A bus heading to Belfast leaves Antrim every 36 minutes.A bus heading to Ballymena leaves Antrim every 45 minutes. At 10am bus to Belfat and abus to Ballymena both leave Antrim Bus Station.Work out the next time that both buses leave at the same time.

Answer:

Domain: the set of “Pregant Sheep”

Range: the set of “Lambs Born”

Exaplain why your Relation is a Function.

“The reason it‘s a function is the fact that there is two parents (if you include the dad) and you can have one to three lambs born.  

Step-by-step explanation:

We want to write a real-world example of a relation that is a function.

First, let's describe what a function is.

A function is a relationship that maps elements from a set, the domain, into elements from another set, the range.

Such that each element in the domain can be mapped into only one element in the range.

So for example, if for a given item we have 2 different prices, like:

this is not a function, because the input "bar of soap" is being mapped into two different elements of the range.

Now that we know what a function is, we can create a real-world example.

Let's create a really simple one, let's say that in your local store they sell each bar of soap for $2.

Then, if you buy x of these, the cost will be x times $2, or:

$2*x

Then we can create a function, the cost function, that models the cost of buying x bars of soap at your local store, it is:

c(x) = $2*x

This is a function that models a "real-world" problem.

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Answer:

33cm ; 53 cm

Step-by-step explanation:

Let the length of one piece = x cm

Length of the other piece = (x + 20) cm

x + ( x+ 20) = 86 cm

x + x + 20  = 86

     2x + 20 = 86

              2x = 86- 20

             2x = 66

               x = 66/2

                x = 33 cm

Length of the longer piece = x + 20 = 33 +20 = 53 cm

To find the marginal density of X/Y, we need to integrate the joint density function fXY(x, y) over the range of Y. By performing the integration, we obtain the marginal density of X/Y as a function of X. The resulting marginal density provides information about the distribution of the ratio X/Y.

The marginal density of X/Y can be obtained by integrating the joint density function fXY(x, y) over the range of Y. In this case, the joint density function is given by:

fXY(x, y) =

  24xy    if x >= 0, y >= 0, and x + y <= 1

  0       otherwise

To find the marginal density of X/Y, we integrate fXY(x, y) with respect to y, while keeping x as a constant. The integration limits for y can be determined based on the given conditions x >= 0, y >= 0, and x + y <= 1. Since y must be non-negative, the lower limit of integration is 0. The upper limit of integration can be determined by the constraint x + y <= 1, which implies y <= 1 - x.

Integrating fXY(x, y) over the range of y, we obtain the marginal density of X/Y as follows:

fX/Y(x) = ∫[0 to (1 - x)] 24xy dy

Evaluating the integral, we have:

fX/Y(x) = 24x * ∫[0 to (1 - x)] y dy

       = 24x * [(y^2)/2] evaluated from 0 to (1 - x)

       = 12x * (1 - x)^2

The resulting marginal density fX/Y(x) represents the distribution of the ratio X/Y. It provides information about the likelihood of different values of X/Y occurring. The shape of the distribution can be further analyzed to understand the characteristics of the random variable X/Y.

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Question options:

A. Yes, Walter is correct.

B. No 3.612 is less than 13.

C. No, both 3.612 and 3.622 are greater than

D. No, both 3.612 and 3.622 are less than 13

Answer:

C. No, both 3.612 and 3.622 are greater than the square root of 13

Explanation:

13 is a prime number and must have a decimal number as its square root and so the square root should be between √9 and √16

Using the Newton Raphson method to estimate the square root of 13 with the formula: ai +1= ai²+n/2ai

We get square root of 13 = 3.6055512

This is the same result we get using a calculator to calculate square root of 13= 3.6055512

So yes Walter is not correct

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:-7/9 ( as a fraction )

Step-by-step explanation:

To isolate x divide 9 on both sides

You get -7/9

The estimated number of people among a population of 1,000,000

people who would prefer the old layout is 34000.

Stratified random sampling is a method of sampling that involves dividing the population into smaller subgroups called strata. In stratified random sampling, or stratification, strata are formed based on common or member characteristics, such as income or education. Stratified random sampling has many applications and advantages, such as the study of demographics and life expectancy.

Given that:

Thirty-four percent of 1,000 people surveyed who preferred the old layout ,and,

To find: the estimated number of people among a population of 1,000,000 people who would prefer the old layout.

Now,

The 34% is 1000 people surveyed for the old layout website.

1000 × 34% = 340

and, therefore, the estimated number of people among 100000 people is:

100000 × 34% = 34000

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Answer:

One

Step-by-step explanation:

3x-5=-3 add 5 to each side.

3x-5+5=-3+5   simplify.

3x=2       divide each side by three.

3x/3=2/3     simplify

x=2/3

Answer:

2x-3y-6=0

Step-by-step explanation:

move the constant to the left hand side and change its sign (-2x+3y+6=0)

change the signs on both sides of the equation (2x-3y-6=0)

hope this helps, have great day! :)

Answer:

Multiply the first equation by -1

Step-by-step explanation:

Here, we ware being asked the step to take to solve the simultaneous equation

What is right here is to multiply the first equation by -1

By multiplying the first equation by -1, we will have it that the value of y in that equation becomes negative

It is from here we can now add both equations together to have only real x terms

Answer:

C. 4 + 8 - (-11)

Step-by-step explanation:

C:

4 + 8 = 12

- (-11) = 11

12 + 11 = 33

(A: 4 - 8 = -4 + (-11) = -4 - 11 = -15)

(B: 4 - 8 = -4 - (-11) = -4 + 11 = 7)

(D: 4 + 8 = 12 + (-11) = 12 - 11 = 1)

Answer:

x = 1, -2, -7

Step-by-step explanation:

Just factor, you got this!

An inscribed angle is formed by two chords of a circle that intersect at a vertex located on the circle.

The angle itself is formed by the two sides of the angle, which are the line segments connecting the vertex to the endpoints of the chords. The property that makes inscribed angles interesting is that the measure of an inscribed angle is half the measure of the intercepted arc on the circle.

This relationship holds true for any inscribed angle in a circle, making it a useful concept in geometry for solving problems involving angles, arcs, and circles.

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Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

Hence, according to the question given, we have Jenny got 21 large buttons.

A ratio is a mathematical relationship between two values that are usually expressed as the quotient of one value divided by the other. In order to compare or explain the relative sizes of two or more quantities, ratios can be used.

A particular kind of ratio called a proportional relationship is one in which the ratio between the two quantities is constant. To put it another way, if you increase one amount by a specific factor, the other amount will also be multiplied by that same factor.

Jenny purchased a bag of mixed buttons containing 30 total buttons,70% were large.

We can use the following method to determine how many large buttons she received:

number of large buttons = percentage of large buttons x total number of buttons

By substituting the provided values, we get the following:

number of large buttons = 70% x 30 buttons

                                         = 0.7 x 30 buttons

                                         = 21 buttons

Therefore, Jenny got 21 large buttons in the bag of mixed buttons.

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Answer:

Step-by-step explanation:

first, you have to divide the total cost of the passes by the number of teachers and students combined. Then you must multiply the individual cost of the pass by the number of students. Finally, you have to take the total cost for student passes and add it to the cost of the lunches, then you answer.

The correct equation of the graphed line in standard form is `3x + y = 4`.

The given graph of the line is shown below,The given graph passes through the points (-1, 1), (0, 4), and (1, 7).

From the above graph, we can see that the y-intercept of the line is 4 and the slope of the line is 3.

We can find the equation of the line using slope-intercept form of equation of line as shown below,

y = mx + b

Here, m = slope of the lineb = y-intercept of the linem = 3 and b = 4

Therefore, the slope-intercept form of the equation of line is,y = 3x + 4

To write this equation in standard form, we can rearrange the terms in the above equation to get,

3x - y = -4

To find the equation of the graphic line in standard form, we need to rewrite it in the form Ax + By = C.

Where A, B, and C are integers.

Consider the options provided:

-3x + y = -4

y = 3x - 4

y + 3x = 4

3x - y = 4

Of these options, the standard form, The equation is 3x - y =. 4

Therefore, the equation of the straight line in standard form is 3x - y = 4.

Hence, the equation of the graphed line written in standard form is 3x - y = -4.

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Answer:

Step-by-step explanation:

D. never

A parameter is a fixed value that represents a characteristic of a set population, such as the population mean or population proportion. It is a fixed value that is true for the entire population, it is calculated using all the data of the population. For example, the mean of the height of all adults in a country is a parameter. Since it is based on all the data, it is not an estimation, it is the true value of the population. Therefore, a parameter does not change, it is a fixed value for a set population.

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

\(a_{c} = \frac{v^{2} }{r}\)

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

\(v = wr = \frac{2\pi r}{T}\)

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

\(a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm\)

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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Answer:7) x= Radical 3 y=1

8)x=12    Y=6 radical 3

9) n= 4/radical 3 m=2( 4/radical 3) [you’ll have to rationalize these since you can’t have a radical in the bottom]

10) x= 7/2 radical 3. y=7/2

The domain and range of f(x) = |x| is

Domain: all real numbers

range: positive real numbers

The distance of a number from a number line's origin is referred to as the absolute value of that number. Its representation is |x|, which establishes the size of any integer 'x'.

Any integer's absolute value, regardless of its sign, will be one of the real numbers, whether it is positive or negative. The modulus of x, which is represented by two vertical lines |x|, is a mathematical concept.

Without taking direction into account, absolute value describes how far away from zero a certain number is on the number line. A number can never have a negative absolute value.

Since absolute value can be zero the range is all positive numbers

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Answer:

21/200

Step-by-step explanation:

28% × 3/8

28/100 × 3/8

84/800 = 21/200

Answer:

\( \boxed{\red{\frac{21}{200}}} \)

Step-by-step explanation:

\( \frac{3}{8} \times 28\% \\ \frac{3}{8} \times \frac{28}{100} \\ = \frac{84}{800} = \frac{21}{200} \)

Answer:

NO

Step-by-step explanation:

b/c when u say (5x)³ u will multiple 5x 3 times by itself . but when we say 5x³ you will multiple x 3 time . so they are d/t and you can't write 5x³ instade of (5x)³ .

Answer:

the answer is exponential!

Step-by-step explanation:

the relation is linear.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b. In daily life, linear relationships are pretty typical.

Given

Numbers have a common difference of 5 from each other.

So relation is linear.

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The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

B=8

Step-by-step explanation:

you add 19 to both sides of the equation to get B by itself.

\(B=-11+19\\B=8\)

answer:

8,

reason

11+8=19

alalalalalalalaalalalalal

20character minimum^

For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

According to the statement

we have given that the by which method we use the different levels of a qualitative independent variable and we have to explain about it.

So, For his purpose, we know that the

A dummy variable is a variable that takes values of 0 and 1, where the values indicate the presence or absence of something.

And in the multiple regression method there are a lot of different variables which are used for a qualitative and for this a variable is used which is called the dummy variables.

By this variables we show the analysis between the given data. it gives the output in the 0 and 1 numbers.

So, For the levels of qualitative, the variable called dummy variables is used in the multiple regression method.

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