A housewife purchased a video
recorder with a cash price of
8 2 700 under hire purchase terms
She paid an initial deposit of
20% of
of the cash price
and
interest at 18% per annum on
the outstanding balance is
Charged. The Jamount payable
is paid in 12 equal month
thly
instalments
Calculate for the video recorder
A) The hire purchase price​

Answer:

T=7

Step-by-step explanation:

(T-8) x (-t+15)

Then 15-8

T= 7

Answer:

the X is 35

Step-by-step explanation:

Answer:

B) n = 12

Step-by-step explanation:

To find the unknown variable of an equation, you have to follow these steps.

n x 25 = 5 x 60

n x 25 = 300

Now that the variables on one side of the equation have been simplified, you can solve for n.

We know that n times 25 is equal to 300.

To find the value of n you can divide 300 by 25.

300/25 = 12

n = 12

Now, use substitution to check the answer:

n x 25 = 5 x 60

n x 25 = 300

12 x 25 = 300

300 = 300

So, n = 12.

The unknown number is 12. Answer: B. 12.

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.

We can solve for the unknown number, denoted by n, by dividing both sides of the equation by 25:

n x 25 = 5 x 60

n = (5 x 60) / 25

n = 12

Therefore, the unknown number is 12. Answer: B. 12.

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The formula for determining the area of a rectangle is expressed as

Area = length * width

From the diagram,

Length = 3x + 6

Width = 4x - 1

The expression for the area of the room would be

In standard polynomial form, the terms are arranged in decreasing order of exponents. Therefore, the expression in standard form is

Answer:

not here

Step-by-step explanation:

Answer:

it should be 29

Step-by-step explanation:

Answer:

For this case, the surface area of the cylinder is given by:

A = 2 * pi * r * h + 2 * pi * r ^ 2

Where.

r: cylinder radius

h: cylinder height

Substituting values we have:

A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2

A = 471

Answer:

The total surface area of the cylinder is:

A = 471

Step-by-step explanation:

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integral solutions to the equation \($y_1+y_2+y_3+y_4+y_5=24$\).We can use the method of generating functions to find the number of solutions.

The problem requires us to find the number of solutions of the given equation \($x_1+x_2+x_3+x_4+x_5=39$\), such that each \($x_i\geq3$\).

This is a typical problem of finding the number of non-negative The generating function for each\($y_i$ is$$(1+x+x^2+x^3+....)$$\)

The generating function for \($y_1+y_2+y_3+y_4+y_5$\) is the product of the individual generating functions.

\($$(1+x+x^2+x^3+....)^5=\frac{1}{(1-x)^5}$$\)

We can use the formula for the coefficient of\($x^{24}$\) in the above generating function to get the number of non-negative integral solutions to the equation.

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Answer:

The volume is 25cm

Step-by-step explanation:

Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10.

Answer:

Cup- 3:9

Cup- 2:8

Cup- 1:7

Step-by-step explanation:

Answer:

The formula for measuring the area differs according to shape.

The formula for area of square = a*a

The formula for area of rectangle = l*b

The formula for area of triangle = 1/2*base*height

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Answer:

Step-by-step explanation:

It depends on the shape

For rectangle it is length x breadth

For triangle it is 1/2 x base x height

For square it is L^2

For circle it is pi x r^2

Etc

Answer:

\(\frac{5}{12}\)

Step-by-step explanation:

\(\frac{3}{4} -\frac{1}{3}\)

Find the common denominator and multiply each side by that number

\(\frac{9}{12} -\frac{4}{12}\)

\(\frac{5}{12}\)

For bolded part in explanation: 4·3=12 3·3=9

                                                    3·4=12 1·4=4

Answer:

                                                                                 59360

Step-by-step explanation:

The graph shown in option (B) represents the solution to the inequality y<1/2x-4

A relation between two mathematical expressions which are not equal is known as inequality.

The inequality symbol is "<" (less than).

So, the line of the graph should be dashed and shaded below the line.

Comparing the graphs given in the question, we can conclude that option (B) is correct.

Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.

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Answer:

B aka y<1/2x-4

Step-by-step explanation:

I did this before

Answer:

Step-by-step explanation:

C. Explanation: 100+20=120

X=100

I do not agree with the statement that mutually exclusive events and independent events are the same, as they are two distinct concepts.

P(A ⋂ B) = 0 since A and B are mutually exclusive. This means that they cannot both occur together. Mutually exclusive events are not necessarily independent events, meaning that they don’t necessarily have no effect on each other. P(A | B) = 0 since P(A ⋂ B) = 0.

No, I do not agree with this statement. Mutually exclusive events and independent events are not the same. Mutually exclusive events cannot occur together, meaning that their probabilities can never be added, and the occurrence of one event does not affect the probability of the other. However, independent events are events that are not affected by each other and their probabilities can be added.

I do not agree with the statement that mutually exclusive events and independent events are the same, as they are two distinct concepts.

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Answer:

\(b^{2}\sqrt{30b}\)

Step-by-step explanation:

30 only has factors of 2×3×5, so the only perfect square here is \(b^{2}\), and so you factor that out.

So the probability that exactly 2 of the 3 selected buttons are black is 15/28 or approximately 0.5357.

To find the probability that exactly 2 out of 3 selected buttons are black, we need to consider all possible ways of selecting 2 black buttons and 1 red button, and then add up their probabilities.

The total number of ways of selecting 3 buttons out of 8 is:

(8 choose 3) = 8! / (3! * 5!) = 56

The number of ways of selecting 2 black buttons out of 5, and 1 red button out of 3 is:

(5 choose 2) * (3 choose 1) = (5! / (2! * 3!)) * (3! / (1! * 2!)) = 30

Therefore, the probability of selecting exactly 2 black buttons out of 5 and 1 red button out of 3 is:

P(2 black, 1 red) = 30 / 56 = 15 / 28

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Answer:

275.06

Step-by-step explanation:

Checks would take away money from the bank account.

312.18 - 37.12

Subtract the check from the bank account

275.06

Hope this helps :)

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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It is reasonable for Stacy to use a normal model for the sampling distribution of the sample proportion. This is because, according to the Central Limit Theorem,

when the sample size is large enough (typically considered to be at least 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution.

In Stacy's case, she plans on surveying a random sample of students, which implies that she will have a sufficiently large sample size. Therefore, the conditions for using a normal model are satisfied.

In conclusion, Stacy can use a normal model for the sampling distribution of the sample proportion in her survey for the final project.

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Answer:

how do you plot?

Step-by-step explanation:

To the top right quadrant, the second bottom square, moving 4 units up.

The chi-square test of independence is typically used to analyze the relationship between two variables when both variables are nominal, the two variables have been measured on different individuals and the observations on each variable are within-subjects in nature. The answer is  D. all of the above

The chi-square test of independence is a statistical test that is used to determine if there is a significant association between two categorical variables. It is commonly used when both variables are nominal, meaning they consist of categories or groups rather than numerical values.

When conducting the chi-square test of independence, the data is typically collected by measuring the two variables on different individuals or units.

For example, researchers may collect data on the gender (nominal variable) and political affiliation (nominal variable) of different individuals and analyze whether there is a relationship between the two variables.

The test examines the observed frequencies of the different categories in a contingency table and compares them to the expected frequencies under the assumption of independence. If the observed and expected frequencies significantly differ, it suggests that there is an association between the two variables.

Therefore, the chi-square test of independence is applicable when both variables are nominal and the data is collected on different individuals. This allows researchers to investigate the relationship between the variables and determine if they are associated or independent.

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Answer:

two

Step-by-step explanation:

Answer:

\( \frac{7}{4} \pi\)

or

\( \frac{3}{4} \pi\)

Step-by-step explanation:

See attached. I know (very haphazard). But the basic method is to inverse the trig function. This gives you the position of the terminal angle. -45 degrees means that you turned 45 degrees clockwise and are in quadrant 4. This corresponds to an angle of rotation of 315 degrees counter clockwise which is what we are looking for since the specified domain is betwern 0 and 360 degrees or 0 and 2 pi.

The next thing to remember is that Tan is also negative in Quadrant 2 (using the ASTC rule). This corresponds to an angle of rotation of 180 - 45 = 135 degrees.

Hope that helps.

Answer:

no thxxxx

Step-by-step explanation:

(a)An function the deformation gradient F is F = 1 γ 0,0 2X2 0,0 0 1

(b The right Cauchy-Green deformation tensor C is C = 1+γ²γ 0,

γ 4X2²0,0 0 1 the left Cauchy-Green deformation tensor B is B = 1+γ² γ 0,γ γ²+4X2² 0,0 0 1.

(a) Deformation Gradient F:

The deformation gradient is defined as the derivative of the deformed coordinates x with respect to the initial coordinates X:

F = ∂x/∂X

Given the shear deformation x = φ(X) with x1 = X1 + γX2, x2 = X2X2, and x3 = X3, we can compute the deformation gradient as follows:

F =∂x1/∂X1 ∂x1/∂X2 ∂x1/∂X3

∂x2/∂X1 ∂x2/∂X2 ∂x2/∂X3

∂x3/∂X1 ∂x3/∂X2 ∂x3/∂X3

Taking the partial derivatives:

∂x1/∂X1 = 1, ∂x1/∂X2 = γ, ∂x1/∂X3 = 0

∂x2/∂X1 = 0, ∂x2/∂X2 = 2X2, ∂x2/∂X3 = 0

∂x3/∂X1 = 0, ∂x3/∂X2 = 0, ∂x3/∂X3 = 1

(b) Right and Left Cauchy-Green Deformation Tensors C and B:

The right Cauchy-Green deformation tensor C is defined as the square of the deformation gradient:

C = F²T × F

The left Cauchy-Green deformation tensor B is defined as the square of the transpose of the deformation gradient:

B = F × F²T

Calculating C:

C = F²T × F

C = 1 0 0

γ 2X2 0

0 0 1

1 γ 0

0 2X2 0

0 0 1

C =1+γ² γ 0

γ 4X2² 0

0 0 1

Calculating B:

B = F × F²T

B = 1 γ 0

0 2X2 0

0 0 1

1 0 0

γ 2X2 0

0 0 1

B = 1+γ² γ 0

γ γ²+4X2² 0

0 0 1

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