14. the absolute value of a correlation coefficient is:14. the absolute value of a correlation coefficient is:

The number of miles in 4 weeks is 20 mules

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

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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The point on the y-axis that lies on the line passing through point g and is parallel to line df is (0, 9).

To find the point on the y-axis that lies on the line passing through point g and is parallel to line df, we first need to determine the slope of line df. Since the line is parallel to the new line passing through point g, the slope will be the same.

Once we have the slope, we can use point-slope form to find the equation of the new line. Then, we can set x=0 (since we want to find the point on the y-axis) and solve for y to find the y-coordinate of the point.

So, let's begin.

First, let's find the slope of line df. We can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are any two points on the line. We can use the points d and f, which are (5, 3) and (10, 8), respectively.

slope = (8 - 3) / (10 - 5) = 1

So the slope of line df is 1.

Now, using point-slope form, we can find the equation of the new line passing through point g (which is (-2, 7)) and having a slope of 1. The formula for point-slope form is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is any point on the line (in this case, point g). Substituting in our values, we get:

y - 7 = 1(x - (-2))
y - 7 = x + 2
y = x + 9

So the equation of the new line is y = x + 9.

To find the point on the y-axis that lies on this line, we set x=0:

y = 0 + 9
y = 9

So the point on the y-axis that lies on the line passing through point g and is parallel to line df is (0, 9).

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Answer:

x=4

Step-by-step explanation:

4x-3=2x+5

or, 2x= 8

or, x=8/2=4

Answer:

2290 trees

Step-by-step explanation:

Given data

Let the total number of trees be x

62% of the total trees x is 1420 trees

mathematically

62/100x= 1420

0.62x= 1420

divide both sides by 0.62

x= 1420/0.62

x= 2290.32

To the nearest whole tree= 2290 trees

Answer:

20 3/5

Step-by-step explanation:

this is the correct result when 30 9/10 is multipled by 2/3

Answer:

5x²-11x-12=0

Step-by-step explanation:

1) the rule: if quadratic equation is ax²+bx+c=0 and x₁; x₂ are its roots, then x₁+x₂= -b and x₁*x₂=c. The value of 'a' can be calculated by 'b' and 'c'.

2) according to the rule above it is possible to make up the required equation:

b= -(-4/5+3)= -(-0.8+3)= -2.2 and c=(-4/5)*3= -2.4.

x²-2.2x-2.4=0; ⇔ 5x²-11x-12=0.

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

How to find the volume of a rectangular prism and pyramid?

The formula for the volume of a rectangular prism is:

Volume = Length * Width * Height

The formula for the volume of a pyramid is:

Volume = (Base Area * Height) / 3

The volume of a rectangular prism is always greater than or equal to the volume of a pyramid with the same height and base.

This is because the volume of a rectangular prism is calculated by multiplying its three dimensions together, whereas the volume of a pyramid is calculated by multiplying the base area by the height and dividing the result by 3.

Hence, the volume of the rectangular prism is greater than the volume of the pyramid with the same height and base. This is because the rectangular prism has additional volume in the form of its width, which the pyramid does not have.

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Tina read a total of 24 pages

How to find the number of pages Tina read

The number of pages Tina read is gotten by addition of each the pages read each day

Monday she read 6 by 3 pages = 6 * 3 = 18 pages

Tuesday she read 12/6 pages = 2 pages

Friday she read 24/6 page = 4 pages

The sum is solved by

= 18 + 2 + 4

= 24 pages

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Step 1

Given; The equations in the elimination method are written in the standard form as ____

Step 2

Simultaneous linear equations can be solved using the elimination method. First of all, make sure that the equations are written in the standard form either Ax+By=C or Ax+By+C=0. In this method, we multiply both the equations with a non-zero number to make the coefficients of any one variable equal.

Thus the answer is; The equations are written in standard form as seen below

To solve this question, we need to consider the two steps: transferring a student from the second class to the first class, and then randomly choosing a student from the first class.

Let's calculate the probabilities step by step:

Step 1: Transferring a student from the second class to the first class

The probability of transferring a boy from the second class is the ratio of the number of boys in the second class (13 boys) to the total number of students in the second class (13 boys + 12 girls).

P(boy transferred) = 13 / (13 + 12) = 13 / 25

Step 2: Randomly choosing a student from the first class

After the transfer, the first class will have 10 boys and 11 girls. The probability of randomly choosing a boy from the first class is the ratio of the number of boys in the first class (10 boys) to the total number of students in the first class (10 boys + 11 girls).

P(boy chosen from first class) = 10 / (10 + 11) = 10 / 21

Now, to find the overall probability, we multiply the probabilities of the two steps:

P(boy chosen) = P(boy transferred) * P(boy chosen from first class) = (13/25) * (10/21)

Therefore, the probability that the student chosen from the first class is a boy is (13/25) * (10/21), which can be simplified or approximated as needed.

LaTeX code snippet for the answer:

The probability that the student chosen from the first class is a boy is

\($\left(\frac{13}{25}\right) \times \left(\frac{10}{21}\right)$.\)

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If the equation be \($300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$\)then the value of t = 30.43236.

Let the equation be

\($300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$\)

Multiply both sides by 0.0375 / 12, and we get

\($300000 \cdot \frac{0.0375}{12}=\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{\frac{0.0375}{12}} \cdot \frac{0.0375}{12}$$\)

Simplifying the above equation, we get

\($\frac{1875}{2}=300\left(1+\frac{0.0375}{12}\right)^{12 t}$$\)

Switch sides of the equation,

\($300\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{1875}{2}$$\)

Divide both sides by 300, and we get

\($\frac{300\left(1+\frac{0.0375}{12}\right)^{12 t}}{300}=\frac{\frac{1875}{2}}{300}$$\)

Simplifying the above equation, we get

\($\left(1+\frac{0.0375}{12}\right)^{12 t}=\frac{25}{8}$$\)

Apply exponent rules, then

\($12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right)$$\)

Solving the above equation, then

\($12 t \ln \left(1+\frac{0.0375}{12}\right)=\ln \left(\frac{25}{8}\right): \quad t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$\)

\($t=\frac{\ln \left(\frac{25}{8}\right)}{12 \ln \left(\frac{12.0375}{12}\right)}$$\)

simplifying the above value of t, we get

t = 30.43236.

If the equation be \($300000=\frac{300\left(1+\frac{0.0375}{12}\right)^{(12 t)}}{\left(\frac{0.0375}{12}\right)}$$\)then the value of t = 30.43236.

Therefore, the value of t = 30.43236.

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Answer:

C, because it is one unit across

filler filler filler

Answer:

11 months

Step-by-step explanation:

added in picture

Answer:a los 12 meses

Step-by-step explanation:

es un tipo de cuadro y en cada uno se le resta 30/45 por mes

According to the question The paths \(\(r(t)\)\) and \(\(r_2(s)\)\) collide at the points  

\(\((-2, 2\sqrt{3})\), \((-2, -2\sqrt{3})\), \((-2, 2\sqrt{2})\), and \((-2, -2\sqrt{2})\).\)

To determine if the paths \(\(r(t)\) and \(r_2(s)\)\) collide, we need to find the values of \(\(t\) and \(s\)\) such that \(\(r(t_0) = r_2(s_0)\).\)

Given:

\(\(r(t) = (2t^2 + 1, 2t + 3)\)\)

\(\(r_2(s) = (s^2 - 3, -1, s^2)\)\)

To find the collision point(s), we equate the corresponding components of \(\(r(t_0)\) and \(r_2(s_0)\):\)

For the x-component:

\(2t_0^2 + 1 = s_0^2 - 3\)   ...(1)

For the y-component:

\(\(2t_0 + 3 = -1\) ...(2)\)

For the z-component:

\(\[2t_0^2 = s_0^2 \quad \ldots (3)\]\)

From equation (2), we can solve for \(\(t_0\):\)

\(\(2t_0 + 3 = -1\)\(2t_0 = -4\)\(t_0 = -2\)\)

Substituting \(\(t_0 = -2\)\) into equations (1) and (3), we can solve for \(\(s_0\):\)

From equation (1):

\(\(2(-2)^2 + 1 = s_0^2 - 3\)\(8 + 1 = s_0^2 - 3\)\(s_0^2 = 12\)\(s_0 = \pm \sqrt{12}\)\(s_0 = \pm 2\sqrt{3}\)\)

From equation (3):

\(\(2(-2)^2 = s_0^2\)\(8 = s_0^2\)\(s_0 = \pm \sqrt{8}\)\(s_0 = \pm 2\sqrt{2}\)\)

Therefore, the possible collision point(s) between \(\(r(t)\)\)  and  \(\(r_2(s)\)\) are:

\(\((t_0, s_0) = (-2, 2\sqrt{3})\)\((t_0, s_0) = (-2, -2\sqrt{3})\)\((t_0, s_0) = (-2, 2\sqrt{2})\)\((t_0, s_0) = (-2, -2\sqrt{2})\)\)

Hence, the paths

\(\(r(t)\) and \(r_2(s)\) collide at the points \((-2, 2\sqrt{3})\), \((-2, -2\sqrt{3})\), \((-2, 2\sqrt{2})\), and \((-2, -2\sqrt{2})\).\)

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Answer:

16

Step-by-step explanation:

2 from 3 days

another 2 on 2 days

5 for 1 day

7 for 0 days

2+2+5+7= 16

Answer:

Step-by-step explanation:

The table shows that Mrs. Garcia types 70 words in the first minute and 70 additional words in each additional minute.

That is, in x minues, Mrs. Garcia types 70x words:

  y = 70x . . . . words Mrs Garcia can type in x minutes

__

When x=49, the number of words Mrs. Garcia is expected to type is ...

  y = 70×49 = 3,430

She will type 3,430 words in 49 minutes.

The slope of the tangent line to the curve x = 4t₂, y = 2 24t − 14t₂ is 1 at the point (2,10).

To find the slope of the tangent line, we need to take the derivative of y with respect to x, which is dy/dx = (dy/dt) / (dx/dt).

Substituting the given values, we get dy/dx = (48t - 14) / 4, which simplifies to dy/dx = 12t - 3.

To find the point where the slope is 1, we set dy/dx = 1 and solve for t. This gives us t = (1+3)/12 = 1/3.

Substituting t = 1/3 into the equations for x and y, we get x = 4(1/3)² = 4/9 and y = 2(24/3) - 14(1/3) = 16.

Therefore, the point where the tangent line has slope 1 is (4/9, 16).

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The value x at which the equation 3 Superscript 4 x Baseline = 27 Superscript x minus 3 satisfy is, -9.

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

The equation for the unknown variable x is given as,

\(3^{4x}=27^{x-3}\)

The number 27 can be written as 3³. Thus,

\(3^{4x}=3^{3(x-3)}\)

When, the base of  both side of the equation is same, then the exponent can be compared directly. Thus,

\(4x=3(x-3)\)

Solve it further,

\(4x=3(x-3)\\4x=3x-9\\4x-3x=-9\\x=-9\)

Thus, the value x at which the equation 3 Superscript 4 x Baseline = 27 Superscript x minus 3 satisfy is, -9.

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Answer:

-9.

Step-by-step explanation:

As per the unitary method, there are 4 number of 41-cent stamps and  9 number for 8-cents  stamp did Neil use.

Here we have given that Mark needs to mail a CD to a friend. He uses 41-And we need to find the number of each stamp did Neil use

While looking into the given question, we can not use only 8-cent stamps, because 228 is not multiple of 8.

At the same time,  can not use only one 41-cent stamp, because then

=> 228 - 41 = 187 is not multiple of 8.

And also we can not use only two 41-cent stamps, because then

=> 228 - 2 * 41 is not multiple of 8.

And then we can not use only three 41-cent stamps, because then

=> 228 - 3 * 41 is not multiple of 8.

Therefore, we can use use four 41-cent stamps and

=>  (228 - 4 x 41)/8 =  9 (nine) 8-cent stamps.

Therefore,

=> 4 * 41 + 9 * 8 = 228 cents.

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The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Since the 3 pack cost $6.75 this means that:

each bottle of juice cost $2.25.

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

y is x because if x+y is 2x then y must equal x

The sum of x and y is twice x. Then the value of y will be equal to x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-

x + y = 2x

y = 2x - x

y = x

Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Using the Expected Value (EV), Expected Loss Opportunity Value (EOL), and Expected Value of Perfect Information (EVPI) criteria, the best decision for the landowner is to build a barbeque corner, as it has the highest expected value and the lowest expected loss opportunity value, and the Expected Value of Perfect Information indicates limited potential improvement with perfect information.

To determine the best decision among building a playground, a swimming pool, or a barbeque corner, we can use the following decision criteria: Expected Value (EV), Expected Loss Opportunity Value (EOL), and Expected Value of Perfect Information (EVPI).

(i) Expected Value (EV):

To calculate the expected value, we multiply the profitability of each option by their respective probabilities and sum the results.

For the swimming pool:

EV(pool) = (0.20 * 120) + (0.45 * 60) + (0.35 * 30)

For the playground:

EV(playground) = (0.20 * 70) + (0.45 * 90) + (0.35 * 40)

For the barbeque corner:

EV(barbeque) = (0.20 * 30) + (0.45 * 80) + (0.35 * 115)

Compare the expected values to determine the option with the highest expected value.

(ii) Expected Loss Opportunity Value (EOL):

To calculate the expected loss opportunity value, we subtract the profitability of each option from the maximum profitability among the options and multiply the result by their respective probabilities. Then, we sum the results.

For the swimming pool:

EOL(pool) = (max_profit - 120) * 0.20 + (max_profit - 60) * 0.45 + (max_profit - 30) * 0.35

For the playground:

EOL(playground) = (max_profit - 70) * 0.20 + (max_profit - 90) * 0.45 + (max_profit - 40) * 0.35

For the barbeque corner:

EOL(barbeque) = (max_profit - 30) * 0.20 + (max_profit - 80) * 0.45 + (max_profit - 115) * 0.35

Compare the expected loss opportunity values to determine the option with the lowest value.

(iii) Expected Value of Perfect Information (EVPI):

The expected value of perfect information represents the maximum additional expected value that can be obtained if perfect information about the state of nature is available.

EVPI = max(EV(pool), EV(playground), EV(barbeque)) - EV(decision_under_uncertainty)

EV(decision_under_uncertainty) represents the expected value calculated in part (i).

Compare the EVPI to determine the potential improvement in expected value if perfect information is available. By evaluating these criteria, the landowner can make an informed decision on which option to choose based on the profitability under different weather conditions.

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Answer:

The distance between point A(-3,6) and another point is 10.

=> That point belongs to the circle with center A and radius 10.

=> The coordinate (x, y) of that point satisfies the equation of circle:

(x - -3)^2 + (y - 6)^2 = 10^2

or

(x + 3)^2 + (y - 6)^2 = 100

Hope this helps!

Answer:

4 - p

Step-by-step explanation:

hope this helped :)

Answer:

17

Step-by-step explanation:

Dont listen to these bums

The second term in the sequence is 17.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

Given the nth term of a sequence to be b(n)=b(n-1)+1, where n is the number of terms of the sequence

If b(1) = 16... (1)

The second term of the sequence is generated for n= 2:

b(n)=b(n-1)+1

b(2)=b(2-1)+1

b(2) = b(1)+1... (2)

Substituting equation 1 into 2

b(2) = b(1)+1

b(2) = 16 + 1 = 17

Hence, The second term in the sequence is 17.

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Answer:

Ok so I don't have a graphing thing on my computer but on the y axis you are going to put a dot on the one then go up 47 and to the right 1 and put a dot sorry that is as much as i can help you

Answer:

V =base area × height or [(3√3)/2]a2h

where

a = base length

h = height of the prism

Step-by-step explanation: