What is the mean absolute deviation (mad) of the set of data: 7, 9, 11, 28, 36, 41?

Step-by-step explanation:

what is the problem ?

the solution of such a system of 2 equations is the point, where they cross.

this point has the same coordinates for both equations, and that is called the solution.

and we can clearly see that point in the graph :

(-1, 1)

formally we can solve that way

y = 2x + 3

y = -x

therefore,

2x + 3 = -x

3x + 3 = 0

3x = -3

x = -1

y = -x = - -1 = 1

so, we get

(-1, 1) as solution.

The given angles mean that line QT divides angle PQS.

The measure of \(\angle PQT\) is \(15- 3x\)

Given that:

\(\angle PQS = 3x + 13\)

\(\angle SQT = 6x -2\)

Since QT divides \(\angle PQS\);

The equation to calculate \(\angle PQT\) is:

\(\angle PQT = \angle PQS - \angle SQT\)

This gives

\(\angle PQT = 3x + 13- (6x -2)\)

Open bracket

\(\angle PQT = 3x + 13- 6x +2\)

Collect like terms

\(\angle PQT = 13+2- 6x + 3x\)

\(\angle PQT = 15- 3x\)

Hence, the measure of \(\angle PQT\) is \(15- 3x\)

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$ 58.50

Step-by-step explanation:

because 39 Divided by 6 is 6.5 and 6.5 × 9 it's 58 50

Answer:

  927 cubic inches

Step-by-step explanation:

The area of the octagonal base is ...

  A = (1/2)Pa

where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...

  A = (1/2)(8·4)(4.83) = 77.28 . . . square inches

The volume of the prism is given by ...

  V = Bh

where B represents the area of the base, and h is the height.

  V = (77.28 in^2)(12 in) = 927.36 in^3

The volume of the prism is about 927 cubic inches.

the answer on edg is 927

Answer:

30

Step-by-step explanation:

2^3=8

8x3=24

24+6=30

Answer:

\(1275+0.2m=c\)

m is the amount of miles driven, c is the total cost.

Step-by-step explanation:

Since she has a flat fee of 1275, that's the 1275 in the equation and since we don't know how many miles she drives, that's the m in the equation for miles driven. Since each mile costs 0.20, that's the 0.2 in the equation. And since c is the total cost in dollars, that's the c in the equation.

Answer:

24.25 years

Step-by-step explanation:

We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.

We have: 21 = \(\frac{sum}{5}\)

sum = 21 · 5 = 105

Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.

Therefore, the average age of the 4 remaining girls is \(\frac{97}{4} = 24.25\) years.

Hope this helps!

Answer:

24.25

Step-by-step explanation:

Since the average of 5 girls is 21, there total age is 105 (21*5)

If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25

Hope this helps you!

The statement that best describes the composition of most foods is: "They contain mixtures of the three energy nutrients, although only one or two may predominate."

Most foods contain mixtures of the three energy nutrients, namely carbohydrates, proteins, and fats. However, the relative proportions of these nutrients can vary significantly from one food to another. In some foods, one or two of these nutrients may predominate, while others may contain relatively equal amounts of all three.

Carbohydrates are a primary source of energy for the body and can be found in various forms such as sugars, starches, and fibers. Foods like grains (e.g., rice, wheat, oats), fruits, vegetables, and legumes tend to be rich in carbohydrates. However, the specific types and amounts of carbohydrates can vary widely.

Proteins are crucial for building and repairing tissues, as well as for various metabolic functions. Foods like meat, poultry, fish, eggs, dairy products, legumes, nuts, and seeds are excellent sources of protein. Again, the protein content in different foods can vary.

Fats, also known as lipids, are an important energy source and provide essential fatty acids. Foods such as oils, butter, avocados, nuts, and fatty meats are high in fats. Like carbohydrates and proteins, the fat content in foods can differ significantly.

It's worth noting that some foods may predominantly consist of one specific nutrient. For example, pure sugar is almost entirely composed of carbohydrates, while pure oil is almost entirely composed of fats. However, most whole foods, such as fruits, vegetables, grains, meats, and dairy products, contain a mixture of these energy nutrients.

Furthermore, a balanced diet typically includes a combination of these nutrients in appropriate proportions. A varied diet that incorporates a range of foods from different food groups helps ensure an adequate intake of carbohydrates, proteins, and fats, along with other essential nutrients required for optimal health.

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ED = 3.8(tan 40°) (option A)

ED = 3.8/tan 50° (option D)

opposite = side opposite the angle 40° = DE

hypotenuse = EF = 5

adjacent = DF = 3.8

Since we are looking for DE, we can apply the sine ratio (SOH) or the tangent ratio (TOA)

The options are in tan, so we would focus on this.

tan 40° = opposite/adjacent

tan 40° = ED/3.8

ED = 3.8(tan 40°) (option A)

Since we have 40 degree as angle F, it means the third angle is 50 degree. This because 90- 40 = 50°. The 50°is angle E.

Using the angle as 50°:

opposite becomes = 3.8 as this is the side facing 50°

adjacent = ED

tan 50° = opposite/ adjacent

tan 50°= 3.8/ED

ED = 3.8/tan 50° (option D)

Answer:

She must pay $500 for the materials, and $14 per lawn, then:

We know that the total cost is (assuming that they work for 8 weeks, 6 days per week, and 3 times per day)

C = $500 + $14*(8*6*3) = $2,516.

The total revenue that she can make (with the same assumptions as before) is:

R = N*(8*6*3)

Where N is the amount she charges for each lawn that they mowed.

R = N*144

Now, we do not know how much she charges, so the value of N is unknown.

Now, the profit is equal to the difference between the revenue and the cost, this means that the profit is:

P = R - C = N*144 - ($2,516)

P(N) = N*144 - ($2,516)

If we have, for example, N = $20, the total profit will be:

P($20) = $20*144 - ($2,516) = $364

The y-intercept of a linear function is the point at which the graph of the function crosses the y-axis. This point is represented by the coordinate (0, b), where b is the y-intercept.

In the given graph, we can see that the graph of the linear function crosses the y-axis at the point (0, -5). Therefore, the y-intercept of the graph of this function is -5.

To summarize, the y-intercept of the graph of this function is -5.

Answer: -5

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The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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Answer:

y=2/2x-4

Step-by-step explanation:

y-intercept form:

y2-y1/x2-x1

the "b" is the point that crosses the y-axis, which is -4

The table is

x                              y

-5                            6.5

0                             4

5                              1.5

The graph for the equation is shown below

From the question, we are to complete the table with three solutions to the equation

The given equation is

x + 2y = 8

When x = -5

Then, we get

-5 + 2y = 8

2y = 8 + 5

2y = 13

y = 13/2

y = 6.5

When x = 0

0 + 2y = 8

2y = 8

y = 8/2

y = 4

When x = 5

5 + 2y = 8

2y = 8 - 5

2y = 3

y = 3/2

y = 1.5

Hence, the table is

x                              y

-5                            6.5

0                             4

5                              1.5

The graph for the equation is shown below

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In a residual plot if the linearity assumption is the points are scattered and there is no obvious pattern.

Residual plot:

in statistics, residual value is a measure of how much a regression line vertically misses a data point.

Given,

Here we need to find what would you expect to see in a residual plot if the linearity assumption is correct.

As per the definition of residual plot, there is no obvious pattern for this plot and the positive and negative values are evenly spread across the whole range.

Therefore, in the regression line there are some points are misses the line on the vertical base.

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Answer:

Solution,

X=2

Now,

\( \frac{x - 6}{8} + 5 \\ = \frac{2 - 6}{8} + 5 \\ = \frac{ - 4}{8} + 5 \\ = \frac{ - 4 + 5 \times 8}{8} \\ = \frac{ - 4 + 40}{8} \\ = \frac{36}{8} \\ = \frac{9}{2} \)

hope this helps ..

Good luck on your assignment..

226'394 is the area of grass need to grow

Answer:

w=17/8

Step-by-step explanation:

32w+(-20)=48

Add +20 to both sides.

32w=68

Divide 32 to both sides.

Then simplify 68/32 by dividing numberator and denominator by 4.

w=17/8

Hello! :)

The first step is to make sure all numbers are on the right side of the equation

3w-20=48

3w=48+20

3w=68

Now divide both sides by 3 to isolate x:

x=68/3

hope this helps you

\(GraceRosalia\)

Answer:

Step-by-step explanation:

The probability of selecting a sample with a mean of 1450 or less, given a known population mean of 1500 and a known standard error of the mean of 42.50, is approximately 11.90%.

Probability plays a significant role in statistics and helps us understand the likelihood of an event occurring. In this case, we will discuss the probability of selecting a sample with a mean of 1450 or less, given a known population mean of 1500 and a known standard error of the mean of 42.50.

To calculate the probability of selecting a sample with a mean of 1450 or less, we will use the concept of the standard normal distribution. The standard normal distribution is a probability distribution that has a mean of 0 and a standard deviation of 1.

We can convert any normal distribution to a standard normal distribution by using the formula z = (x - μ) / σ, where z is the standard score, x is the raw score, μ is the population mean, and σ is the standard deviation.

In this case, we know the population mean is 1500, and the standard error of the mean is 42.50. The standard error of the mean is the standard deviation of the sample means, and we can calculate it using the formula σ/√n, where σ is the population standard deviation and n is the sample size. However, in this case, we already know the standard error of the mean.

Using the formula z = (x - μ) / σ, we can find the z-score for a sample mean of 1450:

z = (1450 - 1500) / 42.50

z = -1.18

We can then use a standard normal distribution table to find the probability of a z-score of -1.18 or less.

The probability of a z-score of -1.18 or less is 0.1190, or approximately 11.90%.

Therefore, the probability of selecting a sample with a mean of 1450 or less, given a known population mean of 1500 and a known standard error of the mean of 42.50, is approximately 11.90%.

This means that if we were to randomly select samples from the population, about 11.90% of them would have a mean of 1450 or less.

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The calculated expectation of X is 0.1

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

P{X = -1}=0.2, P{X = 0} = 0.5, P{X = 1}=0.3

The expectation of X is calculated as

E(x) = ∑xp(x)

So, we have

E(x) = -1 * 0.2 + 0 * 0.5 + 1 * 0.3

Evaluate

E(x) = 0.1

Hence, the expectation of X is 0.1

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The real part of the complex number - 5 + 3i is ''-5''.

The complex part of the complex number - 5 + 3i is ''3''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The complex number is,

⇒ - 5 + 3i

Now,

Since, The complex number is,

⇒ - 5 + 3i

Hence, The real part of the complex number = -5

The complex part of the complex number = 3

Thus, real part of the complex number - 5 + 3i is ''-5''.

The complex part of the complex number - 5 + 3i is ''3''.

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Answer:

-5 complex and 3 imaginary complex

Step-by-step explanation:

Answer:

20 km

Step-by-step explanation:

Circumference is given by

C = pi*d

20 pi = pi *d

Divide  each side by pi

20 =d

I dkabouthtisoneiuisrhihurg

Answer:

Number of vans = 7 students

Number of buses = 60 students

Step-by-step explanation:

Let

Number of vans = x

Number of buses = y

2x + 11y = 674 (1)

6x + 14y = 882 (2)

Multiply (1) by 3

6x + 33y = 2,022 (3)

6x + 14y = 882 (2)

Subtract (2) from (3)

33y - 14y = 2,022 - 882

19y = 1,140

y = 1,140 / 19

= 60

y = 60 students

Substitute y = 60 into

2x + 11y = 674 (1)

2x + 11(60) = 674

2x + 660 = 674

2x = 674 - 660

2x = 14

x = 14/2

= 7

x = 7 students

1)

8. ∠ABC, 5. \(\overrightarrow{BA}\), 9. Point C, 3. Plane W, 6. \(\overline{AB}\), 2. \(\overrightarrow{BC}\) and \(\overrightarrow{BA}\), 1. \(\overleftrightarrow{AB}\), 7. Plane ABC, 4. line m.

2)

a) The output of the rule is (-6,9)

b) The output of the rule is (-3,0)

c) No.

3) The image is attached below.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

1)

Angle: An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.

Therefore first image is ∠ABC.

In mathematics, a ray is a segment of a line with a fixed starting point but no ending.

The fixed point is B. Then second image represents \(\overrightarrow{BA}\). The sixth image represents two rays that are \(\overrightarrow{BC}\) and \(\overrightarrow{BA}\),

A point is a basic concept in traditional Euclidean geometry that represents an exact place in space and has no length, breadth, or thickness. In contemporary mathematics, a point more broadly refers to a component of a set known as a space.

The image represent point C.

A plane is an infinitely long, Euclidean, two-dimensional surface in mathematics. A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

The fourth image represent Plane W. The eighth image represents Plane ABC.

The seventh image represents  \(\overleftrightarrow{AB}\) and the ninth image represents line m.

2)

The translation rule is

(x,y) → (x-3, y+4)

(a) The translation of the point (-3,5) is (-3 -3, 5 + 4) = (-6,9).

(b) The translation of the point (0,-4) is (0 -3, -4 + 4) = (-3,0)

(c) No, since a function consists of one variable. But in the translation, there is two variables.

3)

The vertices of △PQR are P(1,-1), Q(3,-2), R(3,-4).

The rule of 180° rotation about origin is (x,y) → (-x,-y)

After rotation, P'(-1,1), Q'(-3,2), R(-3,4).

The rule reflection about x-axis is (x,y) → (x,-y)

After reflection,  P''(1,1), Q''(3,2), R''(3,4).

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Answer:

The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .

Step-by-step explanation:  The circumference of a circle is equal to π , which is a number ≈3.14 , multiplied by the diameter of the circle. Therefore ... We also know that the diameter has twice the length of the radius. In equation form: 2r=d. 2r=16. r=8. Note that since 2r=d , the equation C=2πr holds and can be used in place of C=πd .

The odds that are in favour of guessing the right answer would be = 1:5. That is option A.

The given multiple choice questions has only 5 possible answers.

This means that when both the correct and wrong answers are added together, the total should be = 5.

That is;

4:1 = 4+1 = 5

1:4 = 1+4 = 5

3:2 = 3+2 = 5

Therefore, 1:5 = 1+5 = 6 which can't be a possible answer as it's more than the total of the multiple choice questions.

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