Which statement describes the graph of 4x7 40x6 100x5?

Answers

Answer 1

The graph of 4x7 40x6 100x5 is a straight line that decreases in slope as x increases.

The graph of 4x7 40x6 100x5 is a linear graph with a positive slope. The graph starts from the point (4,7) and increases in a linear fashion. At the point (40,6) the value of y is 6 and the value of x is 40. The graph then continues to increase as the value of x increases. At the point (100,5) the value of y is 5 and the value of x is 100. The graph of 4x7 40x6 100x5 is a linear graph with a positive slope, increasing from 4x7 to 100x5, and having a y-intercept of 0.The graph then continues to decrease in slope as x increases and reaches the point (40,6) and finally (100,5). This graph is a linear equation which can be written as

y = mx + b

where m is the slope and b is the y-intercept. . The y-intercept is the point where the graph crosses the y-axis and can be found by substituting 0 for x in the equation.The slope is calculated by subtracting the y-values and dividing by the x-values, which gives us a slope of -1/96. The y-intercept is calculated by substituting 0 for x in the equation, which gives us a y-intercept of 7.

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Related Questions

How do you know if the graph opens upward or downward?

Answers

The graph of the quadratic equation which represents the parabola can be opened upward or opens downward depending upon the nature of the equation and coefficient

If the equation is in the form of [tex]y^{2} =ax+b[/tex]  where [tex]a[/tex] is called the leading coefficient

The graph of a quadratic function opens upward or downward depending on the value of the leading coefficient a if the leading coefficient is greater than zero, ([tex]a[/tex]>0)  the parabola opens upward, and if the leading coefficient is less than zero,([tex]a[/tex]<0) the parabola opens downward.

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Rays are shown from point P, the center of dilation, through the vertices of angles QRS. Dilate angles QRS by a scale factor of 2

Answers

The dilation of the angle with vertices QRS has been dilated by scale factor 2.

What is the transformation of a graph?

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given angle QRS.

The length of QS = 2 grids and RS = 3 grids.

By dilated by 2 scale factor.

The length QS must become 2 x 2 = 4 grids and RS by 3 x 2 = 6 grids.

The R and Q must be in dotted lines as shown below.

Q'R'S' is the dilated figure.

Hence "The angle with vertex QRS has been enlarged by a scale factor of 2".

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What are the 3 linear formulas?

Answers

Basic Formula: ax + by = c

where a 0 and a, b, and c are all real numbers. m ...

Form of the Slope Intercept: y = mx + b

where (x,y) is a line connecting the points y and x.

In two-point form, y y 1 = m (x x 1) y y 1 = m (x x 1)

In the case where (x1,y1) (x 1, y 1) and (x2,y2) (...

Form of Intercept:

x/ x0 x 0 and y/ y0 y 0 equal 1.

where y0 y 0 = y-in and x0 x 0 = x-intercept...

What are the two types of two-variable linear equations?

Different forms of a two-variable linear equation are possible, including standard form, intercept form, and point-slope form. For instance, the equation 2x+3y=9 may be expressed using either of the following forms: 2x+3y-9=0 (standard form), y = (-2/3)x + 3, and Form of the Intercept: y - 5/3 = -2/3(x + (-2)) (point-slope form).

How are linear equations solved?

Find the value of the variable that causes the equation to be true in order to solve linear equations. Utilize the inverse of the variable's multiplier and divide or multiply both sides by it. To obtain the variable value, simplify the result. Put your solution back into the equation to verify it.

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Daphne participated in a challenge for National November Writing Month. All of the stories she
wrote for the challenge were more than 4 pages long.

Let z be the number of pages in a story. Which inequalities represent lengths of stories
more than 4 pages long? Select ALL that apply.

1: X <4
2: x >4
3: 4> x
4: 4< x

Answers

None of the given option is correct as for relating z i.e number of pages and pages wrote by Daphne we need a variable z in options.

What are inequalities?

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance. When two quantities are equal, we use the sign "=," and when they are not equal, we use the symbol "," which stands for "not equal." The first value may be greater than (>), less than (<), greater than equal to (>=), or less than equal to (<=) the second value if the two values are not equal.

The words "inequality" and "inequalitas," which mean "unequal, unlike, distinct," and "changeable," respectively, derive from the Old French and Latin, respectively. The magnitude, number, and intensity of two quantities or expressions are compared using this phrase.

For given situation correct relation will be z>4 which is not given in any of the option.

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What is the solution Ofsimultaneous equations 5x 3y 8 and 3x Y 2?

Answers

The solution of the  simu1taneous equation  5x−3y=8; 3x+y=2 is  x=1andy=−1.

What is simultaneous equations?Two or more algebraic equations that share variables, such as x and y, are said to be simultaneous equations. Since the equations are solved simultaneously, they are known as simultaneous equations. These equations alone could have an endless number of solutions.A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system. In order to create a single equation that contains the other unknown, one of the unknowns must be removed or eliminated. It is best to use examples to explain the process. Example Address the parallel equations. 3x + 2y = 36 (1) 5x + 4y = 64 (2) . y = 6 So, x = 8 and y = 6 is the complete solution.

Consider the equation 3x+y=2

Multiply the equation by 3 so that we can eliminate y

3(3x+y=2)=3×2

9x+3y=6

Adding it with 5x−3y=8

9x+3y+5x−3y=6+8

14x=14

x=1

Putting the value of x in equation 3x+y=2

3×1+y=2

3+y=2

y=2−3

y=−1

So, we have x=1andy=−1

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24 is 80% of what number? 26 28 30 48

Answers

Answer:

26

Step-by-step explanation:

in the equation 5x + 9 = 3x, _______ and ________ are like terms.

Answers

Answer:

5x and 3x are like term

Step-by-step explanation:

as per the question 5x plus 9 is equal to 3x The common is X that means 5x and 3x as 5 plus 3 is nine

What is the quotient 6x4 15x3 10x2 10x 4 3x2 2 )? 6 points group of answer choices 2x2 − 5x 2 2x2 5x − 2 2x2 − 5x − 2 2x2 5x 2?

Answers

The quotient is 2x2+5x2+2.

The rational root theorem, also known as the rational root test, is an algebraic theorem that states that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, both the constant term (the term without a variable) and the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator.

Since we have already provided it

[tex]\frac{(6x^2+15x^3+10x^2+10x+4)}{(3x^2+2)}[/tex]

We will now factor the numerator to determine the quotient:

Use the theorem that says [tex]a_0=4[/tex] and [tex]a_n=6[/tex].

[tex]a_0[/tex] divisions are 1, 2, and 4.

[tex]a_n[/tex] is divided into 1, 2, 3, and 6.

Check the following logical figures as a result: ±[tex]\frac{1,2,4}{1,2,3,6}[/tex]

[tex]-\frac{2}{1}[/tex] is a root of the expression, so factor out [tex]x+2[/tex]

[tex]=(x+2)\frac{6x^4+15x^3+10x^2+10x+4}{x+2}[/tex]

[tex]= \frac{6x^4+15x^3+10x^2+10x+4}{x+2} \\=6x^3+3x^2+4x+2[/tex]

We'll factor it in once more now:

[tex]=(6x^3+3x^2)+(4x+2)\\=2(2x+1)+3x^2(2x+1)\\=(2x+1)(3x^2+2)[/tex]

Finally, we have our factored form:

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

The complete question is:-

What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)?

a. 2x2 – 5x + 2

b. 2x2 + 5x – 2

c. 2x2 + 5x + 2

d. 2x2 – 5x – 2

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A company has 95,000 online followers and gains 100 new followers every day. Another
company starts with 0 online followers and gains 350 new followers every day.
After how many days will the two companies have the same number of followers?

Answers

The number of days when the two companies will have the same number of followers is 380 days.

How to calculate the number of days?

The first step is to form linear functions that represent the information of the two companies. The form of the functions is:

Total followers = initial number of followers + (number of new followers x number of days)

The linear function that represents the online followers for the first company is:

Total followers = 95,000 + 100d

The linear function that represents the online followers for the second company is: Total followers = 350d

When the companies have the same number of followers the two above equations would be equal 95,000 + 100d = 350d

95,000 = 350d - 100d

95,000 = 250d

d = 95,000 / 250

d = 380

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1/8n=−7 the value of n

Answers

Answer:

n = -56

Step-by-step explanation:

1/8n=−7

1/8 * n = −7

n * 1/8 = −7

n/8 = −7

8 * n/8 = -7 * 8 ==> multiply each side by 8 to isolate n and remove fractions

n = -56

__________________________________________________________

Hello! In this question, we are going to solve for the variable "n".

__________________________________________________________

Explanation:

In the question, we were given the equation:

[tex]\frac{1}{8} n=-7[/tex]

We will solve for the variable "n" by getting it by itself, which would then be our "n" value.

__________________________________________________________

Solve:

Let us solve for n:

[tex]\frac{1}{8} n=-7\\\\\text{To get "n" by itself, we will multiply by 8 to eliminate the fraction}\\\text{Whatever you do to the left side of the equal sign, you do to the right}\\\text{Multiply both sides by 8}\\\\8\times\frac{1}{8} n=-7\times8\\\\n=-56\\\\\text{Since "n" is now by itself, we can't simplify any further, therefore our }\\\text{ "n" value would be \boxed{-56}.}[/tex]

__________________________________________________________

Answer:

[tex]\boxed{n=-56}[/tex]

__________________________________________________________

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Find a set of vectors spanning the null space of A= 1 1 2 -1 2 3 6 -2 -2 1 2 2 0 -2 -4 0

Answers

The set of vectors spanning the null space of A is {(0,0,z)}.

A set of vectors spanning the null space of a matrix A is a set of vectors that, when multiplied by the matrix A, result in the zero vector. In other words, these vectors are in the null space of A because they are mapped to the zero vector under the transformation represented by A.

To find a set of vectors spanning the null space of matrix A, you can use the following steps:

Write the matrix A in row-reduced echelon form.Identify the pivot columns in the matrix. These are the columns that contain the leading 1's in the row-reduced echelon form.For each pivot column, assign a variable to the corresponding pivot row.For each pivot column, set the variables corresponding to all other rows in the column equal to 0.For each non-pivot column, set the variables corresponding to the rows in the column equal to a free variable.The set of vectors formed by the values of the variables is a set of vectors spanning the null space of A.

To find a set of vectors spanning the null space of the matrix A= 1 1 2 -1 2 3 6 -2 -2 1 2 2 0 -2 -4 0:

Write the matrix A in row-reduced echelon form:

1 1 2 | -1

0 0 0 | 0

0 0 0 | 0

The pivot columns are the first and second columns, which contain the leading 1's.

Assign variables x and y to the pivot rows:

1 1 2 | -1

0 0 0 | 0 x

0 0 0 | 0 y

Set the variables corresponding to all other rows in the pivot columns equal to 0:

1 1 2 | -1

0 0 0 | 0 0

0 0 0 | 0 0

Set the variables corresponding to the rows in the non-pivot column equal to a free variable z:

1 1 2 | -1

0 0 0 | 0 0 z

0 0 0 | 0 0 z

The set of vectors spanning the null space of A is {(0,0,z)}.

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How do you prove a square is congruent?

Answers

Answer:

How To Find if Triangles are Congruent 1 SSS (side, side, side) 2 SAS (side, angle, side) 3 ASA (angle, side, angle) 4 AAS (angle, angle, side) 5 HL (hypotenuse, leg)

hope this helps

mark me brainliest

Step-by-step explanation:

x^2 = 225
Explain the first step in solving this equation.
Solve and check your solution.

Answers

First step is to find the root out of 225
The answer: x=15

Answer:

Step-by-step explanation:

x^2 = 225

x = √15

What are the top 3 factors that contribute to your success?

Answers

The top three factors that contribute leading to my success are

HonestyPurpose and Intuition.

There are several factors that I believe are important to a successful venture, business or individual. But in my opinion my main factors are:

Honesty really is the best policy. If you aren't honest with your work and yourself, you won't be successful.Purpose is born from stronge self-honesty . You can find a lot of freedom working for yourself, but make no mistake, it's work. Life is meaningless without any purpose of life.Getting started on your path to success isn't always obvious. Through experience, I have learned that sometimes you need to try different states of mind and learn along the way.

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How many numbers less than 1000 are divisible by 3?

Answers

There are 333 numbers less than 1000 that are divisible by 3.

To find this, you can divide 1000 by 3 to get 333 with a remainder of 1. Since the numbers less than 1000 that are divisible by 3 do not include 1000, you subtract 1 from 333 to get 332. However, 0 is also divisible by 3, so you should add 1 to 332 to get 333 as the final answer.

In mathematics, what is a divisible?

When a number divides evenly (i.e., leaves no residue), it is said to be divisible. For instance, since 2 can be divided by 34 equally, 34 may be divided by 2. 34 is not divisible by 3 since doing so would leave us with a remainder.

How are three divided?

A whole number is said to be divisible by three according to the three-digit rule of division if the sum of all of its digits is precisely divided by three. Without actually doing division, it is possible to establish whether a number may be divided by three.

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What is the value of 5 2 10 4 2 5x5 6?

Answers

The simplification of the given expression is found as 2.

Explain the concept of the indices?We can determine how several times a phrase has already been multiplied in and of itself using an index, which is a tiny number.Indexes is the plural of index.

The stated expression is-

= (5⁻² x 10⁻⁴) / (2⁻⁵ x 5⁻⁶)

Taking the reciprocal of the numbers.

= (2⁵ x 5⁶) / (5² x 10⁴)

Cancel the common power

= (2⁵ x 5⁴) / ( (2x5)⁴)

Expanding the power

= (2⁵ x 5⁴) / ( 2⁴ x 5⁴)

Again cancel the common power.

= 2

Thus, the simplification of the given expression is found as 2.

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The correct question is-

What is the value of (5⁻² x 10⁻⁴) / (2⁻⁵ x 5⁻⁶)?

whoever answer first gets brainlist

Answers

Answer:

$165

Step-by-step explanation:

5% interest rate = 1 month

10% interest rate = 2month

10% = 0.1

Take $150 times 0.1 = $15

Find the total cost by taking

$150 + $15 = $165

So, the total cost of Jill's uniform is $165

where do the asymptotes occur in
y = 1/3 cot 2x

how can i know?
someone help!

Answers

Answer:

[tex]\displaystyle{x=\dfrac{\pi}{2}n}[/tex] for n is any integers

Step-by-step explanation:

To know the asymptotes, first, we must know values of x that we turn y-value into an undefined value.

We know that:

[tex]\displaystyle{\cot x = \dfrac{1}{\tan x}}[/tex]

Now we have to find value of x that turns the identity above into undefined value, and that is [tex]\displaystyle{x=n\pi}[/tex] where n is any integers. (This gives 1/0 for all x = nπ)

Therefore, a function [tex]\displaystyle{\cot x}[/tex] has asymptote lines at [tex]\displaystyle{x=n \pi}[/tex] for n is integers.

If we consider the given problem:

[tex]\displaystyle{y=\dfrac{1}{3}\cot 2x}[/tex]

We have to find values of x that turn y-value undefined. We know that [tex]\displaystyle{x=n\pi}[/tex] is asymptotes for [tex]\displaystyle{\cot x}[/tex]. Therefore, [tex]\displaystyle{2x=n\pi}[/tex] has to be asymptotes for [tex]\displaystyle{y=\dfrac{1}{3}\cot 2x}[/tex].

Hence, the asymptotes occur at [tex]\displaystyle{x=\dfrac{\pi}{2}n}[/tex] by solving the equation and for n is any integers.

What is special about rigid transformations?

Answers

transformations and rigid body symmetric transformations. Geometric figures' sizes and shapes are unaltered throughout a stiff transformation (also known as an isometric transformation).

What type of transformation is rigid Why?

A stiff transformation in mathematics, commonly referred to as a Euclidean transformation or a Euclidean isometric transformation, is a geometric transformation of Euclidean space that keeps the Euclidean distance between each pair of points. Transformations of rigid bodies can take the shape of rotations, translations, reflections, or any combination of these.

transformations and rigid body symmetric transformations. Geometric figures' sizes and shapes are unaltered throughout a stiff transformation (also known as an isometric transformation). a unique kind of metamorphosis when the characters' sizes or shapes are left unaltered.

Area = [tex]\sqrt{s(s - a)(s - b)(s - c) }[/tex]

and, here s = half the perimeter,

[tex](a + b + c)/2.[/tex]

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suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same. what is the probability that one of the first three golfers that registered for the tournament will win?

Answers

The correct answer c. 0.300

All the golfers have similar skill levels, which means that they are equally as likely to win the tournament.

The sum of all 10 golfers probability to win the tournament is 100/10 = 10%.

What is the probability that one of the first three golfers that registered for the tournament will win?

Each one of them has a 10% probability of winning

3*10% = 30% = 0.3

So the correct answer is:

c. 0.300

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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Full Question :Suppose that 10 golfers enter a tournament and that their respective skill levels are approximately the same. What is the probability that one of the first three golfers that registered for the tournament will win?

a. 0.111

b. 0.001

c. 0.300

d. 0.9

e. 0.850

How to find duplicate elements in array in java using HashMap?

Answers

In this function, we use Java's HashMap to locate duplicate elements in an array. The input array's items are kept as keys and their occurrences as values in a hash map. Any key that has a value greater than one (>1) is considered to be a duplicate element.

In Java, you may discover duplicates in an array using a variety of ways. This article will teach you how to use Java's Brute Force method, Sorting method, HashSet, HashMap, and Java 8 Streams to locate duplicate elements in an array. Let's examine each one in turn.

Private static void new HashMap(); HashMapInteger, Integer> map = new

HashMap; findDuplicatesUsingHashMap(int[] inputArray);

for (int element: inputArray)

if (map.get(element) == null) map.put(element, 1);

else map.put(element, map.get(element)+1);

Set> Set entry "Integer, Integer" map entrySet =. entrySet();

for (EntryInteger, Integer> entry: entrySet)

if(entry.getValue() > 1)

System.out.println("Duplicate Element: "+entry.getKey()+" - found "+entry.getValue()+" times.");

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What is the inverse of 8?

Answers

The additive inverse of the number 8 is " -8 "  .

The Inverse (Additive) of the number is defined as the number that is added to a given number to make the sum zero ;

that means : If a number is added to its additive inverse, then the sum of both numbers becomes 0 .

So , that means to find the additive inverse of "8" , we have to find the number such that on adding it to 8 , we get the sum as 0 .

let the additive inverse of 8 be = x ;

So , x + 8 = 0 ;

x = -8 .

So , putting the value in above equation,  8 - 8 = 0 .

Therefore , the additive inverse is "-8" .

The given question is incomplete , the complete question is

What is the additive Inverse of 8 ?

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ehtan put $700 into a certificate of deposit(cd) account that earns 1.8% interest each year. What will the interest of the cd account be after 6 years

Answers

The interest on Ethan's CD account will be $700 * 1.8% = 12.6$ dollars after one year. Since the CD earns 1.8% interest each year, the interest will be the same amount each year, so the total interest on the CD after 6 years will be $12.6 * 6 = 75.6$ dollars. This means that the CD will be worth $700 + 75.6 = $775.6$ after 6 years.

How do I write an algebraic expression?

Answers

An equation is like a sentence, just using a different language. Mathematical equations are telling you to do something, giving you information on how to respond, or come up with an answer. It's up to you to learn this language. However, once you know it, you can write in this language.

A mathematical equation, also known as a statement, shows that two separate expressions are equal. The two expressions are usually connected by the "equal-to" (=) sign. You can find the expressions in a mathematical statement by looking at the left-hand side and the right-hand side of the equation, using the = sign as the point of reference.  

The most popular equations are algebraic equations or expressions, in which letters are used as variables. Variables are placeholders that can assume any value. They can also be referred to as unknowns. You must solve for the correct value of the variable to make the equation true.

Let us look at an example to understand.

4x + 2x = 12

The letter x is the variable. You must find the value of x. Finding this value will make the right-hand side of the equation equal to the left-hand side. Let's solve this together.

In this case, since both variables are the same, you can add the values on the left-hand side.

6x = 12

Now, we divide both sides by the value of '6', which will help us solve for x. Consider this to be a way to unravel the equation. Also, remember that whatever is done to one side must be done to the other.

x = 2

This is exactly how to write an algebraic expression.

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How do you solve 2 5 to the second power?

Answers

Enter 5/100 for five hundredths to divide the numerator by the denominator using a forward slash. Make sure there is space between the whole and fraction components when using mixed numbers.

what is exponentiation ?

The procedure used to express repeated multiplication is known as exponentiation in mathematics. As an illustration, 10 can be expressed as "10 raised to 3," which equals [tex]10^{3}[/tex] , if it is multiplied three times.

here ,

Exponentiation: 2/5^ 2  = 4/25

Or, two fifths raised to the power of squared is equal to four twenty-fifths. The mathematical equivalent of multiplying a number by itself a certain number of times is what is known as the number's exponential value.

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P(A)=0.2 and P(B)=0.4 are independent events. P(B|A)= 0.8.
What is P(A and B) ?

a) .40
b) .16
c) .48
d) .32
e) .60

Answers

The probability P(A and B) has a value of 0.08

How to determine the probability?

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

Event A has probability 0.2Event B has probability 0.4

These mean that

P(A) = 0.2

P(B) = 0.4

From the question, we have

The events are independent events

The probability A and B is calculated as

P(A and B) = P(A) * P(B)

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

P(A and B) = 0.2 * 0.4

Evaluate

P(A and B) = 0.08

Hence, value is 0.08

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what is the answer in decimal form?

Answers

The standard deviation of the given population is 7.72.

What is population?

All of the components of the data set are included in the population, as are parameters like mean and standard deviation that can be used to measure the population. The term "population" denotes the complete group of individuals, things, events, etc.

Given data,

                   53, 36, 36, 44, 31

We know that,

Standard deviation of a population is given by :

= √ [ ∑ ( X - ц )²/N

Where, X = each data point

            ц = mean of data of population

            N = No. of data points in population = 5

We need mean,

So, mean of data of population = (53 + 36 +36 +44 + 31)/5

                                                    = 40.

So, By applying formula :

SD = √ [ ∑ ( X - ц )²/N ]

      = √1 / 5 [ (40-53)² + (40-36)² + (40-36)² + (40-44)² + (40-31)²

      = √ ( 169 + 16 + 16 + 16 + 81 )/5

      = √298/5

      =7.72.

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What is an equivalent fraction to 7 12?

Answers

The equivalent fraction of 7/12 is 14/24

The given fraction is 7/12

The given fraction is in the form of simple fraction. Simple fraction consist of the numerator and the denominator. The term on the top is called numerator and the term on bottom is called denominator.

The fraction is 7/12

The equivalent fractions means that the value of the both fraction will be equal

To find the equivalent fraction of 7/12 multiply both numerator and the denominator of the simple fraction by the same digit

Here multiply both numerator and denominator by 2

(7×2) / (12 × 2) = 14 / 24

Therefore, the equivalent fraction is 14/24

I have answered the question in general, as the given question is incomplete

The complete question is

What is an equivalent fraction to 7/12?

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help me solve this please

Answers

the answer is boy please

For what values of x and y are the triangles to the right congruent by HL?

Answers

For x = 5 and y = 3 the given triangles are congruent.

What is congruent triangles?

In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.

Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.

Let the given triangles are congruent.

So, their sides are equal.

⇒ x = y + 2         ..(1)

 3y = x + 4         ..(2)

Plug value of x in equation (2)

3y = (y + 2) + 4

3y = y + 6

2y = 6

 y = 3

Plug y = 3 in equation (1)

x = 3 + 2

x = 5

Hence, for x = 5 and y = 3 the given triangles are congruent.

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