When a study uses **random sampling**, each member of a population has an equal chance of being selected.

**Cluster**** sampling** occurs when researchers randomly sample subsets of the population and then use all individuals within the subsets.

**Oversampling** is often used to select participants to represent, in an unbiased way, subsets of the population that are not large enough to be accurately measured.

All all three of these techniques are **representative** sampling techniques.

It should be noted that sampling simply means the selection of subjects from the entire **population**.

In a **random sampling**, everyone has equal opportunity of being picked.

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translate the following into a equation: the product of five and a number is the quotient

(-) of six and the same number

The **equation** for the given sentence is 5x = 6/x

Given,

The product of five and a number is the quotient of six and the same number.

We have to** translate **this sentence into an equation:

Equation:

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two** mathematical expressions**. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So here,

The product of five and a number is the quotient of six and the same number

We can take the number as x.

Then,

5 × x = 6 ÷ x

5x = 6/x

Multiply x on both sides

5x × x = 6/x × x

We get,

5x² = 6

Divide both sides with 5

5x²/5 = 6/5

We get,

x² = 6/5

x = √6/5

That is, the **equation** for the given sentence is 5x = 6/x

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How do you solve this?

The **value **of x are 4 and 2.4 after simplifying and **applying** the **quadratic **formula.

Any** equation **of the form [tex]\rm ax^2+bx+c=0[/tex] where x is **variable** and a, b, and c are any **real **numbers where a ≠ 0 is called a **quadratic** equation.

As we know, the **formula **for the roots of the **quadratic **equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The **equation **is:

4/(x - 2) + 3/(x - 3) = 5

4(x - 3) + 3(x - 2) = 5(x -2)(x - 3)

4x - 12 + 3x - 6 = 5x² - 25x + 30

5x² - 32x + 48 = 0

After solving the above **quadratic **equation by the **formula**:

[tex]\rm x = \dfrac{-(-32) \pm\sqrt{(-32)^2-4(5)(48)}}{2(5)}[/tex]

x = 4

x = 2.4

Thus, the **value **of x are 4 and 2.4 after simplifying and **applying** the **quadratic **formula.

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What is the domain of the relation(x,y):y=x(x-3) / (x+4)(x-7) ?

{ x : x = R, x -4, x 7}

{ x : x R, x = -4, x 7}

{ x : x R, x -4, x 7}

{ x : x R, x -4, x 7}

The **domain** of the **relation** as given in the task content; (x,y): y = x(x-3) / (x+4)(x-7) is the set of all real number values except; -4 and 7 and hence is represented as; { x : x R, x ≠ -4, x ≠ 7}.

It follows from the task content that the **domain** of the relation given in the task content be determined.

On this note, since the **domain** of a relation or function simply refers to the set of all possible input values of such function.

Since the relation in this scenario is a **rational** function, it follows that the **domain** is the set of all real number values except that which renders the relation undefined.

Therefore, since the values which render the relation **undefined**, render the **denominator** equal to **0**; we have;

(x+4)(x-7) = 0.

x = -4 OR x = 7.

Ultimately, the **domain** of the **relation** is the set of all real numbers except; x = -4 and x = 7.

Therefore, when represented by set builder notation; we have; { x : x R, x ≠ -4, x ≠ 7}.

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Your hotel has been reviewed on yelp 10 times you received the following ratings 4,5,5,3,5,4,2,3 what is your overall rating

The overall** **rating is 31 and the **average** rating is 3.8.

A large number of data points are reduced into a single value using **averages**. It is a visual depiction of all the **data** set's available numbers. The **average** is derived by adding up all the data values and dividing them by the total number of data points.

The word "average" is used in many different contexts in daily life. The average is computed and a single value is used to represent the values for quantities with fluctuating values.

**Overall rating** = 4+5+5+3+5+4+2+3

Overall rating = 31

Average rating =** Overall rating**/ Total number of ratings

= 31/8

= 3.8

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4x^3 - 10 = 2x^3 + 6

**Answer:**

⚠️⚠️⚠️⚠️⚠️⚠️♀️

**Step-by-step explanation:**

⚠️⚠️⚠️♀️

Gabriella enlarged the size of a painting to a width of 78 cm. What is the new height if it was originally 6 cm wide and 19 cm

tall?

After using **substitution** **method - **The **new height** of the painting will be 247cm.

**What is the** **substitution** **method**?

To solve many simultaneous **linear equations**, use the **substitution method** in **algebra**. As implied by the name, this strategy involves replacing a variable's value from one **equation** with another.

we are given the original width of the painting to be 6cm and the original height to be 19cm.

after enlarging the size of the painting the new and enlarged width becomes 78cm

and we assume the new and enlarged height of the painting to be xcm.

we now the **ratios **

original height : original width = enlarged height : enlarged width ,

will remain **equal,**

Hence **substituting** the numerical values in the ratios we get

19/6 = x/78

19 * 78 = 6x

1482/6 = x

247cm =x

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What is d to the power of 6 and d to the power of 0 equal together?

The value of d to the **power** of 6 and d to the power of 0 equal together is d^6.

The **exponent** is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same **number**. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

The information given regarding the **power** is illustrated thus:

d^6 + d^0

In this case, the addition of the **power** will be 6 + 0 = 6. Therefore, the value is d^6.

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Find the x- and y-intercepts of the graph of x+y=18. State each answer as an integer or an improper fraction in simplest form

The x- and **y-intercepts **of the **graph **of x + y = 18 both have the values of 18

The **x-intercept **of the function is the point or points where the graph of the **function **crosses the x-axis i.e. the point where the function equals 0

The equation of the graph is given as

x + y = 18

To calculate the **x-intercept**, we set the value of y to 0

This is represented as

y = 0

So, we have the following **equation**

x + 0 = 18

Evaluate the like terms

x = 18

To calculate the **y-intercept**, we set the value of x to 0

This is represented as

x = 0

So, we have the following **equation**

0 + y = 18

Evaluate the like terms

y = 18

This means that the **x-intercept **has a value of 18 and the **y-intercept **has a value of 18

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Write an equation of the line that passes through the points. (2,8), (-2,10)

Explanation.

The question asked us to write the equation of the line that passes through the points (2,8) and (-2,10)

To do this, we can use the formula:

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y-y_1}{x-x_1}[/tex]In our case, we have

[tex]\begin{gathered} x_1=2 \\ y_1=8 \\ x_2=-2 \\ y_2=10 \end{gathered}[/tex]We will simply put all the values above into the formula to get the equation of the line

[tex]\frac{10-8}{-2-2}=\frac{y-8}{x-2}[/tex]Simplifying further

[tex]\begin{gathered} \frac{2}{-4}=\frac{y-8}{x-2} \\ \\ -\frac{1}{2}=\frac{y-8}{x-2} \end{gathered}[/tex]Cross multiplying

[tex]\begin{gathered} y-8=-\frac{1}{2}\left(x-2\right) \\ y-8=-\frac{1}{2}x+1 \\ y=-\frac{1}{2}x+1+8 \\ y=-\frac{1}{2}x+9 \end{gathered}[/tex]**Therefore, the equation of the line is**

help me pls!

1. Which kind of model do you think best represents the profit for each business?

2. Find a function that models the profit you can expect, based on your projections, for each business. You can round your values to the nearest thousandth, as needed.

From the **table **given:

**1.** The** type of function **that best models each situation is:

**2. **The **functions **are given as follows:

For this problem, we have that each month, the amount increases, but the increase is approximately a **factor **of the previous amount, meaning that an **exponential equation** best models the data.

The **points **are given as follows:

(1, 5), (2, 12), (3, 23), (4, 50), (5, 62), (6, 80).

Using an **exponential regression **calculator, the equation is:

[tex]D(t) = 3.738 \times (1.749)^t[/tex]

Item 2For this problem, we have that each month, the amount increases, but the increase is approximately a **constant **from previous amount, meaning that an **linear equation** best models the data.

The **points **are given as follows:

(1, 11), (2, 19), (3, 29), (4, 38), (5, 50), (6, 73).

Using a **linear regression **calculator, the equation is:

H(t) = 11.771t - 4.533.

Item 3The amount initially increases, then it decreases, meaning that a **quadratic model** best represents the data.

The **points **are given as follows:

(1, 142), (2, 150), (3, 165), (4, 141), (5, 120), (6, 91).

Using a **quadratic regression **calculator, the equation is:

L(t) = -5.875t² + 30.582t + 116.9.

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Jason is in the business of manufacturing phones. He must pay a daily fixed cost of $500 to rent the building and equipment, and also pays a cost of $150 per phone produced for materials and labor. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

Total cost of phone in a day $650

**What is Algebra ?**

One of the many branches of mathematics is **algebra**. **Algebra**, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.

Total cost of rent in a day = $500

Total cost of per phone = $150

The equation which represents values in term of c:

150p + 500 = C

The total cost he had in a day :

= 150 + 500

= $650

Hence, the total cost throughout the day is $650

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In 1992, a postage stamp cost $0.25. In 2004, a postage stamp cost $0.37. What is the average rate of change in postage cents per year?

**Answer: 0.01 (One cent per year)**

**Step-by-step explanation:**

We need to find the price the stamp increased per year.

The difference in years is 12.

2004 - 1992 = 12

The difference in price is 0.12.

0.37 - 0.25 = 0.12

So to find price increase per year we do the following:

$0.12/12 = 0.01

$0.01 is one cent per year.

If angle DEF is a straight angle, angle DEG = (23x - 3) , and angle GEF = (12x + 8) , find each measure.

x=

mmm

The **measure **of x, m∠DEG, m∠GEF and m∠DEF will be 5,112°,68°and 180° respectively.

When two **lines **or **rays **converge at the same point, the **measurement **between them is called an "**Angle**."

It is given that,

m∠DEG = (23x-3)°

m∠GEF = (12x+8)°

As m∠DEF is a **straight angle **its angle **measurement **is 180

As a result,

m∠DEF=m∠DEG+m∠GEF

180°=m∠DEG+m∠GEF

Put the given values

180°=(23x-3)°+(12x+8)°

180=35x+5

35x=180-5

35x=175

x=5

Substitute the value of x to obtain all the **angles **as

m∠DEG=(23x-3)°

m∠DEG=(23(5)-3)°

m∠DEG=112°

For m∠GEF,

m∠GEF=(12x+8)°

substitute the value of x

m∠GEF=(12(5)+8)°

m∠GEF=68°

Thus, the **measure **of x, m∠DEG, m∠GEF and m∠DEF will be 5,112°,68°and 180° respectively.

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I don’t understand my check of solution for the equation ^4√x+12=15 with x=81 and how it becomes 15 if √81 is 9

your first step would be to simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

^4√81=3

how you do this is basically its saying is what number do you have to multiple to itself 4 times in order to get 81. which is 3

then 3+12=15, so 15=15 that meaning this statement is true :D

^4√81=3

how you do this is basically its saying is what number do you have to multiple to itself 4 times in order to get 81. which is 3

then 3+12=15, so 15=15 that meaning this statement is true :D

Need help with this pls

**Answer:**

**Step-by-step explanation:**

Mason and Daisy are building towers. Each one of Masons blocks is 6cm tall. Each one of Daisys blocks is 8cm tall. They both build towers that are exactly the same height. What is the smallest height that their towers could be?Give your answer in cm

Reason:

GCF = greatest common factor

LCM = lowest common multiple

GCF of 6 and 8 = 2

LCM of 6 and 8 = (6*8)/GCF = (6*8)/2 = 48/2 = 24

We can list out the multiples of each to confirm this

multiples of 6 are: 6, 12, 18,If Mason's tower is 24 cm tall, then he uses 24/6 = 4 blocks; while Daisy will use 24/8 = 3 blocks for her tower of the same height.

The **smallest **height that their **towers **could be 24 cm.

The **lowest **of two or more natural numbers' common multiples is referred to as the Lowest **Common **Multiple (LCM). The least Common Multiple and Least Common Divisor are other names for it (LCD). For instance, 12 is the least frequent multiple of 4 and 6.

GCF = greatest common factor

LCM = lowest common multiple

GCF of 6 and 8 = 2

LCM of 6 and 8 = (6*8)/GCF = (6*8)/2 = 48/2 = 24

We can list out the multiples of each to confirm this

multiples of 6 are 6, 12, 18, 24, 30, ...

multiples of 8 are: 8, 16, 24, 32, ...

If Mason's tower is 24 cm tall, then he uses 24/6 = 4 blocks; while Daisy will use 24/8 = 3 blocks for her tower of the same height.

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Write a sentence as an equation. Use x to represent "a number." twice a number gives 108

**Answer:**

2x=108

**Step-by-step explanation: This is the equation because when it says twice a number, you are multiplying a number two times. In this case, the number is not given, so x is the variable being multiplied two times. If the number was 8, it would look like this: 2(8)=108. Of course this isn't true, but to find the actual answer you would divide two on both sides of the equation. This is so that both of the two's cancel out on the left side of the equation. and the variable is left on that side. Our goal is to isolate the variable. In these types of equations, our goal is to isolate the variable and find what the variable is worth. If we do 108 divided by 2 that gives us 54. Since there was x left on the left side of the equation and there is 108 left on the right side we have our equation. x=54 **

**Number explanation below**

**2x=108**

**2x/2=108/2**

**x=54**

Find the equation of the line that passes through (-3,1) and is parallel to

y

=

4

−

3

x

.

Leave your answer in the form

y

=

m

x

+

c

**Answer:**

y=3x-5

**Step-by-step explanation:**

parallel lines have the same slope

If you wanted to take a simple random sample for a study on screen time in elementary school students in your town, which describes the sample you would ask?

twenty students from one elementary class in your town

twenty students from each elementary school in your town

twenty students that are friends from an elementary school in your town

twenty students that are friends from each elementary school in your town

The option that describes the **sample** you would ask is A. twenty students from one elementary class in your town.

It should be noted that a simple **random sampling** simply means a form of sampling whereby everybody has an equal **chance** of being selected.

In this case, it should be noted that the person wanted to take a simple **random sample** for a study on **screen time** in elementary school students in the town. Therefore, twenty students can be chosen to illustrate this.

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Work out the missing numbers:

b) 10.2 +

= 0.8

**Answer: -11**

**Step-by-step explanation:**

Find g(x), where g(x) is the translation 2 units right of f(x)=x.

Write your answer in the form mx+b, where m and b are integers.

The** image **of the **function **f(x) = x , after the** translation** is g(x) = x -2 .

In the question

it is given that

the **function **f(x) = x ,

and f(x) has to be **translated** 2 units to the right means subtract 2 from the function .

which means g(x) = f(x) - 2

substituting f(x) = x , we get

g(x) = x - 2

the answer in the form of mx+b is g(x) = x - 2

(can refer to the graph given below)

Therefore , The **image **of the **function** f(x) = x , after the **translation** is g(x) = x - 2 .

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Which could not be the number of snowballs Penn has?

From the question, we have:

P(n) = P(n - 1) + n²

P1 = Po + 1² = 0 + 1 = 1

P2 = P1 + 2² = 1 + 4 = 5 (This is option C)

P3 = P2 + 3² = 5 + 9 = 14 (This is option B)

P4 = P3 + 4² = 14 + 16 = 30 (This is option D)

Therefore the number of snowballs cannot be **25**.

So, the correct option is **A**, which is **25**.

Which statement best defines an angle?

A.

two lines that share a common line segment called the vertex

B.

two rays that share a common endpoint called the vertex

C.

two line segments that intersect at a point called the vertex

D.

two lines that intersect at a point called the vertex

Vertex is a **common endpoint** that is shared by the two rays. Therefore, option B is the correct answer.

We need to define the angle.

What is an angle?An **angle** is formed when two straight lines or rays meet at a common endpoint. The **common point **of contact is called the **vertex** of an angle.

Parts of an Angle

There are two main **parts** related to an **angle** - the arms and the vertex.

**Arms** of the **Angle**

The two rays which join at a **common point **to form the angle are called the arms of the angle.

**Vertex** of the **angle**

Vertex is a **common endpoint** that is shared by the two rays.

Vertex is a **common endpoint** that is shared by the two rays. Therefore, option B is the correct answer.

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Given m||n, find the value of x.

Answer:

kt

49

O

xº

Submit Answer

x° = 49°

What are alternate angles?**Alternate** interior angles are formed when two parallel lines are cut by a transversal and the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the **transversal**. These angles are equal.

Pairs of alternate angles around the transversal are equal to each other. Angles can either be **alternate interior** or exterior angles. Sum of the angles formed on the same side of the transversal of the two **parallel **lines is equal to 180°.

Given , ∠t = 49°,

Therefore angles x° will also 49° because **alternate angles** are equal when two parallel lines are cut by a transversal.

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there are 3 sides to a triangle 1 measures 115 and the other 2 are x what is x. write and solve an equation

If one angle of a 3-sided** triangle **measures 115° and the other two angles measure "x" degrees each, then the **equation **to be solved to obtain the value of "x" is [(115 + 2x) = 180] and the value of "x" will be 32.5°.

As per the question statement, one angle of a 3-sided **triangle **measures 115° and the other two angles measure "x" degrees each.

We are required to determine a Linear **equation **of singular value that can describe our concerned situation, and solving which, we will be able to obtain our desired value of "x".

To solve this question, we need to know about one basic yet very important property of a triangle, that is, the sum of all the three interior angles of a triangle is equal to 180 degrees.

Here, the three angles measure 115°, x° and x°.

Therefore, our required **equation** will [(115 + x + x)° = 180°]

or, [(115 + 2x)° = 180°]

Now solving the above mentioned **equation** to obtain the value of "x", we get, [(115 + 2x)° = 180°]

Or, [2x = (180 - 115)°]

Or, (2x = 65°)

Or, x = (65/2)°

or, x = 32.5°

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The function $y=-\frac{1}{40}\left(x-25\right)^2+15$ models the path of a football kicked by a player, where $x$ is the horizontal distance (in yards) and $y$ is the height (in yards). the player kicks the ball a second time so that it travels the same horizontal distance but reaches a maximum height that is 5 yards less than the maximum height of the first kick. write a function that models the path of the second kick.

The **quadratic function** that models the path of the second kick is given by:

y = -2/125(x - 25)² + 10.

What is the equation of a parabola of vertex (h,k)?The equation of a quadratic function, of **vertex (h,k),** is given by the following rule:

y = a(x - h)² + k

In which the **coefficients **are explained as follows:

For the **first **kick, the equation is:

y = -1/40(x - 25)² + 15.

Meaning that the ball reached a **maximum height** of yards after an horizontal distance of 25 yards.

For the** second kick**, the horizontal distance is the same, but the maximum height if 5 yards less, that is, of 10 yards, hence the **vertex **is:

(h,k) = (25, 10).

Hence the **equation **is:

y = a(x - 25)² + 10.

After 50 yards, the ball hits the ground, hence the **leading coefficient** a is found as follows:

0 = a(50 - 25)² + 10

625a = -10

a = -10/625

a = -2/125

Hence:

y = -2/125(x - 25)² + 10.

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The function f(t)=16t2 represents the distance (in feet) a dropped object falls in t seconds. The function g(t)=s0 represents the initial height (in feet) of the object. A necklace is dropped from a height of 64 feet. After how many seconds does the necklace hit the ground?

By solving a **quadratic equation**, we will see that the necklace hits the ground **2 seconds **after it is dropped.

We know that the **function**:

f(t) = 16*t^2

Represents the **distance **that an object falls down in t seconds.

If the necklace is dropped from a height of 64 feet, the necklace will hit the ground when the **distance **that an object falls down in t seconds is equal to 64 feet, so we just need to solve the **quadratic equation**:

f(t) = 64

16*t^2 = 64

t^2 = 64/16 = 4

t = √4 = 2

The necklace will hit the ground after 2 seconds.

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-2 3/8 as an improper fraction

please help asap thank u so much

**Answer:** -19/8

**What is an improper fraction?**

An **improper fraction **is where the **numerator** is **greater **than the **denominator**. To turn -2 3/8 into an **improper fraction**, we will "**combine**" -2 and 3/8.

First, we will find what -2 becomes. -2 is the same as two **wholes**:

-2 * 8 = -16

Next, we will **subtract **this into the **numerator **of the **fraction**:

-16 - 3 = -19

Lastly, we will put this new **numerator** over the **denominator**:

-2 3/8 = -19/8

Find an equation of the line that passes through the given point and is parallel and perpendicular to the given lines. Point: (-2,3) Line: 3x-6y=3

The **equation of the line** parallel to 3x-6y=3 and passes through (-2, 3) is y = 1 / 2 x + 4

The **equation of the line** passes through (-2, 3) and it is parallel to the equation 3x - 6y = 3.

Therefore, the **equation of a line** can be represented as follows:

y = mx + b

where

m = slopeb = y-interceptParallel lines have the same slope.

Hence,

3x - 6y = 3

3x - 3 = 6y

y = 1 / 2 x - 1 / 2

Therefore, the slope of the **equation** is 1 / 2.

Let's find the y-intercept using (-2, 3).

3 = 1 / 2 (-2) + b

3 + 1 = b

b = 4

Therefore, the **equation** is y = 1 / 2 x + 4

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Please help asap, I will give brainliest

**Answer:**

the answer is A

**Step-by-step explanation:**

To check your answer, move 4 units to the right and 3 units up

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Purple hibiscusChapter 7Why does Kambili eat corn flakes, and what does Papa do and say when he finds her eating?
Wat units are used to express mass an weight .
Use the drop-down menus to identify the underlined part of the position statement as either the topic, the point of view about the topic, or the reasons to support the position. Having one or two close friends is better than having many friends because those close friends will really understand you, and you will have time and energy to care about them in return. Having one or two close friends is better than having many friends because those close friends will really understand you, and you will have time and energy to care about them in return. Having one or two close friends is better than having many friends because those close friends will really understand you, and you will have time and energy to care about them in return.
In the context of Jackson's speech, how does prejudice emerge? Cite evidence from this text, yourown experience, and other literature, art, or history in your answer.
What other European country helped France to organize armies to defend against the Germans?
if the heat of fusion for water is 80. cal/g, how many calories are needed to melt 2.96 g of ice at 0 c? treat the heat of fusion as an exact value.
2. What affected economic growth and population distribution
Kuta Software - Infinite Algebra 2 Factoring By Grouping Factor ench completely. 1) 12a-9a? +40 - 3 Name Sarn on the ears Date : 120, 37443 4ac3a +1)-3(3u341) ta 2373 (403) 2) 2p'+ 5p +6p+ 15 apstept sport 2plpa
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can someone explain functions to me please I don't get it.
Which sentence contains an example of personification?O The happy trees danced in the light rain.O The snow was a blanket covering the prairie.O The waves crashed on the shore like thunder.O The morning sunlight flooded the tiny room.
if the price elasticity of supply for a good is equal to infinity, then the a. supply curve is vertical. b. supply curve is horizontal. c. supply curve also has a slope equal to infinity. d. quantity supplied is constant regardless of the price.
In his second year at Zarephath, Elijah was instructed by the Lord to visit Ahab again.TrueFalse
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a mail carrier randomly inspects every 20th letter being mailed. out of 600 letters in the sample, 3 were open. there were 18,000 letters being mailed. make an inference about the number of all the letters being mailed that were open