The qualitative forecasting method of developing a conceptual scenario of the future based on well- defined set of assumptions, is: O Delphi method Scenario Writing O Expert Judgment O Intuitive Approach

Answer:

The answer will be 10

Step-by-step explanation:

2/1/5=10

Doubling the sample size while keeping the confidence level and sample proportion constant would result in a narrower one-proportion confidence interval.

Doubling the sample size is like adding more pixels to a picture, making the details clearer and the image sharper. Similarly, when keeping the confidence level and sample proportion constant, doubling the sample size results in a narrower one-proportion confidence interval. It's as if we're zooming in closer to the true population proportion, reducing the uncertainty and providing a more precise estimate. In essence, a larger sample size empowers us to capture the essence of the population with finer precision, painting a more vivid and accurate picture of reality.

In conclusion, increasing the sample size while maintaining the same confidence level and sample proportion leads to a more precise estimation, resulting in a narrower one-proportion confidence interval.

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The true statements regrading the areas of a polygon are: Option 2 and 3.

A polygon simply refers to a two-dimensional geometric shape which comprises straight line segments and a finite number of sides.

In Geometry, the true statements regrading the areas of a polygon include the following:

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Answer:

True

When using polygons to shade regions, each endpoint must be placed on a snap point on the graph.

Answer:

403.20 or 403.2

Step-by-step explanation:

0.05" was replaced by "(05/100

20.16 was replaced by 2016/100

Simplify 05/100= 1/20

Simplify 2016/100= 504/25\

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

504          1              504      20

———  ÷  ——   =   ———  •  —— = 2016/5 = 403.20000

25            20            25          1

Hope this helps

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Answer:

Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!

Step-by-step explanation:

Answer:

63.

first of all you didn't give me the common number

do i look like a Weezer

The vector v3 is in the span of {v1, v2} if and only if h = -9. {v1, v2, v3} is linearly dependent if and only if h = 9, and otherwise it is linearly independent. The results are obtained by solving a system of linear equations and performing row operations on a matrix.

To determine for what values of h v3 is in the span of {v1, v2}, we need to find the values of h that satisfy the equation

v3 = c1 * v1 + c2 * v2

where c1 and c2 are constants. This equation can be written as a system of linear equations

1 * c1 - 3 * c2 = 2

-3 * c1 + 10 * c2 = -7

2 * c1 - 6 * c2 = h

Using Gaussian elimination or another method, we can solve this system of equations to obtain

c1 = -1/2 * h - 1/2

c2 = -1/2

Therefore, v3 is in the span of {v1, v2} if and only if the values of h that satisfy the above system of equations are the same as the value of h in v3, which is

-1/2 * h - 1/2 = 2

h = -9

So, v3 is in the span of {v1, v2} if and only if h = -9.

To determine for what values of h {v1, v2, v3} is linearly dependent, we can form a matrix with v1, v2, and v3 as columns

A = [1 -3 2; -3 10 -7; 2 -7 h]

Then we can use Gaussian elimination or another method to row-reduce the matrix to obtain its row echelon form

[ 1 -3 2 ]

[ 0 1 -1 ]

[ 0 0 h-9 ]

If h-9 = 0, then the matrix has a row of zeros and is linearly dependent. Therefore, {v1, v2, v3} is linearly dependent if and only if h = 9.

Otherwise, the matrix is linearly independent and so is {v1, v2, v3} for all other values of h.

Therefore, {v1, v2, v3} is linearly dependent if and only if h = 9.

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--The given question is incomplete, the complete question is given

" for what values of h is v3 in

v1 = [1 -3 2], v2 = [-3 10 -6], v3 = [2 -7 h]

Span {v1, v2} and (b) for what values of h is {v1, v2, v3} linearly

dependent? Justify each answer."--

Answer: y=-3m+13

Step-by-step explanation:

y=mx+c

m is the gradient

y=-3x+c

We know one point

-2=3(-5)+c

Solve for c

-2=-15+c

13=c

y=-3m+13

Answer:

Slope is -4/7

Step-by-step explanation:

4-8=-4

10-3=7

Answer:

the slope is  \(m=-\frac{4}{7}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps :)

Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

The probability that the card drawn is a face card is 3/13.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are 3 face cards.

Number of jack = 4

Number of queen = 4

Number of king = 4

Total number of cards = 52

The probability that the card drawn is Jack.

= 4/52

The probability that the card drawn is Queen.

= 4/52

The probability that the card drawn is King.

= 4/52

The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52

= 3 x 4/52

=  3 x 1/13

= 3/13

Thus,

The probability that the card drawn is a face card is 3/13.

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Answer:

\( \huge \orange{ \frac{1}{6} } \\ \)

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

From the question we have

\(m = \frac{7 - 6}{7 - 1} = \frac{1}{6} \\ \)

We have the final answer as

\( \frac{1}{6} \\ \)

Hope this helps you

Given:

The objective is to find the line of reflection at which the triangle carries onto itself.

Explanation:

To obtain the reflection of the rectangle on itself, it must reflect over the midpoint of each parallel side of the rectangle.

The line passing through the midpoint of the rectangle in the x-axis is x= 2.

Similarly, the line passing through the midpoint of the rectangle in the y-axis is y = 1/2.

Thus, the reflecting lines are x = 2 and y = 1/2.

Hence, option (A) is the correct answer.

The statement using absolute value notation will be x - 78 ≤ 22.

The student will pass the test which scores 22 points for the number 78

Absolute values are any digit's value without taking the sign into an account. Therefore, all negative numbers will be regarded as positive for absolute value. The absolute value of -5, for instance, will be 5, whereas that of -7, will be 7.

In essence, the absolute value calculates the distance from zero. Putting an absolute value on something does not imply that they are the same number but that they are the same distance from 0.

Le the score of student be = x

Forming the absolute value notation -

This can be expressed as,

x - 78 ≤ 22.

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Answer: 2, 700 cubic ft.

Step-by-step explanation:

2420  + 280 = 2, 700

The formula for volume = Length x Width x Height (L x W x H)

11 x 10 x 22 = 2420

7 x 4 x 10 = 280

2420 + 280 = 2, 700

Answer:

t = 9

Step-by-step explanation:

t/3 = 12 - 9

t = 3 * 3

t = 9

Answer:

t=9

Step-by-step explanation:

t/3+9=12

t/3+9-9=12-9

t/3= 3

3xt/3 = 3x3

t=9

Answer:

Step-by-step explanation:

The mean and standard deviation of two surveys do not give enough information to determine which statement is true. To compare the two surveys and determine which is true, you would need additional information such as the sample sizes, the confidence intervals for the means, and/or a hypothesis test comparing the means of the two surveys.

Answer:

x= 1 and y= 6

Step-by-step explanation:

The speed of the second runner is x = 40/9 miles per hour. The speed of the first runner is (4/5)x = (4/5)*(40/9) = 16/9 miles per hour.

Let the second runner's speed be x. Then the first runner's speed is 4/5 * x = (4/5)x.Therefore, the speed of the first runner is (4/5)x and the speed of the second runner is x.After running for 30 minutes, the first runner would have covered a distance of (4/5)x * 1/2 = (2/5)x miles.

The second runner would have covered a distance of x * 1/2 = (1/2)x miles. Since the runners are 2 miles apart, we can write an equation:(2/5)x + (1/2)x = 2. Multiplying both sides of the equation by 10 to eliminate fractions, we get: 4x + 5x = 40.

Simplifying the equation, we get: 9x = 40. Dividing both sides of the equation by 9, we get: x = 40/9. Therefore, the speed of the second runner is x = 40/9 miles per hour. The speed of the first runner is (4/5)x = (4/5)*(40/9) = 16/9 miles per hour.

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There will be approximately $10,993,600 in the account after 2 years.

We have,

We can use the formula for compound interest:

\(A = P(1 + r/n)^{nt}\)

Where:

A = final amount

P = principal (initial amount)

r = annual interest rate (as a decimal)

n = number of times interest is compounded per year

t = time in years

Now,

P = $8,000,000

r = 0.15 (15% as a decimal)

n = 12 (compounded monthly)

t = 2

Substituting.

A = 8,000,000(1 + 0.15/12)^(12 x 2)

A = 8,000,000(1.0125)^24

A = 8,000,000(1.3742)

A = $10,993,600

Therefore,

There will be approximately $10,993,600 in the account after 2 years.

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Answer:

560x^3y^4.

Step-by-step explanation:

The (r+1)th term of (a + b)^r = nCr a^(n-r) b^r

We want the fifth term so r = 5 - 1 = 4:

(4 + 1)th term = 7C4 x^(7-4) (-2y)^4

= 35x^3 16y^4

= 560x^3y^4.

The car will catch up with cyclist in 3 hours

Time refers to the interval in seconds , minutes or hours it took for an event to take place

Information given for the question include

A cyclist has average speed of 9 miles per hour

A car leaves has average speed of 21 miles per hour

following same route when

The question is asking at what time will the distance be equal if the cyclists have advantage of 4 hours already

Calculation of distance covered by the cyclist

average speed = distance / time

distance = 9 mph *  (x + 4)

Calculation of distance covered by the car

average speed = distance / time

distance = 21 mph *  x

equating both gives

9 mph *  (x + 4) = 21 mph *  x

9x + 36 = 21x

36 = 21x - 9x

12x = 36

x = 3

hence the car will meet the cyclist in 3 hours

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Answer: 49^((1)/(2))=7

Step-by-step explanation:

Since e^(rx) is never zero, we can divide both sides of the equation by e^(rx):

r^3e^(4r) - 9r^2e^(3r) + 9r^3 - 9r^2 + 8r = 0

1. To express the complex number 1 + i in the form R(cos θ + i sin θ) = Reiθ, we need to find the magnitude (R) and argument (θ) of the complex number.

Magnitude (R):

The magnitude of a complex number is given by the formula |z| = √(Re(z)^2 + Im(z)^2), where Re(z) is the real part and Im(z) is the imaginary part of the complex number.

For 1 + i:

Re(1 + i) = 1

Im(1 + i) = 1

|1 + i| = √(1^2 + 1^2) = √2

Argument (θ):

The argument of a complex number is given by the formula θ = tan^(-1)(Im(z)/Re(z)), where Re(z) is the real part and Im(z) is the imaginary part of the complex number.

For 1 + i:

Re(1 + i) = 1

Im(1 + i) = 1

θ = tan^(-1)(1/1) = tan^(-1)(1) = π/4

Therefore, the complex number 1 + i can be expressed as R(cos θ + i sin θ) = √2(cos(π/4) + i sin(π/4)) = √2e^(iπ/4).

To express the complex number √3 - i in the form R(cos θ + i sin θ) = Reiθ, we need to find the magnitude (R) and argument (θ) of the complex number.

Magnitude (R):

The magnitude of a complex number is given by the formula |z| = √(Re(z)^2 + Im(z)^2), where Re(z) is the real part and Im(z) is the imaginary part of the complex number.

For √3 - i:

Re(√3 - i) = √3

Im(√3 - i) = -1

|√3 - i| = √(√3^2 + (-1)^2) = √(3 + 1) = 2

Argument (θ):

The argument of a complex number is given by the formula θ = tan^(-1)(Im(z)/Re(z)), where Re(z) is the real part and Im(z) is the imaginary part of the complex number.

For √3 - i:

Re(√3 - i) = √3

Im(√3 - i) = -1

θ = tan^(-1)(-1/√3) = -π/6

Therefore, the complex number √3 - i can be expressed as R(cos θ + i sin θ) = 2(cos(-π/6) + i sin(-π/6)) = 2e^(-iπ/6).

The given differential equation is y(6) + y = 0.

To find the general solution of this differential equation, we can assume a solution of the form y = e^(rx), where r is a constant.

Differentiating y with respect to x, we have:

y' = re^(rx)

Differentiating y' with respect to x, we have:

y'' = r^2e^(rx)

Substituting these derivatives into the differential equation, we get:

r^2e^(6r) + e^(rx) = 0

Since e^(rx) is never zero, we can divide both sides of the equation by e^(rx):

r^2 + 1 = 0

Solving this quadratic equation for r, we have:

r^2 = -1

r = ±i

Therefore, the general solution of the given differential equation is:

y = c1e^(ix) + c2e^(-ix), where c1 and c2 are arbitrary constants.

The given differential equation is y(6) - y'' = 0.

To find the general solution of this differential equation, we can assume a solution of the form y = e^(rx), where r is a constant.

Differentiating y with respect to x, we have:

y' = re^(rx)

Differentiating y' with respect to x, we have:

y'' = r^2e^(rx)

Substituting these derivatives into the differential equation, we get:

r^2e^(6r) - e^(rx) = 0

Since e^(rx) is never zero, we can divide both sides of the equation by e^(rx):

r^2 - 1 = 0

Solving this quadratic equation for r, we have:

r^2 = 1

r = ±1

Therefore, the general solution of the given differential equation is:

y = c1e^x + c2e^(-x), where c1 and c2 are arbitrary constants.

The given differential equation is y(5) - 9y(4) + 9y''' - 9y'' + 8y' = 0.

To find the general solution of this differential equation, we can assume a solution of the form y = e^(rx), where r is a constant.

Differentiating y with respect to x, we have:

y' = re^(rx)

Differentiating y' with respect to x, we have:

y'' = r^2e^(rx)

Differentiating y'' with respect to x, we have:

y''' = r^3e^(rx)

Substituting these derivatives into the differential equation, we get:

r^3e^(5r) - 9r^2e^(4r) + 9r^3e^(rx) - 9r^2e^(rx) + 8re^(rx) = 0

Since e^(rx) is never zero, we can divide both sides of the equation by e^(rx):

r^3e^(4r) - 9r^2e^(3r) + 9r^3 - 9r^2 + 8r = 0

This equation cannot be easily solved analytically, and the general solution may involve a combination of exponential functions and other terms.

Unfortunately, I cannot provide the exact general solution without additional information or numerical values for the constants involved in the equation.

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Answer:

see explanation

Step-by-step explanation:

Any point that lies on the line is a solution to the equation.

Thus

(0, 1 ), (2, 0 ), (- 2, 2), (4, - 1 ) are all solutions

Answer:

\(\boxed{(6, -2)}\)

Step-by-step explanation:

Any of the points that lies on the line is the solution to the equation of the line.

(-2, 2), (0, 1), (2, 0), (4, -1), (6, -2) are all solutions.

Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

Answer:

64 inches

Step-by-step explanation:

162.56 / 2.54

Answer:

162.56/2.54=64