Simplify the expression in part C, and explain what the number means with regard to the problem.

Answer:

30 hours

Step-by-step explanation:

Ok, since it can make 60 cars in 6 hours we take the 300 divided by the 60 to get 5. Then, multiply the 5 by the 6 to get 30 hours.

.Answer:

The answer is 30 hours

Step-by-step explanation

60 x 5 = 300 cars produced

6 x 5= 30  hours it takes to produce 300 cars

Answer:

b

Step-by-step explanation:

Answer:

x+3

I hope this helps you

When writing an informative essay about an event in history, you should:

To avoid finding it difficult to find information on your topics, pick a topic that has been well researched and has several sources of information on it. European history is well researched.

In the introduction, talk about why you think this topic is significant and include a thesis statement that would be the main logic you are producing details about.

Then divide this thesis into several points and talk about each point in a different paragraph. Use sentences that are not too long so that people don't lose interest.

Use primary and secondary information sources but make sure you reference these sources in the required format.

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The distribution value's skewness Pearson coefficient is 2.5.

Given that the median is 12 and the standard deviation is 6, the mean value is 17.

The difference between the mean and median is multiplied by three to determine Pearson's coefficient of skewness. By dividing the outcome by the standard deviation, A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

To determine Pearson's coefficient of skewness, use the following formula:

Skewness=(3(Mean-Median))÷standard deviation

Replace the values there with,

Skewness=(3(17-12))÷6

Skewness=(3×5)÷6

Skewness=5÷2

Skewness=2.5

Therefore, for a distribution with a mean of 17, a median of 12, and a standard deviation of 6, the value of the Pearson coefficient of skewness is 2.5.

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Answer:

17, 2, 2

Reasoning/Work:

Answer:

43.8

Step-by-step explanation:

Deltamath

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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The present value of Mark's prize, considering the $10,000 annual payments for 10 years and the subsequent $20,000 annual payments for 30 years, with an 8% discount rate, amounts to $171,391.44.

To calculate the present value of Mark's prize, we need to determine the current worth of the future cash flows he will receive. The $10,000 annual payments for 10 years can be considered an annuity, while the subsequent $20,000 annual payments for 30 years can be viewed as a perpetuity starting from the 11th year.

First, we calculate the present value of the annuity using the formula for the present value of an ordinary annuity:

PV_annuity = \(C * [1 - (1 + r)^(-n)] / r\),

where PV_annuity is the present value of the annuity, C is the annual cash flow, r is the discount rate, and n is the number of years. Plugging in the values, we have:

PV_annuity = $10,000\(* [1 - (1 + 0.08)^(-10)] / 0.08\) = $85,394.45.

Next, we calculate the present value of the perpetuity using the formula for the present value of a perpetuity:

PV_perpetuity = C / r,

where PV_perpetuity is the present value of the perpetuity. Plugging in the values, we have:

PV_perpetuity = $20,000 / 0.08 = $250,000.

Finally, we sum up the present values of the annuity and the perpetuity to obtain the total present value:

Total present value = PV_annuity + PV_perpetuity = $85,394.45 + $250,000 = $335,394.45.

Therefore, with an 8% discount rate, the present value of Mark's prize is $171,391.44.

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The length of side LJ as shown in the similar shapes is 12.92.

Similar shapes are enlargements of each other using a scale factor.

To calculate the length of side LJ, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1 and solve for KL

Hence, the right option is 12.92.

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The number √7 belongs to the set of Irrational numbers. The set of irrational numbers includes numbers such as √2, √3, √5, and π, among others.

An irrational number is a real number that cannot be expressed as a fraction or a ratio of two integers. Instead, it is a non-repeating and non-terminating decimal. The square root of 7 (√7) is an example of an irrational number.

In this case, √7 cannot be simplified or expressed as a fraction because 7 does not have a perfect square root. When √7 is evaluated as a decimal, it is approximately 2.645751311... The decimal representation of √7 goes on indefinitely without repeating or terminating, making it an irrational number.

Therefore, the number √7 belongs to the set of irrational numbers.

In summary, √7 is an example of an irrational number, which is a real number that cannot be expressed as a fraction or ratio of two integers. It is a non-repeating and non-terminating decimal. The set of irrational numbers includes numbers such as √2, √3, √5, and π, among others.

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Answer:

a) 3(17 )+ 4(9) = 81

b) 13.5m/s^2

Step-by-step explanation:

trust

Answer: hmmm i think u should multiply

Step-by-step explanation:

Answer:

gfbngfjhbfgnbfhbnng

Step-by-step explanation:

Answer:

50 p Is a better deal

Step-by-step explanation:

if wrong let me know

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21

Answer: -19.2

Step-by-step explanation:

Answer:

x=1 2/3y-1/3z hope this helps!

Step-by-step explanation:

5y=3x+z

-z        -z

5y-z=3x

/3      /3

1 2/3 - 1/3z=x

x=1 2/3y-1/3z

Answer:

x = \(\frac{5y-z}{3}\)

Step-by-step explanation:

5y = 3x + z ( subtract z from both sides )

5y - z = 3x ( isolate x by dividing both sides by 3 )

\(\frac{5y-z}{3}\) = x

Answer:

36 square units

Step-by-step explanation:

Answer:

The first answer is true

Step-by-step explanation:

I took the test

Answer:

0ption C is your answer

Step-by-step explanation:

by using Pythagoras law

x²=8²+15²

x²=289

x=√289=17

Answer:

13. Parallelogram

14. alternate interior angles (h & a)

same side interior angles (e+d & a)

Step-by-step explanation:

13. Parallelogram: Draw it out with the angles. It helps. It can't be a square, because the side lengths aren't the same (2 lines vs 1 line). It can't be a rectangle because rectangles have 90 degrees and not 152 and 28. It can't be a rhombus because the side lengths in a rhombus must be the same (a rhombus is a square that has been stretched).

14. Look at picture (there might be more than what I wrote in the answer)

Answer:

Step-by-step explanation:

definition of a square : Square has 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.

first the shape seems a square, but looking at the information given shows the shape is quadrilateral because it has four sides, and it is not a square because the angles of the shapes are not equal to 90 degrees( even though it shows that) but the given information shows that the angles are 28,152,152, and C. The sum of the angles of any quadrilateral should equal 360,

152+152+28+28=304+56=360 degrees,

opposite angles are equal : angle D=Angle B=28 and angle A=angle C=152

AD=BC and DC=AB ( it seems the shape is a parallelogram).

second image : the two line are parallel then :

angle: g+h=e+d+h=180 degrees ( straight angles)

angle h=angle f

angle g= angle e+d

angle h+b=90 degrees

the sum of angles d+a+c=180 degrees ( the sum of angles of triangle=180).

sum of angles: d+h+90+d+a+c=360 degrees ( sum of angles of quadrilateral=360)

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

What is an equation of the line in point-slope form?

y+1 = (1/3) (x+2)

How can the point-slope form be written in function notation?

f(x) = 1/3x - 1/3

Step-by-step explanation:

Right on Edge 2021

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

5000 worth car after 5 years

Answer:

x.   y

-1---2^-1=1/2

0---0

1----2

2----2*2=4

Step-by-step explanation:

x.   y

-1---2^-1=1/2

0---0

1----2

2----2*2=4

The partial fraction decomposition of the function is given by x^4 / ((x^3-x)(x^2-x-4)) is A/x + B/(x-1) + C/(x+1) + D/(x^2+2x+2) + E/(x^2-x-4) and 2x^6 - 64x^3 is F/x + G/x^2 + H/x^3 + I(x-4) + J(x^2+4x+16) + K(x+4), respectively.

Partial fraction decomposition is a method used to simplify complex rational expressions by expressing them as a sum of simpler fractions. In first part, the given function is factored as x^4/(x^3-x)(x^2-x-4).

To perform the partial fraction decomposition, we need to find the coefficients A, B, C, D, and E, such that

x^4 / ((x^3-x)(x^2-x-4)) = A/x + B/(x-1) + C/(x+1) + D/(x^2+2x+2) + E/(x^2-x-4)

Similarly, in next part, the given function is factored as 2x^3(x^3-32), and the partial fraction decomposition would involve finding coefficients F, G, H, I, J, and K, such that

2x^6 / (x^3-32) = F/x + G/x^2 + H/x^3 + I(x-4) + J(x^2+4x+16) + K(x+4)

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Answer:

6k-3 or 3(2k-1)

Step-by-step explanation:

First, you need to multiply 1/2 by both the numbers in the parentheses

1/2(12k-6)=

Then, you need to simplify your answer

*If needed, you can simplify further by taking out a factor of 3

Answer:

\(3(2k-1)\)

Step-by-step explanation:

\(\frac{1}{2}(12k-6)\)

Expand the bracket by multiplying by 1/2:

\(6k-3\)

Simplify further by taking out a factor of 3:

\(3(2k-1)\)

a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

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