M and N divide their respective line segments into two equal parts.

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Answer: f(x) = 7x^5 -x^3 + 7

Step-by-step explanation:

Fifth degree indicates that the highest power in the problem should be five. The leading coefficient of 7 means that the X^5 component should be multiplied by 7. Finally, “trinomial” means that there should be three terms in the equation, what those three terms are doesn’t really matter.

Answer: You are missing 31 bottles

Step-by-step explanation:

200 - 169 = 31

BRAINLIEST?!

Answer:

Oki! So the answer is 27

Step-by-step explanation:

200 - 169 = 31

BUTTT you took 4 so

31 - 4 = 27

Answer:

brandon paid $35 more than retail value.

Answer:

Dirty 5 more than retail value

The correct option for the demand requirement constraint in a production scheduling LP is option (c): beginning inventory + production - ending inventory = demand.

In a production scheduling LP, the demand requirement constraint represents the balance between the available inventory and the demand for the product. The constraint ensures that the production and inventory levels are sufficient to meet the specified demand.

Option (c) represents this relationship accurately by stating that the beginning inventory, production, and ending inventory, when subtracted from each other, should equal the demand. This equation reflects the concept of maintaining a balance between the production output and inventory changes to meet the demand

Option (a) is incorrect because it uses the greater than or equal to (≥) symbol, which does not accurately represent the constraint.

Option (b) is also incorrect because it uses the equality (=) symbol, which implies an exact balance between the inventory and demand, disregarding the changes in inventory.

Option (d) is incorrect because it uses the greater than or equal to (≥) symbol, which does not accurately represent the constraint.

Therefore, option (c) is the correct representation of the demand requirement constraint in a production scheduling LP.

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the probability that a randomly chosen point is in the black region is: 17/36 ≈ 0.472 or about 47.2%

To find the probability that a randomly chosen point is in the black region, we need to divide the number of black squares by the total number of squares in the grid.

Counting the number of black squares, we see that there are 17.

Counting the total number of squares in the grid, we see that there are 36.

Therefore, the probability that a randomly chosen point is in the black region is: 17/36 ≈ 0.472 or about 47.2%

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1. The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The Probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

1. The outcomes in the sample space of choosing a letter from the word THANKS are: T, H, A, N, K, S.

  The outcomes in the sample space of choosing a letter from the word STARK are: S, T, A, R, K.

2. To find the number of outcomes in the sample space, we multiply the number of outcomes for each word.

  Number of outcomes in the sample space = Number of outcomes for the first word × Number of outcomes for the second word

  Number of outcomes in the sample space = 6 (from THANKS) × 5 (from STARK) = 30.

3. The probability of choosing the letters AA would be the number of favorable outcomes (which is 0 in this case) divided by the total number of outcomes in the sample space.

  Probability of choosing AA = Number of favorable outcomes / Total number of outcomes

  Probability of choosing AA = 0 / 30 = 0.

Therefore, the probability of choosing the letters AA is 0, as there are no occurrences of the letter A in both words together.

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Answer:

Not a factor; r = 12

Step-by-step explanation:

By dividing this binomial factor of x-3 by the polynomial we can determine whether it is a factor. If the answer has no remainder, we know that it is a factor.

\(\frac{x-3}{2x^3-4x^2-6}\)

Lol pretend that is switched, I messed up.

I used long division to determine the answer. When you do it, don't forget to add a '0x' in between the 2nd and 3rd terms, so that it lines up correctly.

The answer i got was 2x^2 + 2x + 6 with a remainder of 12. This means that x-3 is not a factor and the remainder is 12.

~~~~~~~~~~~~~~~~~~~

Have a nice day, fam. Remember, you're never alone. Someone will always be there for you.

There (x - 3) is not the factor of polynomial  2x³ - 4x² - 6  as per the remainder theorem, and the remainder would be 12.

The polynomial is below which is given in the question,

2x³ - 4x² - 6

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

Let  p(x) = 2x³ - 4x² - 6  ...(i)

Divisor = x - 3

Apply remainder theorem,

x - 3 = 0

x = 3

Substitute the value of x=3 in the equation (i),

⇒ p(3) = 2(3)³ - 4(3)² - 6

⇒ p(3) = 2(27) - 4(9) - 6

⇒ p(3) = 54 - 36 - 6

⇒ p(3) = 2(27) - 4(9) - 6

⇒ p(3) = 12

As per the remainder theorem, (x - 3) is not the factor of 2x³ - 4x² - 6.

Therefore, the remainder would be 12.

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Answer:

A sample is a subset of the population.

By using the Taylor series expansion for cosine function, we can find the first four nonzero terms of an infinite series that is equal to cos(2). The expansion involves terms up to the fourth degree power of 2.

The Taylor series expansion for the cosine function is given by:

cos(x) = 1 - (x^2)/2! + (x^4)/4! - (x^6)/6! + ...

To find the first four nonzero terms of an infinite series that is equal to cos(2), we substitute x = 2 into the expansion:

cos(2) = 1 - (2^2)/2! + (2^4)/4! - (2^6)/6! + ...

Step 1: Calculate the values of the terms:

The first term is 1.

The second term is (2^2)/2! = 4/2 = 2.

The third term is (2^4)/4! = 16/24 = 2/3.

The fourth term is (2^6)/6! = 64/720 = 2/45.

Step 2: Write the series using the calculated terms:

cos(2) = 1 - 2 + 2/3 - 2/45 + ...

Therefore, the first four nonzero terms of the infinite series that is equal to cos(2) are 1, -2, 2/3, and -2/45 + ...

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Answer:

The cost of 1 scarf is $12.25 each.

Step-by-step explanation:

Yes, The triangles are congruent by SSS i,e option(D)

When two corresponding sides and the angle included between them of one triangle match those of two corresponding sides and the angle included between them of another triangle, the two triangles are said to be congruent. Two triangles are said to be congruent if their three sides and three angles, in any orientation, are equal.

By applying the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, the two sides of the triangle in issue are made equal, hence making the third sides equal.

Therefore, we can say the triangles are congruent by SSS i,e option(D)

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Answer:

38

Step-by-step explanation:

The n th term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 5 - 2 = 3 , thus

\(a_{13}\) = 2 + (12 × 3) = 2 + 36 = 38

The particle travels a total distance of 120 feet between time 0 and time 10.

This particle is moving along a straight line, and its position at any time t is given by the formula s(t) = 2t^3 - 18t^2 + 30t, where s is measured in feet and t is measured in seconds.

Velocity  v(t) = 6t^2 - 36t + 30.

Total distance traveled by the particle between time 0 and time 10, integrate the absolute value of the velocity function from t = 0 to t = 10.

The integral of |v(t)| from t = 0 to t = 10 is given by:

∫|v(t)|dt from 0 to 10

= ∫√(v(t)^2)dt from 0 to 10

= ∫√((6t^2 - 36t + 30)^2)dt from 0 to 10

= 120 feet

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To sketch the region enclosed by the curves y = sin(x) and y = 5x, we plot the curves and find the bounds of the region. We integrate with respect to x to find the area of the region.

To sketch the region enclosed by the given curves, we first plot the curves y = sin(x) and y = 5x on a coordinate plane.

The curves intersect at two points: (0,0) and (π/6,π/3). The x-coordinates of the bounds of the region are x = 0 and x = π/6. The y-coordinate of the lower bound of the region is y = 0, and the upper bound of the region is y = 5x.

Since the region is bounded by the curves y = sin(x) and y = 5x, we can integrate with respect to x or y. However, since the region is easier to describe in terms of x, we will integrate with respect to x.

A typical approximating rectangle for the region is shown below:

To set up the integral for finding the area of the region, we need to determine the limits of integration. We integrate from x = 0 to x = π/6, and the integrand is given by the difference between the upper and lower bounds of the region:

Area = ∫₀^π/6 (5x - sin(x)) dx

We can evaluate this integral using integration techniques such as integration by parts or numerical methods such as Simpson's rule.

Overall, the region enclosed by the given curves is a triangular region, and we can integrate with respect to x to find its area.

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Answer:

0.1

Step-by-step explanation:

Given: The spinner lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times. when it is spun 20 times.

To find: experimental probability of landing on yellow

Solution:

Probability refers to chances of occurring of some event.

Probability = number of favourable outcomes total number of outcomes

As the spinner lands on yellow 2 times,

number of favourable outcomes = 2

Total number of outcomes = 20

Probability = 2/20 = 1/10 =0.1

To compare the values \(\(\frac{1}{3}\), \(\ln 1.5\)\), and \(\(\frac{5}{12}\)\), we can use the concept of areas. However, the provided sequence, 64, 112, 196, 343, does not give enough information to determine the common ratio.

(a) To compare the values \(\(\frac{1}{3}\), \(\ln 1.5\), and \(\frac{5}{12}\)\), we can utilize the concept of areas. We start by considering the area under the curve of the function \(\(y = \frac{1}{x}\) between \(x = 1\) and \(x = 1.5\)\). The area of this region represents \(\ln 1.5\). Similarly, we divide the area under the curve of \(\(y = \frac{1}{x}\) between \(x = 1\) and \(x = 2\)\) into three equal regions. The middle region represents \(\frac{1}{3}\), and the rightmost region represents \(\(\frac{5}{12}\)\). By comparing the areas visually or using calculus, we can confirm that \(\(\frac{1}{3} \ < \ \ln 1.5 \ < \ \frac{5}{12}\)\).

However, the second part of the question, regarding finding the common ratio in the sequence 64, 112, 196, 343, cannot be answered with the given information. A geometric sequence follows the pattern where each term is obtained by multiplying the previous term by a constant value called the common ratio. Without knowing the pattern or additional terms of the sequence, we cannot determine the common ratio. Therefore, we cannot provide a value rounded to the nearest hundredth for the common ratio in this sequence.

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Answer:

Each result is equally likely.

The sample space has 36 different outcomes.

Explanation:

A number cube has 6 sides, and there are 2 number cubes so there are 36 possible outcomes because 6² = 36

Answer:

Each result is equally likely.

The sample space has 36 different outcomes.

Step-by-step explanation:

Answer:

34.166

Step-by-step explanation:

Mean=(Sum of all the numbers)/12=410/12=34.166

\(\huge\textsf{Hey there!}\)

\(\bullet \large\textsf{ Finding the mean you have to add up all of your numbers \& divide it}\\\large\textsf{by the total numbers in your data plot}\)

\(\mathsf{\dfrac{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}{12}}\)

\(\mathsf{20 + 5 + 45 + 90 + 60 + 45 + 30 + 10 + 20+ 45 + 15 + 25}\)

\(\mathsf{= 25 + 45 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 70 + 90 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 160 + 60 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 220 + 45 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 265 + 30 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 295 + 10 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 305 + 20 + 45 + 15 + 25}\)

\(\mathsf{= 325 + 45 + 15 + 25}\)

\(\mathsf{= 370 + 15 + 25}\)

\(\mathsf{= 385 + 25}\)

\(\mathsf{= \bf 410}\)

\(\mathsf{= \dfrac{410}{12}}\)

\(\mathsf{\dfrac{410}{12} \approx \bf 34.1667}\)

\(\boxed{\boxed{\huge\textsf{Thus, your ANSWER is: \boxed{\mathsf{ \bf \underline{{\star 34.1667\star}}}}}}}}\huge\checkmark\)

\(\huge\textsf{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Applying the triangle proportionality theorem, the value of x is calculated as: D. 15.

The Triangle Proportionality Theorem (also known as the Side-Splitter Theorem) states that if a line is parallel to one side of a triangle and intersects the other two sides, then it divides those two sides proportionally

Based on the triangle proportionality theorem, we have:

x - 6 / 3 = x / 5

Cross multiply:

5(x - 6) = 3x

5x - 30 = 3x

Combine like terms to find the value of x:

5x - 3x = 30

2x = 30

x = 30/2

x = 15

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Answer:

A. Actute triangle

Step-by-step explanation:

Is A because an acute triangle is a triangle where all the angles are the same.

Can not be B. because isosceles triangles have two sides that are the same which doesn't relate to angles.

Can not be C. because equilatiral triangles are triangles with sides that are all the same.

Can not be D. because for a triangle to be obtuse one of the angles needs to be greater that 90 degrees.

So it has to be A.

The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.

To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:

x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ

Substituting these values in the given equations, we get:

r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ

Simplifying these equations, we get:

r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ

Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:

r² = 6 cosθ

And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:

r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)

Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:

r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)

This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.

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50

Step-by-step solution:

    0.3x-42=0.1x-32

    -0.1x

    0.2x-42=-32

                   +42

      0.2x=10

               0.2                

        x=50

Number of people that expected to do their shopping online in a sample of 60 is 46

To determine the expected number of people who do their shopping online in a sample of 60 people, you can use the following formula:

Expected number = Sample size x Percentage

Substituting the values from the question, we get:

Expected number = 60 x 0.76

Expected number = 45.6

Since you can't have a fractional person, you can round this up or down to the nearest whole number. In this case, it makes sense to round up, since you can't have a partial person.

Therefore, we can expect that about 46 people in a sample of 60

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Answer:

117.9

Step-by-step explanation:

add the whole numbers, 80 and 37, you get 117. Then add tge 0.9 and you get 117.9

:)