I'm stressing really bad because I don't know how to solve this math time series question. IF SOMEONE COULD PLEASE LEND ME THEIR EXPERTISE AND GENIUSNESS, I HOPE YOU ARE UNCEASINGLY BLESSED!

Data from a voluntary response sample, which is not representative of the population, are included in the histogram.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.

A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.

Histograms show numerical or quantitative data, whereas bar charts show categorical factors.

Therefore, the correct answer is option b) The histogram includes data from a voluntary response sample which is not representative of the population.

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well, the volume of that triangular prism will just be the area of the triangle times the length.

now, what's the area of that triangular face?  well, let's say it has a base of "b" and a height of 3, whilst the prism has a length of 6, Check the picture below.

\(\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(b)(3)}\stackrel{\textit{prism's length}}{(6)}~~ = ~~4\frac{1}{2}\implies 9b=\cfrac{9}{2}\implies b=\cfrac{9}{18}\implies b=\cfrac{1}{2}\)

Answer:

2x^2+2y+xy

Explanation:

x^2+x^2=2x^2

y+y=2y

The probability of receiving 3 or fewer pieces of junk mail is 0.44 or 44%.

Probability is a measure of how likely an event is to occur.

Total number of pieces of junk mail that could be received = 2 + 14 + 6 + 16 + 12 = 50

Total number of pieces of junk mail that correspond to receiving 3 or fewer pieces = 2 + 14 + 6 = 22

Now calculate the probability by dividing the number of pieces of junk mail that correspond to receiving 3 or fewer pieces by the total number of pieces of junk mail:

P(3 or fewer pieces) = 22/50 = 0.44

So the probability of receiving 3 or fewer pieces of junk mail is 0.44 or 44%.

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Answer:

7/9

.......

......

......

Answer:

9/2

Step-by-step explanation:

0.45 or %45 is left of the circular cake.

Hope this helps; have a great day!

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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The radius of convergence of the power series is given by R. The radius of convergence of the power series sum _(c_n) x^6n is R^(1/6).

To see why this is true, note that the power series sum _(c_n) x^6n can be written as the original power series sum _(c_n) (x^6)^n. Since the original power series has radius of convergence R, the series (x^6)^n has radius of convergence R^(1/6).

By the theorem on product of power series, the product of these two power series will have a radius of convergence equal to the minimum of the radii of convergence of the two series, which is R^(1/6). Thus, the radius of convergence of the power series sum _(c_n) x^6n is R^(1/6).

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The radius of convergence of the power series is given by R. The radius of convergence of the power series sum _(c_n) x^6n is R^(1/6).

To see why this is true, note that the power series sum _(c_n) x^6n can be written as the original power series sum _(c_n) (x^6)^n. Since the original power series has radius of convergence R, the series (x^6)^n has radius of convergence R^(1/6).

By the theorem on product of power series, the product of these two power series will have a radius of convergence equal to the minimum of the radii of convergence of the two series, which is R^(1/6). Thus, the radius of convergence of the power series sum _(c_n) x^6n is R^(1/6).

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Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

1/12 i hope this is correct i think so i did it in my calculator so i hope it helps

Step-by-step explanation:

The angle pairs in this problem are classified as follows:

A linear pair is the angle formed with the intersection of two lines, hence angles 1 and 2 form a linear pair.

Alternate Interior angles are angles that are on the inner side of the two parallel lines but on opposite sides relative to the transversal, hence angles 6 and 12 are alternate interior angles.

Vertical angles are angles that are on the opposite by the same vertex, and this vertex is the intersection point of one of the parallel lines with the transversal, hence angles 10 and 16 are vertical angles.

Corresponding angles are angles that are on the same position relative to the transversal line, but on different parallel lines, hence angles 3 and 11 are corresponding angles.

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The completed statements with regards to the compound interest of the amount in the account are;

If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years

If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years

Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.

The compound interest formula indicates that we get;

\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)

Where;

P = The principal amount invested = $92 million

r = The interest rate = 5% monthly

n = The number of times the interest is compounded per annum = 12

t = The number of years = 2 years

Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)

The amount in the account after 2 years is therefore about $101.655 million

The formula for the amount in the account if the principal is compounded continuously, we get;

A = \(P\cdot e^{(r\cdot t)}\)

Therefore, we get;

\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)

The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million

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Answer:

A = 55

B = 60

Step-by-step explanation:

We know that 55+ b+ other angle = 180 since they make a straight line

The other angle = 65 since they are alternate interior angles

55+ B+ 65 = 180

Combine like terms

120 + B = 180

B = 60

A + B + 65 = 180 interior angles of a triangle must equal 180 degrees

A +60+ 65 =180  

Combine like terms

A +125 = 180

A = 55

Answer:

\(\boxed{A = 55\°}\)

\(\boxed{B = 60\°}\)

Step-by-step explanation:

Exterior Angle with A = 180 - 55 = 125 degrees  (Angles on a straight line)

The measure of exterior angle is equal to the sum of non-adjacent interior angles.

So,

125° = B + 65°

B = 125 - 65

B = 60°

Now,

A = 180 - 60 - 65     (Interior angles of a triangle add up to 180 degrees)

A = 55°

Use the CSS "background-image" property to configure a linear gradient.

The "background-image" property in CSS allows you to set an image or a gradient as the background of an element. When configuring a linear gradient, you can use the "linear-gradient()" function as the value for the "background-image" property. This function allows you to define the starting and ending points of the gradient, as well as the colors and stops along the gradient.

By specifying the desired colors, positions, and angles within the "linear-gradient()" function, you can create customized linear gradients to apply as backgrounds to elements on a web page, achieving visually appealing effects and smooth transitions.

Therefore, Use the CSS "background-image" property to configure a linear gradient.

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To configure a linear gradient in CSS, you can use the 'background-image' property with the 'linear-gradient()' function.

To configure a linear gradient in CSS, you can use the 'background-image' property along with the 'linear-gradient()' function. Here's an example:

In the above code, replace 'element' with the selector for the HTML element you want to apply the gradient to. 'direction' specifies the direction of the gradient, such as 'to right' or 'to bottom'. 'color1', 'color2', and so on represent the colors you want to use in the gradient. You can specify multiple colors to create a smooth transition between them.

For example, to create a horizontal gradient from red to blue, you can use the following code:

This will apply a linear gradient from red to blue horizontally on the selected element.

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The dimensions of the garden would be length = 28 meters and width = 9.5 meters.

What are quadratic equations?

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, and b, are the coefficients, c is the constant term, and x is the variable. Since the variable x is of the second degree, there are two roots or answers for this quadratic equation.

Let the width be = w

Let the length be = L

enclose three side ( 2w+L) = 47 meter

L = 47-2w

Area of field = w*L

Area = w(47 - 2w)

266  = 47w - 2w²

2w² - 47w + 266 = 0

Solving this, we get

w = 14 or w = 9.5

The width should be less than the length so w = 9.5
Length = 47 - 2(9.5)

            = 47 - 19

            = 28 meters.

Hence, the dimensions of the garden would be length = 28 meters and width = 9.5 meters.

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Answer:  $42,236.97

Work Shown:

A = P*(1+r/n)^(n*t)

A = 25000*(1+0.06/1)^(1*9)

A = 42236.9739750673

A = 42236.97

Question:

A reservoir in the shape of a right circular cylinder has a height of 84ft. If it to contain 79,200 L of water, find its radius.

Answer:

\(r = 3.26ft\)

Step-by-step explanation:

Given

\(Volume = 79200L\) ---- V

\(Height = 84ft\) ---  h

Required

Determine the radius

\(Volume = 79200L\)

Convert volume to \(ft^3\)

\(Volume = 79200 * 0.0353147ft^3\)

\(Volume = 2796.9216ft^3\)

The volume (V) of a cylinder is:

\(V = \pi r^2 h\)

Substitute values for volume and height

\(2796.9216 = \pi * r^2 * 84\)

Divide both sides by 84

\(33.2966857143 = \pi * r^2\)

Take \(\pi\) as 3.14

\(33.2966857143 = 3.14 * r^2\)

Divide both sides by 3.14

\(10.604 = r^2\)

\(r^2 = 10.604\)

Take the square root of both sides

\(r = \sqrt{10.604\)

\(r = 3.26ft\)

Hence, the radius is 3.26 ft

Answer: the question does not make sense, there would still be 10 shells

Step-by-step explanation:

Answer:

16g

Step-by-step explanation:

Answer:

your answer will be 16 grams

Step-by-step explanation:

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

a) Equation of Parallel line to the given line and passes through the point (-6, -4)

We know that the slope-intercept form of the line equation is

\(y = mx+b\)

where m is the slope and b is the y-intercept

Given the line

y = -5x+4

comparing with the slope-intercept form of the line equation

The slope of the line = m = -5

We know that parallel lines have the same slope. Thus, the slope of the line parallel to the line y = -5x+4 will also be: -5

So, the equation of the line parallel to the given line and passes through the point (-6, -4) will be:

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -5 and the point (-6, -4)

y - (-4) = -5(x-(-6))

y+4 = -5(x+6)

y+4 = -5x-30

y = -5x-30-4

y = -5x-34

Therefore, the the equation of the line parallel to the given line and passes through the point (-6, -4) will be:

Hence:

Equation of Parallel line: y = -5x-34

a) Equation of Parallel line to the given line and passes through the point (-6, -4)

Given the line

y = -5x+4

comparing with the slope-intercept form of the line equation

The slope of the line = m = -5

We know that a line to perpendicular another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

The slope of new line = – 1/m = -1/-5 = 1/5

So, the equation of the line perpendicular to the given line and passes through the point (-6, -4) will be:

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 1/5 and the point (-6, -4)

y - (-4) = 1/5 (x-(-6))

y+4 = 1/5 (x+6)

Subtract 4 from both sides

\(y+4-4=\frac{1}{5}\left(x+6\right)-4\)

\(y=\frac{1}{5}x-\frac{14}{5}\)

Therefore, the equation of the line perpendicular to the given line and passes through the point (-6, -4) will be:

\(y=\frac{1}{5}x-\frac{14}{5}\)

Hence:

Equation of Perpendicular line: y = 1/5x - 14/5

Answer:

sorry I could not help you but I wish you luck

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

Let's denote the amount of money Blake invests at 4% interest as "x" (in dollars) and the amount he invests at 5% interest as "11000 - x" (since the total investment is $11,000).

To earn interest, we can use the formula: Interest = Principal × Rate × Time

For the 4% interest account, the interest earned is:

0.04x × 1 (1 year) = 0.04x

For the 5% interest account, the interest earned is:

0.05(11000 - x) × 1 (1 year) = 550 - 0.05x

According to the problem, the total interest earned is $490. Therefore, we can set up the equation:

0.04x + (550 - 0.05x) = 490

Simplifying the equation:

0.04x + 550 - 0.05x = 490

-0.01x + 550 = 490

-0.01x = -60

x = 6000

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

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Answer:

  69 miles

Step-by-step explanation:

Put the number in place of the variable representing it and do the arithmetic.

  L = 41 +28 = 69

After 28 days, the length of the road is 69 miles.

Between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. The statement that indicates between 20 and 40 units per hour, the long-run average cost curve exhibits constant returns to scale. This is option B.

In microeconomics, the long-run average cost (LRAC) is a method of showing the average expense per unit for a given level of production input. It is the cost of producing goods per unit using a specified number of inputs, such as labor and capital.

Long-run average cost is the average cost per unit of production after the company has adapted its production scale fully. As a result, the term "long-run" denotes a period in which all of the firm's inputs are variable.

The cost structure's shape is represented by the long-run average cost curve. The curve is determined by dividing the cost of producing goods by the number of goods produced. It aids in identifying the production rate at which a firm may generate the most output at the lowest cost.The long-run average cost curve depicts how the average cost of production varies with scale.

The curve might be downward-sloping, indicating economies of scale, flat, implying constant returns to scale, or upward-sloping, indicating diseconomies of scale, based on the company's production methods.

Hence, the answer is B.

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The probability of having zero errors is approximately 0.711.

The probability distribution that can be used to calculate the probability that zero errors will be found in a 255-word bond transaction is the Poisson distribution.

The Poisson distribution is a discrete probability distribution that is used to model the number of events occurring within a fixed interval of time or space, given the average rate of occurrence of the events.

In this case, the average rate of occurrence of errors is 6 per hour, which can be converted to 0.1 errors per minute. Therefore, the expected number of errors in a 255-word bond transaction is (255/75)*0.1 = 0.34 errors.

Using the Poisson distribution, the probability of having zero errors in a 255-word bond transaction can be calculated as:

\(P(X = 0) = (e^{(-\lambda)} * \lambda^0) / 0! = e^{(-0.34)} * 0.34^0 / 1! \approx 0.711\)

where λ is the expected number of errors in the 255-word bond transaction.

Therefore, the probability distribution used to calculate the probability of having zero errors in a 255-word bond transaction is the Poisson distribution, and the probability of having zero errors is approximately 0.711.

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Answer:

b=-7    or the y-intercept is -7

Step-by-step explanation:

-7= =3(0)+b

-7=b

Answer:

4 ^2 + 2

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

4x^2 + 2x

Step-by-step explanation:

The explanation is in the attachment

:)

The probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

To find the probability that the average number of hours of overtime worked by a random sample of 140 employees exceeds 20 hours, we can use the Central Limit Theorem (CLT). The CLT states that for a large enough sample size, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Given that the population mean is 18.9 hours and the population standard deviation is 7.8 hours, we can calculate the standard error of the mean using the formula: standard error = population standard deviation / sqrt(sample size).

For this problem, the sample size is 140, so the standard error is 7.8 / sqrt(140) ≈ 0.659.

To calculate the probability, we need to standardize the sample mean using the z-score formula: z = (sample mean - population mean) / standard error.

In this case, the sample mean is 20 hours, the population mean is 18.9 hours, and the standard error is 0.659. Plugging these values into the formula, we get z = (20 - 18.9) / 0.659 ≈ 1.71.

Now, we can use a standard normal distribution table or calculator to find the probability associated with a z-score of 1.71. Looking up this value in the table, we find that the probability is approximately 0.9564.

Therefore, the probability that the average number of hours of overtime worked last month by a random sample of 140 employees in the city exceeds 20 hours is approximately 0.9564, or 95.64%.

Here's a sketch to visualize the calculation:

                  |

                  |

                  |

                  |       **

                  |      *  *

                  |     *    *

                  |    *      *

                  |   *        *

                  |  *          *

                  | *            *

-------------------|--------------------------

      18.9        |       20

The area under the curve to the right of 20 represents the probability we're interested in, which is approximately 0.9564 or 95.64%.

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