Order equivalent equations of 2(−3) = 4 2 x - 3 = 4 x to solve for x .

The commission amount is $15250.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the selling price of the house is $305000. The value of the commission will be calculated as:-

Commission = ( $305000 x 5% ) / 100

Commission = $15250

Therefore, the commission amount is $15250.

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The probability of getting exactly 1 red is 60/121

Probability theory, a branch of mathematics concerned with the analysis of random phenomena.

There is a bag filled with 5 blue and 6 red marbles.

A marble is taken at random from the bag, the color is noted and then it is replaced. Another marble is taken at random.

It is required to find the probability of getting exactly one red marble.

Now, the red marble can occur on the first draw or the second draw.

The probability of getting exactly 1 red marble from the first draw will be,

P(1) = 6/11 x 5/11

p(1) = 30/121

The probability of getting exactly 1 red marble from the second draw will be,

P(2) = 6/11 x 5/11

p(2) = 30/121

So, the total probability of the event will be,

P = P(1) + P(2)

P =  30/121 +  30/121

P = 60/121

hence, the probability of getting exactly 1 red is 60/121

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After measuring a set of individuals, a researcher finds that Bob’s score is three time greater than janes score. These measurements must come from a ratio scale. Therefore, the correct answer option is: C. ratio.

Generally speaking, there are four (4) basic scale of measurement for a variable and these include the following;

In Mathematics, a ratio scale can be defined as a quantitative scale of measurement where there is a true zero or origin characteristic. Additionally, there are equal intervals between neighboring data points on a ratio scale such as a score that is three time greater than another score.

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Complete Question:

After measuring a set of individuals, a researcher finds that Bob's score is three times greater than Jane's score. These measurements must come from a(n) ____ scale

a. nominal b. interval C. ratio O d.ordinal

Answer:

Blood Alcohol Percent = 0.01x

The correct option is B. So 3.898989.. is a irrational number.

In mathematics, all real numbers that are not rational are referred to as irrational numbers (from the in- prefix assimilate to ir- (negative prefix, privative) + rational). In other words, it is impossible to describe an irrational number as the ratio of two integers. When there is an irrational relationship between the lengths of two line segments, the line segments are also said to be incommensurable. This means that there is no length, no matter how short, that could be used to express the lengths of the two supplied segments as integer multiples of itself.

In short, an irrational number is a real number that cannot be expressed as a fraction or ratio of two integers. Examples of irrational numbers include pi (3.14159), the square root of 2 (1.41421356237...), and e (2.718281828459045...).

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The populations of states in order of greatest to least value would be:

To find the populations of the state and compare them accurately, you need to convert the populations from scientific notations to standard form.

Population of Florida :

= 1. 98 x 10 ⁷

= 19, 800, 000 people

Washington :
= 7. 06 x 10 6

= 7, 060, 000 people

California:

= 3.88 x 10 ⁷

= 38, 800, 000 people

Massachusetts :

= 6. 74 x 10 ⁶

= 6, 740, 000 people

This shows that the order of the most populous states is California, Florida, New York, Washington, Massachusetts and then Arizona.

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The amount of salary after 10 years is, 304,902.5

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

Your starting salary for a company is 32,750 a year.

And, In your contract, you are to receive an annual raise of 2.5% each year.

Now, The amount of salary after 10 years is,

⇒ A = 32,750 (1 + 0.25)¹⁰

⇒ A = 32,750 × (1.25)¹⁰

⇒ A = 32,750 × 9.31

⇒ A = 304,902.5

Thus, The amount of salary after 10 years = 304,902.5

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61 percent of the 8th graders estimated they spend less than an hour a day on social media.

To find the percentage of 8th graders who estimated they spend less than an hour a day on social media, we need to calculate the proportion of 8th graders who answered "less" and then convert it to a percentage.

There were 12 + 19 = 31 8th graders in the sample.

Out of these 31 8th graders, 19 answered "less" and 12 answered "more".

So, the proportion of 8th graders who answered "less" is 19/31 = 0.61290323.

To convert this proportion to a percentage, multiply it by 100:

0.61290323 * 100 = 61.290323 (rounded to 2 decimal places).

Finally, rounding to the nearest whole number percent, we get:

61.290323 rounded to the nearest whole number percent = 61%

Therefore, 61% of the 8th graders estimated they spend less than an hour a day on social media.

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Triangles KLM and NLM are said to be congruent are they are identical with the same measurement of angles and edges.

A congruent triangle is the triangle that equal sides and angles when measured. That is to say the two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

The side are equal= KM = MN; KL = NL

The angles are equal= < LKM = <LNM

Therefore, from the diagram given above concerning the triangles, they are both congruent.

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a. 52 , b.80 , c 1168.5, d. 214.5 , e. 283.5 , f. 175.5 , g. 476  lies between said questions.

The average of all the numbers in each range is:

a. The average of the numbers between 44 and 60 is (44 + 60) / 2 = 52

b. The average of the numbers between 70 and 90 is (70 + 90) / 2 = 80

c. The average of the numbers between 110 and 2227 is (110 + 2227) / 2 = 1168.5

d. The average of the numbers between 22 and 407 is (22 + 407) / 2 = 214.5

e. The average of the numbers between 60 and 507 is (60 + 507) / 2 = 283.5

f. The average of the numbers between 24 and 327 is (24 + 327) / 2 = 175.5

g. The average of the numbers between 400 and 552 is (400 + 552) / 2 = 476

The average, also known as the mean, is a statistical measure that represents the central tendency of a set of numerical data. It is calculated by summing all the values in a data set and dividing by the number of values in the set. The result is a single value that gives a general idea of what a typical value in the set might be. The average is an important tool for summarizing and analyzing data, and can be used to make comparisons and draw conclusions about a data set.

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The solution is Option A.

The surface area of the square pyramid is given by S = 16 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the square pyramid be S

Now , the equation will be

The surface area of the square pyramid = surface area of square + 4 ( area of triangles )

And , the side length of square a = 2 inches

So , the area of square = a² = 4 inches²

The height of the triangle h = 3 inches

The base of the triangle = a = 2 inches

So , the area of the triangle = ( 1/2 ) x a x h

On simplifying the equation , we get

The area of the triangle = ( 1/2 ) x 2 x 3 = 3 inches²

So , the area of 4 triangles = 4 x 3 = 12 inches²

Now , The surface area of the square pyramid S = 4 inches² + 12 inches²

On simplifying the equation , we get

The surface area of the square pyramid S = 16 inches²

Hence , the surface area of pyramid is 16 inches²

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Answer:

for 60 naira with a 15% off there would be a $9 dicount

Step-by-step explanation:

60*.15=9      discount rate

Answer: 104

Step-by-step explanation:

100 x 1.01^4 = 104.060401

                    = 104 (rounded)

The average number of people attending local baseball games in 2022 when this trend continues is,

⇒ 146

Ratio or numbers which can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Calculate the percent of a number , We can divide the number by whole number and multiply by 100.

Given that;

Here, For the last few years, Attendance for local baseball games is increasing by an average of 10% per year.

And, In 2018, the average attendance was 100 people.

Hence, After 4 years, Average number of people attending local baseball games in 2022 when this trend continues is,

⇒ 100 (1 + 0.1)⁴

⇒ 100 × ( 1.1 )⁴

⇒ 100 × 1.46

⇒ 146

Therefore, the average number of people attending local baseball games in 2022 when this trend continues, 146.

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The value of the product is 378

To find 14 x 27 using the area model and the distributive property

We can find the partial products and then add them up to find the final product.

First, we use the distributive property to expand the expression:

14 x 27 = (10 + 4) x 27 = 10 x 27 + 4 x 27

Next, we find the partial products:

10 x 27 = 270

4 x 27 = 108

Finally, we add the partial products to find the final product:

270 + 108 = 378

So, 14 x 27 = 378.

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Answer:

Conjecture: The product of two even numbers will always be even.

Example: 2 x 4 = 8 (even)

Test: 4 x 6 = 24 (even)

Conjecture: The product of two odd numbers will always be odd.

Example: 3 x 5 = 15 (odd)

Test: 7 x 9 = 63 (odd)

Conjecture: The quotient of two integers with a different sign will always be negative.

Example: -6 / 2 = -3 (negative)

Test: -8 / 4 = -2 (negative)

Step-by-step explanation:

The sum of the square of the ages is 405.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

The Ages of seven children are listed: x = 5, 5, 11, 9, 8, 5, 8.

The squared of the ages:

= 25, 25, 121, 81, 64, 25, 64

The sum of the square of the ages:

= 25 + 25 + 121 + 81 + 64 + 25 + 64

= 405

Therefore, the result is 405.

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Answer:

Step-by-step explanation:

The total length of the road is 27 miles, and since each cottage is separated from its neighbor by a distance of 1, 2, 3, 4, ..., 25, or 26 miles, the total length of the road occupied by these distances must sum to 27 miles. This is because the road connects the six cottages.

One possible distribution is:

Cottage 1 and 2 are 1 mile apart.

Cottage 3 and 4 are 2 miles apart.

Cottage 5 and 6 are 3 miles apart.

Cottages 1 and 3 are 4 miles apart.

Cottages 2 and 4 are 5 miles apart.

Cottages 3 and 5 are 6 miles apart.

Cottages 4 and 6 are 7 miles apart.

...

Cottages 1 and 6 are 25 miles apart.

Cottages 2 and 5 are 26 miles apart.

A second possible distribution can be obtained by reversing the order of the distances between the cottages. That is:

Cottages 2 and 5 are 26 miles apart.

Cottages 1 and 6 are 25 miles apart.

Cottages 4 and 6 are 7 miles apart.

Cottages 3 and 5 are 6 miles apart.

Cottages 2 and 4 are 5 miles apart.

Cottages 1 and 3 are 4 miles apart.

Cottage 5 and 6 are 3 miles apart.

Cottage 3 and 4 are 2 miles apart.

Cottage 1 and 2 are 1 mile apart.

There may be other possible distributions, but these two demonstrate that there are multiple ways to arrange the distances between the cottages while still satisfying the constraint that the distances must sum to 27 miles.

Let the random variable x represent the number of days per week that a member visits. The mean of x is 3.12. So the option D "The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week" is correct.

We are aware that the expected value of a random variable, also known as the random variable's mean, is the long-term average value of that variable.

Given that information was gathered on the number of days per week that members visited a particular fitness facility,

The possible values of X, which stands for the number of visits a member makes each week, are 0, 1,..., 7.

Given that the mean of X is now:

E(X) = 3.12

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The complete question is:

Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?

A. Each member visits the fitness center 3 or 4 days per week.

B. The average number of days that each member visits the fitness center is 3.12 days per week.

C. Half the members visit the finest center 3 days per week or less, and the other half visit 4 days per week or more.

D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week

E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week

Answer:

Pour calculer la moyenne, nous devons multiplier chaque valeur par sa fréquence, additionner tous les produits, puis diviser par la fréquence totale.

Le calcul ressemblerait à ceci :

(7 * 7) + (8 * 1) + (9 * 1) + (10 * 1) + (11 * 1) + (12 * 3) + (13 * 2) + (14 * 1) + (15 * 1) + (16 * 1) + (18 * 1)

= 49 + 8 + 9 + 10 + 11 + 36 + 26 + 14 + 15 + 16 + 18

= 238

Fréquence totale = 7 + 1 + 1 + 1 + 1 + 3 + 2 + 1 + 1 + 1 + 1 = 21

Moyenne = 238/21 = 11,333

La moyenne de la série est de 11,3333.

In order for Lashonda to achieve a final average of 80, she must receive a score of 86 on her last exam.

Score is a numerical value or result that is used to indicate the performance or achievement of an individual or team in a particular activity or game. A high score indicates excellence or success while a low score indicates the opposite. Score is often used to track progress and can be used to compare individuals or teams against each other. Score can also be used as a measure of progress or improvement.

To calculate her score, we add up all of her previous exam scores (95 + 82 + 89 + 70 + 76) and divide them by 6 (the number of exams taken). This gives an average of 81. We then subtract the current average (81) from her desired average (80) to arrive at the score she must receive on her last exam (86).

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The midpoint of AB connecting A(-2,5) and B(2,0) is (0, 5/2).

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Fred Claims that the midpoint of AB connecting A(-2,5) and B(2,0) is (0,5).

The midpoint is not (0, 5)

Midpoint=(-2+2/2, 5+0/2)

=(0, 5/2)

Claim has just added the coordinates of y but not finded their average.

Hence, the midpoint of AB connecting A(-2,5) and B(2,0) is (0, 5/2).

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The mean value is 1.19

x           p(x)        x*p(x)        X^2p(x)
1           0.1            0.1               0.1
2           0.15         0.3               0.6
3           0.4          1.2                3.6
4          0.25          1                   4
5           0.1           0.5               2.5
Sum        1            3.1                 10.8

Mean =Σx * p(x)

u=3.1

Variance=σ^2

=Σx*p(x)-u^2

=10.8-(3.1)^2 =1 .19    

A probability distribution is a frequency distribution that has been idealised. A frequency distribution is a description of a particular sample or dataset. It is the number of times each possible variable value appears in the dataset.

The probability of occurrence determines how many times a value appears in a sample. Probability is a number between 0 and 1 that indicates the likelihood of an event occurring:


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The factor which the function grows is 16.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here the given function is g(x)=[tex]4^x[/tex]

Now to find the factor of the interval 14 to 16 then,

put x=14 into g(x) then

=> g(14) = [tex]4^{14}[/tex]

put x=16 into g(x) then

=> g(16) = [tex]4^{16}[/tex]

Now the factor which function grows is,

=> [tex]\frac{g(16)}{g(14)}[/tex]

=> [tex]\frac{4^{16}}{4^{14}}[/tex]

=> [tex]4^2[/tex]

=> 16.

Hence the factor which the function grows is 16.

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Answer:Vowels

The letters a, e, i, o, u, are vowels and other letters are considered consonants.

Answer:

8

Step-by-step explanation:

Here, according to Basic Proportionality Theorem,

[tex] \frac{x + 4}{2x} = \frac{9}{12} \\ = > 12(x + 4) = 9 \times 2x \\ = > 12x + 48 = 18x \\ = > 6x = 48 \\ = > x = 8[/tex]

Hope it helps.

If you have any query, feel free to ask.

The average diameter of a can in inches is 2.4 inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a 12-ounce soda can has a height of 4.875 inches.

We know that, 1 ounce = 1.805 cubic inches

Here, 12 ounce = 21.6563 cubic inches

As we know, volume of cylinder is πr²h.

Now, 21.6563 = 3.14×r²×4.875

21.6563 =r²×15.3075

r²=21.6563/15.3075

r²=1.414

r=1.2 inches

Then, diameter = 2.4 inches

Therefore, the average diameter of a can in inches is 2.4 inches.

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A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Salut/Hello!

Definition of a function: In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

To make it more simple imagine a empty box with 2 holes ( one at the top and the other at the bottom ) and you insert a ball in the top hole and it falls thru the bottom hole.
When the ball falls inside the box (function) thru the top hole it'll be called
"input ball". The inside of the box can be called "function box:"
So once the ball falls out of the box thru the bottom hole it'll be called "output box(ball)".

Example: (using the image)
1. In this diagram of a function we have the domain X = {A,B,C} and codomain Y = {1,2,3} and it's defined with the set of ordered pairs  {(A, 2), (B, 1), (C, 3)} and the set range is {A,B,C}

2. In this diagram of a function we have the domain A = {1,2,3} and codomain B = {X,Y,Z} and it's defined with the set of ordered pairs {(1, Y), (2, Y), (3, Z)} and the set range is {Y,Z}

3. In this diagram, representing the set of pairs {(1,D), (2,E), (2,F)} does not define a function because 2 is the first element in more than one ordered pair, but also because 3 is not the first element of any ordered pair.


Answer:
Relation 1: Function
Relation 2: Not a function (-8 is the first element in more than one ordered pair)
Relation 3: Function (a function can contain ordered pairs that include the same value for both the domain and codomain)
Relation 4: Not a function (5 is the first element in more than one ordered pair)

I hope it was helpful! :]

The highest integer that the student can possibly score is given as follows:

92.

If the student does not study, the grade that he should expect is of:

56.

The exponential function for this problem is defined as follows:

P(t) = 36(1 - e^(-0.24t)) + 56.

In which:

The highest grade is for large values of t, meaning that e^(-0.24t) = 0, and thus:

P(t) = 36 + 56

P(t) = 92.

If the student does not study, we have that t = 0, hence the grade is given as follows:

P(0) = 36(1 - e^(-0.24 x 0)) + 56

P(0) = 0 + 56

P(0) = 56.

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Answer:

To find the time it takes for a car to stop from a velocity of 35 m/s using a braking force of 4000 N, we can use the following formula:

vf = vi + at

where

vf = final velocity (0 m/s in this case, since the car is stopping)

vi = initial velocity (35 m/s)

a = acceleration, which can be calculated as a = F/m, where F is the braking force (4000 N) and m is the mass of the car (2000 kg)

t = time

Rearranging the formula:

t = (vf - vi)/a = (0 - 35) / (4000 / 2000) = (35) / (2) = 17.5 s

Answer:

It takes the car 17.5 seconds to stop from a velocity of 35 m/s with a braking force of 4000 N.

The difference difference between the tallest height of 4 2/4 and the shortest height of 4 1/4 is of:

1/4.

The heights are given as follows:

The difference between these heights is given by the subtraction of the tallest height by the shortest height, hence:

18/4 - 17/4 = 1/4.

The fractions have the same denominator, hence we just subtract the numerators.

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