Please help on this question

If y fluctuates inversely as x as well as x is 6 if y is 13 then x is 9.75 when y is 8.

Inverse variation is demonstrated by the following equation when two quantities, x and y, are in inverse proportion:-

x y = x1 y1

Now, if x is 6 when y is 13 and y varies inversely with x, then at y =8,

Thus,

x × 8 = 6× 13

x = (6×13)/8

x = 9.75

As a result, if y varies inversely as x as well as x is 6 if y is 13 then x is 9.75 when y is 8.

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Answer: x = 1/2

Step-by-step explanation:

2(1/2)=1
1=1

Answer: Both products are 2.6 repeating

The required Co-ordinates are A(-0.5, -0.25), B(-2.5, 1.5) and C(0.25, 0.5).

To diagram a point, first find its situation on the x-axis, then track down its area on the y-hub, lastly plot where these meet. The middle place of the chart is known as the  origin  and is composed as the point (0, 0) since it's situated at the no point on the x-axis and the no point on the y-axis.

The distance of a point from y-hub scaled with the x-hub is called abscissa or x direction of the point. The distance of a point from x-pivot scaled with the y-hub is called ordinate. The abscissa and ordinate all together are called organizes.

Now we find the co-ordinates of points on the graph,

Point A(-0.5, -0.25)

Point B(-2.5, 1.5)

And

Point C(0.25, 0.5)

Thus, required points are A(-0.5, -0.25), B(-2.5, 1.5) andC(0.25, 0.5).

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The solution set of the equation is {26}

Set is a collection of well defined objects.

Given,

The equation is represented by the sentence, "56 of a number is 30."

Replacement set for an equation is {10, 24, 25, 36}.

We need to find the solution set of the equation

"56 of a number is 30"

Fifty six of a number is thirty

56-30

26

Hence, the solution set of the equation is {26}

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Answer:

Step-by-step explanation:

In the first sequence, subtracting the previous term from each term starting from the second one gives these values: (0, 6, 12, 18, 24, . . .) is an arithmetic sequence.

How to find the common difference in the arithmetic sequence?

Common difference =  second term - first term

The difference between the terms is constant. This sequence is an arithmetic one, with the common difference being 6.

Common difference = 6.

Just by looking at the terms in the second sequence,

(1, 6, 36, 216, 1,296, . . .), the difference between the consecutive terms is not common. This sequence is not an arithmetic sequence because it is based on the multiply by 6 rule.

Like arithmetic sequences, linear equations show a common difference between numbers.

Answer: In the first sequence, subtracting the previous term from each term starting from the second one gives these values:

6 – 0 = 6, 12 – 6 = 6, 18 – 12 = 6, and 24 – 18 = 6.

The difference of the terms is constant. This sequence is an arithmetic one, with the common difference being 6.

Just by looking at the terms in the second sequence, (1, 6, 36, 216, 1,296, . . .), it’s clear that the difference of the consecutive terms is not common. This sequence is not an arithmetic sequence because it is based on the multiply by 6 rule.

Like arithmetic sequences, linear equations show a common difference between numbers.

Step-by-step explanation: Edmentum Answer

Answer:  Choice (E)   [tex]\displaystyle \text{xz} = \boldsymbol{\frac{\text{x}^3}{\text{zy}^2}}[/tex]

=========================================================

Explanation:

The goal is to find what xz is equal to (in terms of x, y, and z)

We are given [tex]\text{z}= \frac{\text{x}^2}{\text{zy}^2}[/tex]

The only thing we're missing on the left hand side is x.

Let's multiply both sides by x.

[tex]\text{z} = \frac{\text{x}^2}{\text{zy}^2}\\\\\text{xz} = \text{x}*\frac{\text{x}^2}{\text{zy}^2}\\\\\text{xz} = \frac{\text{x}*\text{x}^2}{\text{zy}^2}\\\\\displaystyle \text{xz} = \boldsymbol{\frac{\text{x}^3}{\text{zy}^2}}[/tex]

This points us to choice (E) as the final answer.

The required probability that their scores differ by more than 15 points is 0.99807.

As stated in the question, a specific country administers an exam to students with scores that are regularly distributed with a mean of 41 points and a standard deviation of 9 points. Assume we randomly select two of these testers and define the random variable d as the difference in their scores.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Z = x - μ / σ
Z = 15 - 41 / 9
Z = -2.88
Now,
P(x > 15) = P (z > -2.88)
            = 0.99807

Thus, the needed chance is 0.99807 and their scores differ by more than 15 points.

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The smallest integer value of x in the solution of the following inequality x is strictly less than 2 or x ∈ (-∞, 2)

Inequalities are statements that are represented as comparison between two or more numbers or algebraic expressions.(strictly less, strictly great, greater, lesser)

Given that the inequality 5x - 7 < 2x - 1

Solving the given equation:

5x - 7 < 2x - 1

5x - 7 - 2x < 2x - 1 - 2x

3x - 7 < -1

3x - 7 + 7 < -1 + 7

3x < 6

x < 2

Therefore, We conclude that x is strictly less than 2.

Hence x ∈ (-∞, 2)

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Answer:

56 cents

Step-by-step explanation:

cost/amount=price

4/2.24=0.56

5.6/10=0.56

6.72/12=0.56

Answer:

midsegment

Step-by-step explanation:

hope it helps!

Using simple mathematical operations, we know that we will require 1436 bricks to construct a brick wall.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

So, we know that:

A brick wall's measurements are provided by:

14.5 feet in length

Size: 0.5 feet wide

5.5 feet tall

Brick dimensions are provided by:

6 inches in length

4-inch width

2 inches tall

The number of bricks must be determined:

Thus, the number of bricks is provided by:

Number of bricks = Volume of brick wall/Volume of brick

Number of bricks = 14.5 * 5.5 * 0.5 * 12 * 12 * 12/6 * 4 * 2

Number of bricks = 1435.5

Number of bricks = 1436

Therefore, using simple mathematical operations, we know that we will require 1436 bricks to construct a brick wall.

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Ratio of the area of a square inscribed in a semicircle with radius 'r' to the area of a square inscribed in a circle with radius 'r' is equal to 2: 5.

As given in the question,

Let ABCD be the square with side 'a' inscribed in a semicircle with radius 'r'.

'O' be the center of the semicircle.

'M' be the midpoint of AB such that MB = a/2

Join OM, OB and OM ⊥ AB

OB = r

OM = BC = a

In ΔOMB.

OB² = OM² + MB²

⇒ r² = a² + (a/2)²

⇒r² = 5a²/4

⇒a² = 4r²/5

Area of the square inscribed in a semicircle = a²

                                                                         = 4r²/5

Let PQRS be the inscribed in a circle with side 'x'

Diagonal of the square inscribed in a circle = 2r

In ΔPQR,

PR = diagonal

     = 2r

PQ = QR = x

PR² = PQ² + QR²

⇒(2r)² = x² + x²

⇒x² = 4r² /2

⇒x² = 2r²

Area of the square inscribed in a circle = x²

                                                                 = 2r²

Ratio of the area of the square inscribed in ( semicircle to the : circle )

= 4r²/5 / 2r²

= 2 / 5

= 2 : 5

Therefore, ratio of the area of the squares inscribed in a semicircle to the circle is 2 : 5.

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The variable cost of producing 1000 units per week is equal to $16000.

Variable costs are those that change with volume. Raw materials, piece-rate labour, production supplies, commissions, shipping costs, packing costs, and credit card fees are examples of variable costs. The variable costs of production are referred to as "Cost of Goods Sold" in some accounting accounts.

Given,

Fixed cost of production per week =$12500

Total cost of producing 1000 units per week =$28500

then,

variable cost of producing 1000 units per week = 28500-12500=$16000

Thus, the variable cost of producing 1000 units per week is equal to $16000.

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A set of scalar parametric equations for the line that passes through points p(3, 4, 1) and q(4, -2, -1) : x = 3 + 4t, y = 4 - 2t and z = 1 - t

In this question, we have been given two points p(3, 4, 1) and q(4, -2, -1).

We need to find a set of scalar parametric equations for the line that passes through points p and q.

We know that a set of scalar parametric equations is,

x = x0 + at, y = y0 + bt, z = z0 + ct

Let (x0, y0, z0) = (3, 4, 1)

and (a, b, c) = (4, -2, -1).

Therefore, scalar parametric equations as:

x = 3 + 4t,

y = 4 - 2t

and z = 1 - t

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The successive geometric averages of a sequence of iid random variables converge to the common geometric mean.

the strong law of large numbers states that, with probability 1, the successive arithmetic averages of a sequence of iid random variables converge to their common mean . The successive geometric averages of a sequence of iid random variables converge to the common geometric mean. The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of a collection of numbers, denotes the central tendency of that set of numbers. In essence, we multiply the numbers collectively and take the nth root of the multiplied numbers, where n is the total number of data values.

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Answer: The answer to this question is x= -22/5

The equation of the required line would be x - 4y = 8.

What is the slope-point form of the line?

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

A line goes through the point (-1, 1) and (0,-3)

so the slope of the given line would be:

                     [tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{-3-1}{0-(-1)}\\\\m=-4[/tex]

And we have to find the line which passes through the point (-4, -3) and the required line is perpendicular to the given line.

As we know the product of slopes of perpendicular lines is -1.

So the slope of the required line would be = 1/4

By using a slope-point form of the line, we get

    [tex]y - y_1=m(x-x_1)\\\\y-(-3)=\frac{1}{4}(x-(-4))\\\\4(y+3)=x+4\\\\4y+12=x+4\\\\x-4y=8[/tex]

Hence, the equation of the required line would be x - 4y = 8.

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Answer:

C

Step-by-step explanation:

The interest payments is  $27,750 and the Bond payable discount is $6,259

The electro incorporated issued $740,000 of 7.5%, four-year bonds that pay interest semiannually on june 30 and december 31.

They are issued at $680,186 and their market rate is 10% at the issue date

Interest payments = $740,000 x 7.5% x 1/2 = $27,750 (the credit to Cash).

bond interest expense = carrying value at 1/1/13 (the beginning of the period) of $680,186 x market rate of 10% x 1/2 = $34,009 (the debit to Bond interest expense).

Bond payable discount

The discount amortization  $34,009 - $27,750 = $6,259

Therefore, the interest payments is  $27,750 and the Bond payable discount is $6,259

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Where the variance is 0.32, the mean is 0.40, and there are provided sets of probabilities, the standard deviation will be 0.566.

The average degree of variability in your dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. In general, values with a high standard deviation are spread out from the mean, whereas those with a low standard deviation are grouped together close to the mean.

Here,

mean=0.4

variance=(Xn-mean)².P(x)n

=(0-0.4)²*(0.64)+(1-0.4)²*(0.32)+(2-0.4)²*0.04

variance=0.32

Standard deviation=√(variance)

=√0.32

=0.566

The standard deviation will be 0.566 where variance in 0.32 and mean is 0.40 and given sets of probability.

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Answer:

below

Step-by-step explanation:

The SUM of a n-gon 's interior angles formula is :

  SUM = ( n-2) * 180       n = 7 for this figure ( 7 angles)

    (7-2) * 180  = 900 degrees    

  EACH angle in this REGULAR polygon is then 900 / 7 = 128.57°

Answer:

= this is that two expression two equal numbers

Answer:

y=−2x−2

Step-by-step explanation:

According to the binomial distribution, there are 13 questions should the student expect to answer correctly.

Binomial distribution:

in statistics, binomial distribution refers the probability of getting a success must remain the same for the trials we are investigating.

Given,

A quiz consists of 24 questions. each question has 4 answer choices with exactly one correct answer. a student is completely unprepared for the quiz, so he guesses on all 24 questions.

Here we need to find how many questions should the student expect to answer correctly.

While we looking into the given question, we have identified that the total number of questions is 24.

Number of options = 4

So, the probability of getting correct answer = 1/4 = 0.25

The probability of getting incorrect answer is,

=> 1 - 1/4 = 3/4 = 0.75

So, based on the binomial distribution,

X ~ Binomial Distribution (m=25, p=0.25, q=0.75)

Then in probability it can be written as,

=> P (X=13) = (25C13)x ((0.25)¹³) x ((0.75)¹²)

=> P (X=13) = 0.00245461663

Therefore, the number of correct answers is 13.

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Answer:

The height of the building is 20 meters

Step-by-step explanation:

The Pythagoras Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle.

[tex]c^{2}=a^{2}+b^{2}[/tex]

Where c is the hypotenuse , a is perpendicular length , b is base

Length of the shadow of a building b = 15 m.

The distance from the top of the building to the tip of shadow c = 25 m

Let us assume the Height of the building to be = a

According to the pythagoras theorem

[tex]c^{2}=a^{2}+b^{2}[/tex]

[tex]25^{2}=a^{2}+15^{2}[/tex]

[tex]a^{2} = 25^{2}-15^{2}[/tex]

[tex]a^{2}[/tex] = 625-225

[tex]a^{2}[/tex] = 400

a = 20 meters

The height of the building is 20 meters

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you are interested in measuring the effects of a computer-assisted instruction program on the math scores of elementary school students within-subjects anova.

What is an ANOVA with within-subjects?

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a 95% confidence interval for the variation in the average employee salary for the two companies.

a. The test statistic is calculated by subtracting the sample mean of Company A from the sample mean of Company B, and then dividing the result by the square root of the variance, which is calculated by summing the population standard deviations of Company A and Company B, and then dividing by the sum of the sample sizes of Company A and Company B.

Test statistic = (48 - 43) / √(12^2 + 10^2) / (72 + 50) = 0.766

b. The p-value is calculated by using the test statistic to look up the value in a t-distribution table with degrees of freedom equal to the sum of the sample sizes minus two. The p-value is 0.239.

At a=.05, the null hypothesis that there is no difference between the average salaries of the employees at the two companies cannot be rejected.

c. Company A appears to have the higher salary. The 95% confidence interval for the difference between the population mean salary of employees for the two companies is (3.073, 5.927).

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Um, is there a possibility that you could clean this question up a bit? It is a little scrambled and hard to make out of the equation given. Thanks!

When X = 3 then Y = -6

Here is the explanation:

If Y1 = -4 when X1 = 2

and if X2 = 3 when Y2 = ?

The formula is

[tex]\frac{Y2}{X2} =\frac{Y1}{X1}\\\\Y2 = \frac{Y1}{X1} x X2\\\\Y2=\frac{-4}{2}x3\\\\Y2=-6[/tex]

Hence if X = 3 then Y = -6

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