The following table shows the distribution of expenses of family in a certain year. Food-GH cedis 450. 00

Housing-GH cedis 120. 00

Clothing-GH cedis 120. 00

Tobacco and drink-GH cedis 170. 00

Entertainment-GH cedis 40. 00

A)Construct of expenses

B) what percentage of the total expenses on food?

a. $3,000

b. < than 22 months

c. $3,222.72

From the quote that says "So, just think -- you can walk away with this $3,000 TV set for a little over one hundred dollars a month', we can deduce from it that the company original price for the TV is $3,000. Hence, Frank will need to pay $3,000 for the TV if he had money saved to pay for it today.

Monthly payment for the TV credit = $134

The Original TV cost = $3000.

The number of months to make monthly payments will be more than:

= $3,000 / $134

= 22.3880597015

= 22 months.

If we assume a rental period of 24 months, Frank would pay a total of:

= 24 month x $134.28

= $3,222.72

So, this is more than the cash price of $3,000.

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The table that represents a function is the table in which each value of x is mapped to a single value of y.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

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4.2 x 10-¹ is approximately 3 x 10^4 times larger than 1.4 x 10-5.

After substituting the given coordinate in the flux equation, the resulting flux dΦ through the patch can be expressed in terms of dA as dΦ = E⋅dA⋅cosθ

Here, E represents the electric field intensity, dA is the area of the patch, and cosθ is the angle between the normal vector of the patch and the electric field lines passing through it.The term dA represents the differential area of the patch and is used to calculate the total flux through the entire surface by integrating over the entire area. This integration process adds up the contributions of all the small patches of the surface.

Therefore, the flux through any small patch of the surface can be calculated using the above equation by substituting the appropriate values of E, dA, and cosθ. This formula is particularly useful in calculating the flux through curved surfaces or irregularly shaped patches.In summary, after substituting the given coordinate, the flux dΦ through the patch can be expressed in terms of dA using the formula dΦ = E⋅dA⋅cosθ, which helps in determining the total flux through the entire surface.

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Answer: a/b

Step-by-step explanation:

There isn't really an explanation for this but

a ration number has to be able to be written as a fraction

for example, the number 6 is rational

we can prove this because 6 can be written as 6/1.

Answer:

-16t^2 - 16t + 180 = 0

4t^2 + 4t - 45 = 0

t = (-4 + √(4^2 - 4(4)(-45))/(2×4)

= (-4 + √736)/8 = (-4 + 4√46)/8

= (-1 + √46)/2 = 2.89 seconds

Answer: you have to multiply by ft2 x 250 = the answer is 23.22576 divide by 1.45161 and this is your real answer = 89.16

Step-by-step explanation: you have to do what i told you to do above of me

Answer: 24 - Rectangle 1

Step-by-step explanation:

The two Rectangle 1's are the top and bottom rectangles. To find the area of a rectangle, you have to multiply length x width. You know that the bottom rectangle is identical to the top rectangle, so by solving for the bottom rectangle, we solve for the top!

The length of this rectangle at the bottom is 8, and the width is 3. 8 x 3 = 24. The area of the bottom and top rectangles (1) are 24.

The question wants you to multiply one rectangle with an area of 24 feet squared by 2, because there are two of the same rectangles (top and bottom). 24 x 2 = 42. The total area of the top and bottom rectangles is 42 square feet.

You can do the same with the other rectangles. Using length x width = area, you can then multiply that times two to get the area of two of the same rectangles. Here's one more example from the problem:

The largest rectangle from the rectangular prism is facing the front, the other is facing the back. The length of these two rectangles is 15, the width is 8.

length x width = area
15 x 8 = area

120 square feet = area

Now, multiply that by 2 and you get the area of both of the same rectangles. 240 square feet.

Now we have Rectangle 1 (x2) = 42, and another Rectangle (2 or 3) (x2) = 240. Now, all you have to do is find the area of the rectangle with the length of 15 and the width of three and multiply it by two to find the areas of all the triangles. Then, save all three answers: 42, 240, and the other answer. Then, add 42, 240, and the other answer together to get the Total Surface Area. Good luck!

The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve.

The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable whose distribution converges to a normal distribution as the number of samples increases. Therefore, physical quantities that are expected to be the sum of many independent processes, such as measurement errors, often have distributions that are nearly normal.

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The street dance group performed a total of 4.5 hours for 8 days during the summer.

From the given image, on the first two days which are Day-1 and Day-2 they performed for 1/4 hour which is  0.25 hours on each day. The next 3 days which are day-3, day-4, and day-5 they performed for 2/4 hour which is 0.5 hour on each day. For the next 2 days which is day-6 and day-7, they performed for 3/4 hours which is 0.75 hours for each day. On the final day which is day-8, they performed for 1 hour.

To find mathematically, the total hours they performed in 8 days is

Total hours = (2 x 0.25) + (3 x 0.5) + (2 x 0.75) + 1 (1)

                   = 0.5 + 1.5 + 1.5 + 1

                   = 4.5 hours

From the above analysis, we can conclude that the dance group performed for a total of 4.5 hours for 8 days.  

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After  creating all the new nodes, we can traverse the original list again and set the random pointers of each new node based on the mapping stored in the hash map. Finally, we can return the head of the new list.

This problem requires creating a deep copy of a linked list that contains an additional random pointer for each node.

The  random pointer can point to any node in the list or be null.

To  solve this problem, we need to traverse the original linked list and create a new node for each node in the original list. The new node should have the same value as the original node and a null random pointer. We can store a mapping between the original node and the new node in a hash map.

After  creating all the new nodes, we can traverse the original list again and set the random pointers of each new node based on the mapping stored in the hash map. Finally, we can return the head of the new list.

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Answer:

12π

Step-by-step explanation:

We Know

Circumference of a circle = d x π

d = 12 cm

Find its circumference in pi.

Let's solve

12 x π = 12π

So, the circumference of the circle is 12π

Answer:

C=12π

C≈37.69911 cm

Step-by-step explanation:

d=2r, with d being diameter and r being the radius.

C=2πr, with C being the circumference and r being the radius.

Therefore, C=πd.

C=πd

C=π(12)

C=12π

C≈37.69911 cm

Hope this helps and good luck on your homework!

The dependent measures of the study were the number of parts produced and accuracy, which were used to assess the effects of the 1988 heat wave on worker productivity.

Based on the information provided, the study described represents a between-subjects design.

This is because the 48 machinists were randomly assigned to two different groups, with one group being tested at a cool room temperature and the other group being tested at a hot room temperature.

Each group was then measured using dependent measures of number of parts produced and accuracy.
A between-subjects design is a type of experimental design where different groups of participants are assigned to different conditions or treatments, and the outcomes are compared between these groups.

In this case, the two groups of machinists were assigned to different room temperatures and their productivity and accuracy were measured.

The use of dependent measures also suggests that this study was experimental in nature, meaning that the researchers were manipulating the independent variable (room temperature) in order to see how it affected the dependent variables (number of parts produced and accuracy).

Overall, this study used a between-subjects experimental design to test the effects of the 1988 heat wave on worker productivity, by randomly assigning machinists to different room temperatures and measuring their productivity and accuracy using dependent measures.

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The chances of your bar having the golden ticket are still 80%.

The chances of your bar having the golden ticket in it are still 80%.

Even though the other students have opened their bars and found no golden ticket, the probability of the golden ticket being in the remaining bar has not changed.

The fact that the other students opened their bars and found nothing does not affect the probability of your bar containing the golden ticket.

Therefore, the chances of your bar having the golden ticket are still 80%.

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The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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The solution for the inequality is b > -34/7.

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society.

The inequality can be expressed as:

10 + 7b > -24

To solve for b, we need to isolate the variable b. We can do this by subtracting 10 from both sides of the inequality:

10 + 7b - 10 > -24 - 10

This simplifies to:

7b > -34

Finally, we divide both sides of the inequality by 7 to solve for b:

(7b) / 7 > (-34) / 7

b > -34/7

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The value of the angle m∠EFA is:  127.5°

A parallelogram is defined as a quadrilateral that has its opposite sides parallel and equal to each other. It has its interior opposite angles equal. Also, the angles on the same side of the transversal sum up to 180 degrees or are supplementary to each other.

Since the figure is a parallelogram, it means that:

DC║AB

Thus:

m∠B = 75°

m∠DCB = 180° - 75°

m∠DCB = 105°

CF bisects ∠DCB
Thus:

m∠DCF = m∠FCB = ¹/₂ * 105° = 52.5°

Thus:

m∠EFA = 180° - 52.5°

m∠EFA = 127.5°

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For any rational numbers r and s, 2r + 3s is rational. This is a corollary of Theorem 4.3.2.

Since r and s are rational numbers, they can be expressed as a ratio of integers:

r = a/b

s = c/d

where a, b, c, and d are integers and d and b are nonzero.

Then,

2r + 3s = 2(a/b) + 3(c/d)

= (2ad + 3bc)/(bd)

Since the product and sum of any two integers is also an integer, we know that 2ad and 3bc are integers. Thus, the numerator is the sum of two integers, which means it is also an integer. The denominator is the product of two nonzero integers, which means it is also nonzero. Therefore, 2r + 3s is a ratio of integers, and hence it is a rational number.

Therefore, for any rational numbers r and s, 2r + 3s is rational. This is a corollary of Theorem 4.3.2.

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The number of times by which 9 × 10⁵ is larger than 5 × 10³ as required to be determined is; 180.

It follows from the task content that the number 9 × 10⁵ is to be compared to 5 × 10³ and determine how larger it is.

On this note, to determine how large 9 × 10⁵ is compared to 5 × 10³; we have that;

(9 × 10⁵) / (5 × 10³)

= (9/5) × (10⁵/10³)

= 1.8 × 100

= 180.

Consequently, the correct answer as required is 180.

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Answer: 180

Step-by-step explanation:

try it and find out........ because it is right -.-

I'm guessing that you want to simplify [tex]67.6^2[/tex]

The two above the 67.2 is a square or a power.

Usually when you take something to a power, you mutiply the number of time by the power:

Examples:   [tex]78^2[/tex] would be 78*78

                   [tex]23^5[/tex] would be 23*23*23*23*23

Questions?

67.6² would simply be 67.6*67.6.

So therefore it is 4569.76

The length of the arc with a central angle of 30 degrees and radius 4 inches is 2.09 units

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

central angle = 30 degrees

Radius = 4 units

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

Substitute the known values in the above equation, so, we have the following representation

Length of arc = 30/360 * 2 * 3.14 * 4

Evaluate

Length of arc = 2.09

Hence, the length of the arc is 2.09 units

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The probability that he can fit without bending is 0.9938.

We have,

Mean = 69

standard Deviation = 2.8

So, The probability that he can fit without bending is

z= (x - [tex]\mu[/tex]) / [tex]\sigma[/tex]

z = (76 - 69)/2.8

z = 2.5

z = 2.5

and, P- value for 2.5 = 0.9938.

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Answer:

Postive, The coefficient of determination is a measure of how well the regression line fits the data points. It represents the proportion of variation in the dependent variable that can be explained by the independent variable. The coefficient of determination ranges from 0 to 1, with higher values indicating a stronger relationship between the variables. Importantly, it cannot be negative.

The coefficient of determination is equal to the square of the coefficient of correlation, which measures the strength and direction of the linear relationship between two variables. However, unlike the coefficient of determination, the coefficient of correlation can be negative or positive. A negative value indicates an inverse relationship between the variables, while a positive value indicates a direct relationship.

The coefficient of determination, also known as R-squared, is a measure of how well the regression line fits the data. It represents the proportion of variation in the dependent variable that can be explained by the independent variable(s). R-squared ranges from 0 to 1, with higher values indicating a better fit. It cannot be negative, as it is a squared value. The square root of the coefficient of correlation is equal to the coefficient of determination. The coefficient of correlation can be negative or positive, indicating the direction of the relationship between the variables.

The expression that gives the area vector for a patch on the left face can be found using the cross product of the edge vectors on that face. In order to obtain the area vector, we need:

1. Identify the left face of the object.
2. Determine two edge vectors on the left face by subtracting the coordinates of their corresponding points. Let these edge vectors be A and B.
3. Calculate the cross product of vectors A and B, denoted as A x B. This will give you the area vector for the patch on the left face.

4. If needed, calculate the magnitude of the area vector to obtain the area of the patch.

By using the cross product of the edge vectors, you can find the area vector for a patch on the left face of an object. The cross product results in a vector that is perpendicular to the plane of the two input vectors, and its magnitude represents the area of the parallelogram formed by the two vectors. This area vector is useful in various applications, such as calculating surface integrals and determining the orientation of a face in 3D space.

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The solution set of a homogeneous system of 18 linear equations in 20 variables lies in the null space of the coefficient matrix.

To know that every associated nonhomogeneous equation has a solution, we need to ensure that the homogeneous system has a nontrivial solution.

This means that we need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, i.e., whether there exist free variables.

If the rank is less than the number of variables, then there are infinitely many solutions to the homogeneous system, and thus every associated nonhomogeneous equation has a solution.

However,

We also need to ensure that the particular solution to the nonhomogeneous equation does not lie in the null space of the coefficient matrix.

This is equivalent to checking whether the null space of the coefficient matrix is orthogonal to the vector on the right-hand side of the nonhomogeneous equation.

If it is, then the nonhomogeneous equation has a solution.

So, in summary, to know that every associated nonhomogeneous equation has a solution.

We need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, and we need to check whether the particular solution lies in the null space of the coefficient matrix.

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The average rate of change in dollars per year from 10 to 30 years is: 1. 33.5.

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function g(t) over the interval [10, 30]:

a = 10; f(a) = 562.49

b = 30; f(b) = 1232.49

Substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (1232.49 - 562.49)/(30 - 10)

Average rate of change = 670/20

Average rate of change = 33.5.

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Gender is the independent variable (IV) and Galvanic Skin Response (GSR) is the dependent variable (DV). This means that you are investigating how differences in gender might affect the GSR.

So, the correct is A. Gender: GSR

Gender, as the IV, refers to the classification of individuals as male, female, or other, while GSR, as the DV, is a physiological measure of emotional arousal, often used in psychological research.

By examining the relationship between these two variables, you aim to determine whether variations in gender have any impact on GSR levels.

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To test that the two regressions are identical, we need to test the null hypothesis that the coefficients β2 and β3 are equal to zero.

The correct answer is D) F-statistic for the joint hypothesis that β2 = 0, β3= 0.

We can do this by using the F-statistic for the joint hypothesis that β2 = 0 and β3 = 0.

The F-statistic is calculated as follows:

F = [(RSSR - RSSUR) / 2] / [RSSUR / (n - 4)],

where RSSR is the residual sum of squares from the restricted model (with both β2 and β3 set to zero), RSSUR is the residual sum of squares from the unrestricted model (with all coefficients estimated), and n is the sample size.

If the F-statistic is larger than the critical value from the F-distribution with 2 degrees of freedom in the numerator and n-4 degrees of freedom in the denominator at the desired level of significance, we reject the null hypothesis and conclude that the two regressions are not identical.

Option A) is incorrect because testing β2 and β3 separately does not provide a joint test of whether the two regressions are identical.

Option B) is incorrect because it tests a different hypothesis about the intercept and slope coefficients.

Option C) is incorrect because it only tests whether the interaction effect is significant, but it does not test whether the two regressions are identical.

D) F-statistic for the joint hypothesis that β2 = 0, β3= 0.

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The solution to the inequality is 2x + y < 7 and the graph is plotted

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

2x + y < 7

On simplifying the equation , we get

Let the point be P ( 2 , 3 )

2 ( 2 ) + 3 < 7

4 + 3 < 7

7 is not less than 7

So , it is not a solution to the inequality

Hence , the equation is 2x + y < 7

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A probability that can be deducted through logical reasoning before an experiment is performed is Theoretical probability.

Theoretical probability is based on what is expected to happen, or a theory, using reasoning. It is based on knowledge and mathematics. An experiment is not conducted to find theoretical probability.

The formula to calculate the theoretical probability of event A happening is:

P(A) = number of desired outcomes / total number of possible outcomes

For example, the theoretical probability that a dice lands on “2” after one roll can be calculated as:

P(land on 2) = (only one way the dice can land on 2) / (six possible sides the dice can land on) = 1/6

Thus, A probability that can be deducted through logical reasoning before an experiment is performed is Theoretical probability.

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The value of b is  -0.45.

Calculate the mean of x and y values.

The mean of x values is: [tex]x=\frac{(1 + 0 + 3 + 2 + 4)}{5} =2[/tex]

The mean of y values is: [tex]y =\frac{ (0 + 3 + 1 - 3 + 2)}{5} =0.6[/tex]

Calculate the sample covariance between x and y values.

The sample covariance between x and y is: [tex]s_{xy} =[/tex] Σ  [tex]\frac{[(xi - x)(yi - y)]}{(n-1)}[/tex]

where Σ denotes the sum of, xi and yi are the i-th values of x and y, respectively, and n is the sample size.

[tex]s_{xy} = \frac{ [(1 - 2)(0 - 0.6) + (0 - 2)(3 - 0.6) + (3 - 2)(1 - 0.6) + (2 - 2)(-3 - 0.6) + (4 - 2)(2 - 0.6)]}{(5 - 1)}[/tex]

[tex]s_{xy} = -1.8[/tex]

Calculate the sample variance of x values.

The sample variance of x is:

[tex]s_{x^{2} } =[/tex] Σ [tex]\frac{(xi - x)^2}{(n-1)}[/tex]

[tex]s_{x^{2} } =\frac{[(1 - 2)^2 + (0 - 2)^2 + (3 - 2)^2 + (2 - 2)^2 + (4 - 2)^2] }{(5 - 1)}[/tex]

[tex]s_{x^{2} } = 4[/tex]

Calculate the value of b.

The value of b is given by:

[tex]b = \frac{s_{xy} }{s_{x^{2} } }[/tex]

[tex]b = \frac{-1.8}{4}[/tex]

[tex]b = - 0.45[/tex]

Therefore, the value of b in the equation of a straight line that is fitted to the 5 data points by the method of least squares is -0.45.

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